1) 28a + 30 b +31c =365 find a+b+c if a.b.c are natural numbers
2) P is 30% of Q
Q is 20% of M
M is 50% of N
what is P/N equal to.
3)Mother +daughter+infant age is 74. Mother age is 46 more then daughter and infant.And infant age is 0.4 of daughter. Find daughters age.
4) A takes 12 hrs to complete a work B takes 10 hrs to complete the same work time taken by them to make 2 publications working independently.
5)Some cards question. Probability of 1 ace which is red and one spade. Something like
This. Do go thru the cards ques. The decks and everything.
6)A finishes a work in 8 hrs
B finishes a work in 10 hrs
C finishes a work in 12 hrs
A,B,C work together but A leaves after 2 hrs find the time t taken by B & C.
7)There are exactly 4 Thursdays and 4 Sundays in a month of 31. Find the first day.
You can calculate easily.
8)There were some questions of this type :-
J, K, L, M and N collected stamps. They collected a total of 100 stamps. None of them collected less than 10.
No two among them collected the same number.
(i) 3 collected the same number as K and M together.
(ii) L collected 3 more than the cube of an integer
(iii) The no. collected by J was the square of an integer.
(iv) Total no. collected by K was either the square or cube of an integer.
1. The no. collected by J was:
(1) 27 (2) 49 (3) 36 (4) 64
2. The no. collected by K was:
(1) 16 (2) 27 (3) 25 (4) 36
3. The difference of numbers collected by L & M was:
(1) 3 (2) 2 (3) 5 (4) 9
9)All numbers between 11 & 100 how many times is the number 4 used
10)A & B travelling from X to Y. A starts at 12 pm at a speed of 63m/hr. B at 1:30 pm at a speed of 84m/hr.At what time will B be 34m ahead of A?
11)There were2-3 visualizing questions also.
A cube was given in 1d. With dotted lines. Faces were marked. With 1 face as x. U had to
Tell that what will be face opposite x when it is folded as a cube.
12)Another time distance, a person runs around a rectangular field. Time given speed
Given. Find the distance. Apply perimeter formula 2(length+breadth). And length and breadth
Ratio given. Find area.
13)There is a school were 60% are girls and 35% of the girls are poor.
Students are selected at random, what is the probability of selecting a poor girl out of total strength.
14)There are 3 groups A,B,C
2 members belong to all the three
3 members belong to A&B
3 members belong to B&C
3 members belong to C& A
minimum possible number of members in any three.
16)There are 5 men and 11 women. How many ways can a panel of 11 be formed such that the number of men is not more than 3.
17)Y-W-U-S-Q is coded as 25-23-21-19-17
what is S-F-A-Y-T coded as.
18) After 6 years Raju's fathers age will twice of the Raju's age 2 years ago.His mothers age was twice that of Raju's age. Sum of the age of their parents.
19) Initial price =40,000. It reduces 3/4 of previous years price every year what is the price after 3 years.
20)60 men work take 40 days to complete a work. Now suppose that is 60 men start working and every 5 days 5 people leave.In how many days will the work be complete.
21)Then there was a series completion question.
7^0,7^1 , 7^1+7^0,7^2 something like this but i was not able to solve it. I tried to ask my friends for the exact questions but wasn't able to get it, anyways some series question with include finding the missing values will come
22)There was a triangle questions. There was a diagram of a triangle with multiple symmetric triangle inside And they asked us how to many triangles there were in total
23)Three groups :: x1,x2,x3
A,b common to all three. Then atleast 1 elemnt common to 2 ie x1,x2,x2,x3,x3,x1.
Findminimum elements in each group. Answer is 4.
26)Exact sudoku type question i don't remember the value it was a 3x3 matrix and u have to find value missing values in it.
27)3 dice are rolled. Then what is the probability u will get the sum of number as 10.
Ans :27/216
28) When all words in "master" is sorted in alphabetical order then what is the 49th word.
29)Some seating arrangement question. Like X sits opposites Y and B sits 2 seats left of A type questions. You are asked to find the person sitting 4 seats right of X.
30) 3 trucks A,B,C
A loads 10 kg/min
B loads 13 1/3 kg/min
C unloads 5kg/min
If three simultaneously works then what is the time taken to load 2.4 tonnes
PAPER 4
2) P is 30% of Q
Q is 20% of M
M is 50% of N
what is P/N equal to.
3)Mother +daughter+infant age is 74. Mother age is 46 more then daughter and infant.And infant age is 0.4 of daughter. Find daughters age.
4) A takes 12 hrs to complete a work B takes 10 hrs to complete the same work time taken by them to make 2 publications working independently.
5)Some cards question. Probability of 1 ace which is red and one spade. Something like
This. Do go thru the cards ques. The decks and everything.
6)A finishes a work in 8 hrs
B finishes a work in 10 hrs
C finishes a work in 12 hrs
A,B,C work together but A leaves after 2 hrs find the time t taken by B & C.
7)There are exactly 4 Thursdays and 4 Sundays in a month of 31. Find the first day.
You can calculate easily.
8)There were some questions of this type :-
J, K, L, M and N collected stamps. They collected a total of 100 stamps. None of them collected less than 10.
No two among them collected the same number.
(i) 3 collected the same number as K and M together.
(ii) L collected 3 more than the cube of an integer
(iii) The no. collected by J was the square of an integer.
(iv) Total no. collected by K was either the square or cube of an integer.
1. The no. collected by J was:
(1) 27 (2) 49 (3) 36 (4) 64
2. The no. collected by K was:
(1) 16 (2) 27 (3) 25 (4) 36
3. The difference of numbers collected by L & M was:
(1) 3 (2) 2 (3) 5 (4) 9
9)All numbers between 11 & 100 how many times is the number 4 used
10)A & B travelling from X to Y. A starts at 12 pm at a speed of 63m/hr. B at 1:30 pm at a speed of 84m/hr.At what time will B be 34m ahead of A?
11)There were2-3 visualizing questions also.
A cube was given in 1d. With dotted lines. Faces were marked. With 1 face as x. U had to
Tell that what will be face opposite x when it is folded as a cube.
12)Another time distance, a person runs around a rectangular field. Time given speed
Given. Find the distance. Apply perimeter formula 2(length+breadth). And length and breadth
Ratio given. Find area.
13)There is a school were 60% are girls and 35% of the girls are poor.
Students are selected at random, what is the probability of selecting a poor girl out of total strength.
14)There are 3 groups A,B,C
2 members belong to all the three
3 members belong to A&B
3 members belong to B&C
3 members belong to C& A
minimum possible number of members in any three.
16)There are 5 men and 11 women. How many ways can a panel of 11 be formed such that the number of men is not more than 3.
17)Y-W-U-S-Q is coded as 25-23-21-19-17
what is S-F-A-Y-T coded as.
18) After 6 years Raju's fathers age will twice of the Raju's age 2 years ago.His mothers age was twice that of Raju's age. Sum of the age of their parents.
19) Initial price =40,000. It reduces 3/4 of previous years price every year what is the price after 3 years.
20)60 men work take 40 days to complete a work. Now suppose that is 60 men start working and every 5 days 5 people leave.In how many days will the work be complete.
21)Then there was a series completion question.
7^0,7^1 , 7^1+7^0,7^2 something like this but i was not able to solve it. I tried to ask my friends for the exact questions but wasn't able to get it, anyways some series question with include finding the missing values will come
22)There was a triangle questions. There was a diagram of a triangle with multiple symmetric triangle inside And they asked us how to many triangles there were in total
23)Three groups :: x1,x2,x3
A,b common to all three. Then atleast 1 elemnt common to 2 ie x1,x2,x2,x3,x3,x1.
Findminimum elements in each group. Answer is 4.
26)Exact sudoku type question i don't remember the value it was a 3x3 matrix and u have to find value missing values in it.
27)3 dice are rolled. Then what is the probability u will get the sum of number as 10.
Ans :27/216
28) When all words in "master" is sorted in alphabetical order then what is the 49th word.
29)Some seating arrangement question. Like X sits opposites Y and B sits 2 seats left of A type questions. You are asked to find the person sitting 4 seats right of X.
30) 3 trucks A,B,C
A loads 10 kg/min
B loads 13 1/3 kg/min
C unloads 5kg/min
If three simultaneously works then what is the time taken to load 2.4 tonnes
PAPER 4
1.Which of the following numbers must be added to 5678 to give a remainder of 35 when divided by 460?
a) 980 b) 797 c) 955 d) 618
Solution:
797,
If you need of remainder 35, while dividing a number by 460. The Unit place of that number must be 5. So 5678+797= 6475
2. Raj writes a number of two digits exceeds four times the sum of its digits by 3. If the number increased by 18, the result is the same as the number formed by reversing the digits. Find the number?
a) 35
b) 42
c) 49
d) 57
Solution:
Equation we got from the question is
10X+Y =4(X+Y) +3 ==> 2X-Y=1
10X+Y+18 = 10Y+X ==>x-y=-2
Solving above two equations we get, X = 3 and Y = 5.
So the number is 35.
3. 28a + 30b + 31c = 365 .Find a, b, c and a + b + c?
a) 1, 4, 7
b) 7, 2, 3
c) 1, 5, 5
d) 8, 7, 6
Solution:
It’s like sum of the number of days in a leap year.
“a” represents the number of months having 28 days
“b” represents the number of months having 30 days
“c” represents the number of months having 31 days
So
a =1 (February),
b=4(April, June, September, November)
c=7(January, March, May, July, August, October, December)
4. How many motor vehicles registration number plates can be formed with the digits 1, 2, 3, 4, and 5(no digits being repeated) if it is given that registration number can have 1 to 5 digits?
a) 205
b) 100
c) 325
d) 105
Solution:
For one digit: 5 = 5 chances
For two digit: 5*4 = 20 chances
For three digit: 5*4*3 = 60 chances
For four digit: 5*4*3*2 = 120 chances
For five digit: 5*4*3*2*1 = 120 chances
Total chances = 5+20+60+120+120=325 chances
5. A city in the U S has a basketball league with three basketball teams, the Arêtes, the Braves and the Deities. A sports writer notices that the tallest player of the Arêtes is Shortest than the shortest player of the Braves. The shortest of the Deities is shortest of the Arêtes, while the tallest of the braves is taller than the tallest of the Arêtes. Which of the following can be judged with certainty?
X) Paul, a brave is taller than David, an Arêtes.
Y) David, a Deities, is shorter than Edward, an Arêtes.
a) X only
b) Both X and Y
c) Neither X and Y
d) Y only
6. A rectangle of height 100 squares and width 200 squares. Squares is drawn on a graph paper. It is colored square by square from top left corner and moving across in a spiral turning right. Whenever a side of this rectangle or a colored square is reached. Which square is colored last (give its row and column numbers). The bottom right square is on row 100, column 200?
a) 51,150
b) 51, 50
c) 50, 150
d) 50, 50
Solution:
1,1 ==> ==> ==> ==> ==> ==> ==>
==> ==> ==> ==> ==> ==> ==> ||
|| 3,2 <== <== <== <== <== ||
<== <== <== <== <== <== <== <==
For (4, 8) rectangle, ends at (3, 2)
Likewise,
For (2, 4) rectangle, ends at (2, 1)
For (3, 6) rectangle, ends at (2, 5)
For (4, 8) rectangle, ends at (3, 2)
For (5, 10) rectangle, ends at (3, 8)
For (6, 12) rectangle, ends at (4, 3)
For (7, 14) rectangle, ends at (4, 11)
For (8, 16) rectangle, ends at (5, 4)
For (9, 18) rectangle, ends at (5, 14)
For (10, 20) rectangle, ends at (6, 5)
Analyzing the above 10 points:
We can get some idea that,
For Even number of rows, End points column increases 1 by previous column.
For Odd number of rows, End points column difference of the present column and the previous even number column.
For End point row, the value repeats two times from row 2.
In our problem, (100, 200) i.e.
Even number row,
So End point column value must be 50 for 200 columns and End point row value must be 51 for 100 rows.
For even number of rows and columns,
Condition: Column =2*Row
Endpoint (R, C) = {((Row/2) +1), Column/4}
Answer is (51, 50)
7. George and Mark can paint 720 boxes in 20 days. Mark and Harry in 24 days and Harry and George in 15 days. George works for 4 days, Mark for 8 days and Harry for 8 days. The total number of boxes painted by them is
a) 252
b) 516
c) 348
d) 492
Solution:
One day work:
G+M = (1/20)*720 = 36 boxes;
M+H= (1/24)*720 = 30 boxes;
H+G = (1/15)*720 = 48 boxes.
Together:
2(G+M+H) = 36+30+48 = 114
(G+30) = 114 /2=57 boxes
G= 27 boxes.
G‘s one day work is 27 boxes. So G’s four days work is 108 boxes
M+H‘s one day work is 30 boxes. So M+H‘s eight days work is 240 boxes.
So Total number of boxes painted = 108+240 = 348 boxes painted.
8. Masha drives along the perimeter of the square field of side 10kms. She drive along the first side at 10 kmph along the second side at 20 kmph, along the third side at 30 kmph and along the fourth side at 40 kmph. Her average speed is?
a) 19.2 kmph
b) 18 kmph
c) 20 kmph
d) 30 kmph
Solution:
Total Average Speed = Total Distance / Total time = 40 / (1+0.5+0.33+0.25) = 19.2kmph
9. A merchant buys 20 kg of wheat of Rs.30 per kg and40 kg wheat at Rs.25 per kg. He mixed them and sells one third of the mixture at Rs.26 per kg. The price at which the merchant should sell the remaining mixture, So that he may earn a profit of 25 % in his whole outlay is
a) Rs.30
b) Rs.360
c) Rs.40
d) Rs.37
Solution:
Cost price =20*30 + 40*25 = Rs.1600
Profit = 25 % of (1600) = Rs.400
Selling price = Rs.2000
One third of mixture is (1/3)*60 = 20 kg
Remaining mixture is 40 kg
2000 = 26*20 + 40*X;
X = Rs.37
10) The mean of three number is 10 more than the least of these number and 15 less than the greatest of the Three. If the median of the three number is 5, then sum of the three is
a) 30
b) 20
c) 5
d) 25
Solution:
Let X is the greatest value, Y be the Middle value and Z is the least value.
(X+Y+Z)/3 = 10+Z = X-15;
If Y=5, X=25, Z=0. So the sum of the three number is 30.
PAPER 5
a) 980 b) 797 c) 955 d) 618
Solution:
797,
If you need of remainder 35, while dividing a number by 460. The Unit place of that number must be 5. So 5678+797= 6475
2. Raj writes a number of two digits exceeds four times the sum of its digits by 3. If the number increased by 18, the result is the same as the number formed by reversing the digits. Find the number?
a) 35
b) 42
c) 49
d) 57
Solution:
Equation we got from the question is
10X+Y =4(X+Y) +3 ==> 2X-Y=1
10X+Y+18 = 10Y+X ==>x-y=-2
Solving above two equations we get, X = 3 and Y = 5.
So the number is 35.
3. 28a + 30b + 31c = 365 .Find a, b, c and a + b + c?
a) 1, 4, 7
b) 7, 2, 3
c) 1, 5, 5
d) 8, 7, 6
Solution:
It’s like sum of the number of days in a leap year.
“a” represents the number of months having 28 days
“b” represents the number of months having 30 days
“c” represents the number of months having 31 days
So
a =1 (February),
b=4(April, June, September, November)
c=7(January, March, May, July, August, October, December)
4. How many motor vehicles registration number plates can be formed with the digits 1, 2, 3, 4, and 5(no digits being repeated) if it is given that registration number can have 1 to 5 digits?
a) 205
b) 100
c) 325
d) 105
Solution:
For one digit: 5 = 5 chances
For two digit: 5*4 = 20 chances
For three digit: 5*4*3 = 60 chances
For four digit: 5*4*3*2 = 120 chances
For five digit: 5*4*3*2*1 = 120 chances
Total chances = 5+20+60+120+120=325 chances
5. A city in the U S has a basketball league with three basketball teams, the Arêtes, the Braves and the Deities. A sports writer notices that the tallest player of the Arêtes is Shortest than the shortest player of the Braves. The shortest of the Deities is shortest of the Arêtes, while the tallest of the braves is taller than the tallest of the Arêtes. Which of the following can be judged with certainty?
X) Paul, a brave is taller than David, an Arêtes.
Y) David, a Deities, is shorter than Edward, an Arêtes.
a) X only
b) Both X and Y
c) Neither X and Y
d) Y only
6. A rectangle of height 100 squares and width 200 squares. Squares is drawn on a graph paper. It is colored square by square from top left corner and moving across in a spiral turning right. Whenever a side of this rectangle or a colored square is reached. Which square is colored last (give its row and column numbers). The bottom right square is on row 100, column 200?
a) 51,150
b) 51, 50
c) 50, 150
d) 50, 50
Solution:
1,1 ==> ==> ==> ==> ==> ==> ==>
==> ==> ==> ==> ==> ==> ==> ||
|| 3,2 <== <== <== <== <== ||
<== <== <== <== <== <== <== <==
For (4, 8) rectangle, ends at (3, 2)
Likewise,
For (2, 4) rectangle, ends at (2, 1)
For (3, 6) rectangle, ends at (2, 5)
For (4, 8) rectangle, ends at (3, 2)
For (5, 10) rectangle, ends at (3, 8)
For (6, 12) rectangle, ends at (4, 3)
For (7, 14) rectangle, ends at (4, 11)
For (8, 16) rectangle, ends at (5, 4)
For (9, 18) rectangle, ends at (5, 14)
For (10, 20) rectangle, ends at (6, 5)
Analyzing the above 10 points:
We can get some idea that,
For Even number of rows, End points column increases 1 by previous column.
For Odd number of rows, End points column difference of the present column and the previous even number column.
For End point row, the value repeats two times from row 2.
In our problem, (100, 200) i.e.
Even number row,
So End point column value must be 50 for 200 columns and End point row value must be 51 for 100 rows.
For even number of rows and columns,
Condition: Column =2*Row
Endpoint (R, C) = {((Row/2) +1), Column/4}
Answer is (51, 50)
7. George and Mark can paint 720 boxes in 20 days. Mark and Harry in 24 days and Harry and George in 15 days. George works for 4 days, Mark for 8 days and Harry for 8 days. The total number of boxes painted by them is
a) 252
b) 516
c) 348
d) 492
Solution:
One day work:
G+M = (1/20)*720 = 36 boxes;
M+H= (1/24)*720 = 30 boxes;
H+G = (1/15)*720 = 48 boxes.
Together:
2(G+M+H) = 36+30+48 = 114
(G+30) = 114 /2=57 boxes
G= 27 boxes.
G‘s one day work is 27 boxes. So G’s four days work is 108 boxes
M+H‘s one day work is 30 boxes. So M+H‘s eight days work is 240 boxes.
So Total number of boxes painted = 108+240 = 348 boxes painted.
8. Masha drives along the perimeter of the square field of side 10kms. She drive along the first side at 10 kmph along the second side at 20 kmph, along the third side at 30 kmph and along the fourth side at 40 kmph. Her average speed is?
a) 19.2 kmph
b) 18 kmph
c) 20 kmph
d) 30 kmph
Solution:
Total Average Speed = Total Distance / Total time = 40 / (1+0.5+0.33+0.25) = 19.2kmph
9. A merchant buys 20 kg of wheat of Rs.30 per kg and40 kg wheat at Rs.25 per kg. He mixed them and sells one third of the mixture at Rs.26 per kg. The price at which the merchant should sell the remaining mixture, So that he may earn a profit of 25 % in his whole outlay is
a) Rs.30
b) Rs.360
c) Rs.40
d) Rs.37
Solution:
Cost price =20*30 + 40*25 = Rs.1600
Profit = 25 % of (1600) = Rs.400
Selling price = Rs.2000
One third of mixture is (1/3)*60 = 20 kg
Remaining mixture is 40 kg
2000 = 26*20 + 40*X;
X = Rs.37
10) The mean of three number is 10 more than the least of these number and 15 less than the greatest of the Three. If the median of the three number is 5, then sum of the three is
a) 30
b) 20
c) 5
d) 25
Solution:
Let X is the greatest value, Y be the Middle value and Z is the least value.
(X+Y+Z)/3 = 10+Z = X-15;
If Y=5, X=25, Z=0. So the sum of the three number is 30.
PAPER 5
1. Jain housing complex has a democratically elected governing council comprising of the president, secretary and the treasurer. During their annual meeting,they take up 3 different initiatives for discussion and voting, namely, painting of exteriors, 24 hour security, and additional water tank. They vote as below
• Each member of the council votes for at least one of the initiatives and against at least of the initiatives
• Exactly two members of the council votes for the painting initiatives
• Exactly one member of the council vote for the security initiatives
• Exactly one member of the council vote for the water tank initiatives
• The president votes for the painting initiative and votes against security initiative
• Security votes against painting initiative
• Treasurer votes against water tank initiative
Which one of the following statement could be true?
A. President and Secretary vote the same way on the water tank initiative
B. Secretary and Treasurer vote the same way on the painting initiative
C. Secretary and Treasurer vote the same way on the Security initiative
D. President votes for one of the initiatives and Secretary votes for two of the initiatives
1.A
2.C
3.B
4.D
1.If X^Y denotes X raised to the power of Y, find out last two digits of (2957^3661)+(3081^3643)
1.42
2.38
3.98
4.22
2.In Loonyville, four people called Doctor, Engineer, Lawyer and Architect follow the professions of doctor, engineer and architect. However, none of them follow the profession indicated by their name.
The architect has no pets. The engineer is very public spirited, but has won no recognition or awards. Lawyer is a cricket fan. Engineer plays golf regularly with Lawyer every Saturday, unless it rains.
Doctor is an only child. The mayor gave Architect an award for public service. The Lawyer’s sister loves cooking. Engineer has a dog. The architect’s only sporting interest is football. What is the name of the Lawyer?
1.Architect
2.Doctor
3.Engineer
4.Cannot be determined
3. In an year N, the 320th day of the year is Thursday. In the year N+1 the 206th day of the year is also Thursday. What is the 168th day of In the year N-1?
1.Friday
2.Thursday
3.Tuesday
4.Saturday
4. Anand, Babu, Charlie, Dhanush, and Eesha recently found out that all of their birthdays were on the same day, Though they were born in different years ,On their birthday, they were chatting about their ages
- Dhanush said to Babu “I am nine years older than Eesha”
- Eesha said to Babu “I am seven years older than Anand”
- Babu said to Charlie “Eesha is younger than you”
- Anand Said to Babu “ Your age is exactly 70% greater than my age”
- Charlie said to Dhanush “The difference between our ages is six years”
- Charlie said to Anand “I am ten years older than you”
- Charlie said to Anand “Babu is younger than Dhanush”
- Babu said to Charlie “The difference between your age and Dhanush’s is the same as the difference between Dhanush’s and Eesha’s” They were not telling the truth, When each one of them spoke to someone older, everything they said was true,But, when speaking to someone younger, everything they said was false. How old was Eesha?
1.30
2.37
3.55
4.51
5. George, Paul and Hari start a business by contributing Rs. 30000/-, Rs. 40000/- and Rs. 50000/- respectively. After ½ a year George withdraws half his contribution. At the end of the year the
business showed a profit of Rs 90000 which was divided amongst the 3 men proportionate the to amount and duration of their investment in the enterprise. Paul got,
1.Rs 25000/-
2.Rs 18000/-
3.Rs 32000/-
4.Rs 24000/-
6.A bag contains six sticks of the following lengths 1 cm, 3 cm, 7 cm, 11 cm and 13 cm. three sticks are drawn at random from the bag. What is the probability that we can form a triangle with those sticks?
1.11/20
2.1
3.1/4
4.2/5
7. In Loonyville, four people called Doctor, Engineer, Lawyer and Architect follow the professions of doctor, lawyer, engineer and architect. However, none of them follow the profession indicated by their name. Doctor plays bridge very regularly, as he thinks it as an intellectual card game. Doctor is allergic to sea food, and does not eat it at all. Architect nearly died in a car accident two years ago. The architect is very poor at card games and does not play them at all. The engineer loves fish and has it twice a week. The engineer is a good driver, and has never been involved in a car accident. Engineer does not like the Lawyer’s habit of constantly interrupting others.What is the profession of Engineer?
1.a lawyer
2.an architect
3.a doctor
4.Cannot be determined
8. 12 divides, ab313ab (in decimal notation, where a,b are digits>0, the smallest value of a+b is
1.7
2.6
3.2
4.4
9. [[Some part of question missing, indicated with ----]] Raj invested in Indigo, HUL and SBI shares at Rs. 300, Rs. 200 and Rs. 5 per share, ——— 100 shares for Rs.10000. The number of Indigo and HUL shares he bought are respectively
1.15, 25
2.23, 17
3.17, 23
4.17, 60
10. The figure below shows a “size 3” equilateral triangle divided into 9 “size 1” equilateral triangles. The figure has 6 upward facing and 3 downward facing “size 1” equilateral triangles, 3upward facing and no downward facing “size 2” triangles and 1 upward facing “size 3” triangle. It has a total of 13 equilateral
triangles of all sizes
1.13
2.14
3.36
4.16
11. A drinks machine offers three solutions – Tea, Coffee or Random but the machine has been wired up wrongly so that each button does not give what it claims. If each drink costs Rs. 50, what is the minimum amount of money that must be spent to determine with certainty the correct labeling of the buttons?
1.Rs. 100
2.Can not be determined from the given information
3.Rs 150
4.Rs 50
12. For any two numbers we define an operation $ yielding another number, X $ Y such that following condition holds:
• X $ X = 0 for all X
• X $ (Y $ Z) = X $ Y + Z
Find the Value of 2012 $ 0 + 2012 $ 1912
Options
1.2112
2.100
3.5936
4.Can not be determined
13. When numbers are written in base b, we have 12 x 25 = 333. The value of b is
a. None of the choices
b. 7
c. 8
d. 6
14. People are sitting in theater watching a movie. The row they are in contains several seats. After intermission, they all return to the same row but choose their seats randomly. What is the probability that neither of the two people sitting in the two seats were previously sitting in an aisle seat?
a. 1
b. 0
c. 17/21
d. 13/21
15. There is a staircase with 10 steps. A child runs up the steps, either 1 or 2 steps with each stride. How many different ways can the steps be climbed by her?
a. None of the choices
b. 45
c. 89
d. 10
16. A cine multiplex MNOX has 3 screens. Cinema1, Cinema2, Cinema3. The multiplex prints 3 sets of tickets for September and three sets of tickets for October. One set for each its cinema for two
months. The company tickets are printed in a consistent manner with the following conditions.
1. Each of the six sets of tickets is exactly one of the following colors: Green, blue, red and white
2. For each cinema, the September tickets are different in color than the October tickets.
3. For each month, tickets for different cinemas are in different colors.
4. Exactly one set of September is red.
5. For cinema 3, either the September tickets or the October tickets , but not both are green.
6. The September tickets for cinema 2 are blue.
7. No October tickets are blue.
If the cinema 3 tickets for September are red, then which one of the following statements must be true?
a. The cinema 1 tickets for September are green.
b. The cinema 1 tickets for October are red.
c. The cinema 1 tickets for September are white.
d. The cinema 3 tickets for October are green.
17. Box of fruits can be loaded into a truck in 9 minutes by a worker. And 8 boxes will fill a truck completely. How many trucks can be loaded in 1 ½ hours if there are 16 men together.
a. 1
b. 2
c. 3
d. 0
18. The figure below shows a “size 3” equilateral triangle divided up into 9 “size 1” equilateral triangles. The figure has 6 upward facing and 3 downward facing “size 1” equilateral triangles, 3 upward facing and no downward facing “size2” equilateral triangles and 1 upward facing “size 3” triangle. It has a total of 13 equilateral triangles of all sizes.The following size 6 triangle is divided up in the same way. What is the
number of triangles that has the marked point on a side or vertex.
a. 36
b. 13
c. 14
d. 16
19. Each of A,B and C need a certain unique time to do certain work. C needs 1 hour less than A to complete the work. Working together they require 30 minutes to complete 50% of the work. The work also gets completed if A and B start working together and A leaves after 1 hour and B works further 3 hours. How much work does C do per hour?
a. 16.66%
b. 66.66%
c. 50%
d. 33.33%
20. X ^ Y denotes X raised to power Y, find the last two digits (2361 ^ 4507) + (1741 ^ 3581)
a. 02
b. 82
c. 42
d. 62
21. There is a set of 9 numbers that relate to each other in a certain way. Find the way the first set of boxes works. The numbers in the second set work in exactly the same way. Find the missing value in the second set.
12 25
17 4 272
22 19 1672
a. 1482
b. 1090
c. 1200
d. 374
22. A sequence x1 , x2 and x3 …is said to be in a harmonic progression if the reciprocals 1/x1,1/x2
and 1/x3 are in arithmetic progression. The 5th term and the 7th term for an harmonic progression are 30 and 50 respectively. What is the difference between the 6th and 4th term.
a. 16
b. 14.5
c. 13.4
d. 12.5.
PAPER 6
Tcs written exam :: 10-12th September , GUWAHATI
1. Find X^y+y^x=46. Find X and Y values?
2. 3 white chips, 7 blue chips, 16 green chips, 2 chips drawn from the box in succession what is the probability that one is blue and other is white?
a) 7/50 b) 8/30 c) 7/25 d) 20/26
3. If a person has to work 8 continuous day & he gets a rest on the 9th day. If a person starts on Monday. What is the day of 12th rest day?
4. How many liters of a 90% of concentrated acid needs to be mixed with a 75% solution of concentrated acid to get a 30 liter solution of 78% concentrated acid?
a) 8 b)9 c) 7 d)6
5. 3 cars A, B & C are in the race. A is twice as likely to win as B and B is thrice as likely to win as C. what is probability that B will win, if only one can win the race ?
a) ½ b) 2/5 c) 3/10 d) 1/10
6. A cow & Horse brought for Rs.2000. The cow is sold at a profit of 20% and the Horse is sold at a loss of 10%. Of The overall gain is Rs.40. The cost price of the cow is :
a) 700 b) 800 c) 1200 d) 1300
7. The sum of 3 consecutive numbers of the four numbers A, B, C, D are 4613,4961,5010,5099 then what is the largest number among A,B,C,D ?
a) 1948 b) 1463 c) 1601 d) 1550
8. George printing press can print an edition of newspapers in 12 hours while Paul’s press can print the same edition in 18 hours. What is the total no. of hours the press working together but independent of one another to print the same edition?
a) 15 b) 17.4 c) 7 d) 7.2
9. 87th number in the series 2, 10, 26, 50…….
10. 70, 54, 45, 41……. What is the next number in the given series?
13. In the simple subtraction problem Below , sum single digits (not necessarily distinct) are replace by letters , find the value of 7*A + 7*B +6*C*D
A 7 C 2
- 4 B 6 8
--------------
5 4 3 D
a) 77 b) 95 c) 84 d) 70
14. How many polynomial functions f of degree >=1 satisfy f(X2) = (f(X)) 2 =f (f(X)).
a) 1 b) 0 c) 2 d) more than 2
15. What is the remainder when 50! (50 factorial ) is divided by 16 ^ 15 (1615)
Answer is: 1
16. 1,5,6 ,25, 26,30,31, 125,126,130,131,150,151,155,156,…………………
What is the value of 30th term in the given series?
a) 781 b) 3125 c) 776 d) 780
17. The climb from foot to top of a hill 800 meters, Jack can climb at 16 meters per minute and rests for two minutes or 20meters per 2 minutes and rest for one minute. Paul can climb at 10 meters per one minute and rest for one minute or
16 meters per minute and rest for 2 minutes. If take has to reach the top in exactly two hours. What is the maximum number of rests that he can take?
a) 41 b) 42 c) 40 d) 43
18. If the 20th term of an AP=560 and 30th term of AP=840 then what is the sum of 5th term and 40th term of the series.
a) 1450 b) 1560 c) 1260 d) 1340
19. Raj tossed 3 dices and there results are noted down then what is the probability that raj gets 10?
a) 1/72 b) 1/9 c) 25/216 d)1/8
20. The diagonal of a square is twice the side of equilateral triangle the ratio of Area of the Triangle to the Area of Square is?
a) √3:8 b) √2:5 c) √3:6 d) √2:4
21. Apple costs L rupees per kilogram for first 30kgs and Q rupees per kilogram for each additional kilogram. If the price of 33 kilograms is 11.67and for 36kgs of Apples is 12.48 then the cost of first 10 kegs of Apples is
a) 3.50 b) 10.53 c) 1.17 d)2.8
22. 1,2,2,3,3,3,4,4,4,4,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,…………………………………..
Then what is the 2532 position of the number in the sequence?
a) 2 b) 1c) 3 d) 4
23.
1,2,2,3,3,3,4,4,4,4,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,…………………………………..
Then what is the 2320 position of the number in the sequence?
b) 2 b) 1c) 3 d) 4
24. How many 7’s are there between 0 to 400?
25. The letters in the word ABUSER are permuted in all possible ways and arranged in alphabetical order then find the word at position 49 in the permuted alphabetical order?
a) ARBSEU
b) ARBESU
c) ARBSUE
d) ARBEUS
26. The letters in the word TALION are permuted in all possible ways and arranged in alphabetical order then find the word at position 33 in the permuted alphabetical order?
27. The letters in the word SHOVEL are permuted in all possible ways and arranged in alphabetical order then find the word at position 31 in the permuted alphabetical order?
28. 15 students join a summer course. Every day 3 students are on duty after school to clean the class rooms. After the course, it was found that every pair of students has been on duty exactly once. How many days does the course last for?
a) 35 b) 45 c) 105 d)none of these
29. Consider all permutations (i.e., arrangements) of digits 1, 2&3. We will say that a hit has been scored if at least one digit occurs in its proper position in the permutation. If 1 (one) occurs in the first position or 2 in the second position or 3(three) in the 3rd position in how many ways of these permutations is a hit scored?
a) 4 b) 1 c) 2 d) 3
30. If the word MONOS is permuted then the probability that O’s never come together?
31. Next number in the given series 1, 7, 8, 49, 50, 56, 57, 343,
PAPER 7
1. There are three communities A,B & C. 2 members belong to all communities. 3 members belong to A & B. 3 members belong to B & C. 3 members belong to C & A. What is the minimum possible number of members in any of the 3 communities?The answer is 5. Draw Venn diagrams for this problem and you’ll easily get the answer.
2. There are 5 men and 11 women. How many ways can a panel of 16 be formed such that the number of men is not more than 3?The answer is 2256.(Use combinations – 11c11+5c1*11c10+5c2*11c9+5c3*11c8)
3. FGHIJKLMN are 8 people. They need to be divided into2 groups. They’ll give you some 5 conditions and they’ll ask you how can one of those groups be paired? You have to make sure all the conditions satisfy both the groups and select an answer.
4. I don’t remember them. This is a time and work problem. X does a job alone in 5 days, y does a job alone in 8 days. When x, y and z work together they complete the job in 3 days. How many days does z take to complete the job alone.
5. If sum of the values along the topmost row, bottom most row, left most column, and right most column is all equal to k, find the value of k. They’ll give you the values of a,b,c,d,e and f. They’ll give you a 4x4 table.You have to substitute the values of a,b,c,d,e and f in such a way that the sum equals to k and you find k. Sudoku logic.
6. What is the largest four digit numb that is added to (some number around 7500) which will be exactly divisible by 9,12,13,54?There where 4options like 9000,9565,6050,8000(None of them were divisible by 54 when the options were added up with that number)So thought it was dummy
7. There was two problem on rolling of 3dice and what is the probability if the sum of outcome is 13,10
8. Some scenario was given saying that In a street in Tokyo the house are build according to the following condition. 1st house is always older than second house soo second house should be larger than 1st house..No two houses of same sizein that street..soo find which is the new house will some Data sufiency
9. A tree is cut and falls on the road the width of the road will be given ..so What will be the length of the tree if it fall exactly on the road..something like that.Height of the tree-width of the road was the answer
10. If the given sheet is folded to form a cube, which side will be opposite to X? The answer is C. Just look at it 3 dimensionally. So, when you fold it A goes to the right of X. B goes on top and C will be opposite to X.
11. What will be the time when A and B walks parallely if A is old and so walks slow and B is young and walks faster A starts at 10.00 am,B starts at 10.15am and some conditions for reaching office if A starts 1st What tym will B walk parallel to him options where 10.20,10.30,11.00,11.05..data was not sufficient
12. A starts riding his bike at 10 am, speed 20 kmph, B starts at 10 am, speed 40 kmph. A turns south at 12 o clock and B turns north at 11 am. They both meet at 2 pm. What’s the distance between A and B?The answer is 160 km.(Couldn’t figure out)
13. Some pattern of triangles will be given and they’ll give no of sticks you have..how many triangles can you form with those sticks
14. Some four statements and who is lying among them should be found. simple one with those conditions
15. Permutation problem on finding the 25th word if the word RANKED is arranged in dictionary order
This was all that I could remember. Some big Scenario s , Data sufficiency problems were quite complex and very time consuming so just skipped..There were 5 questions of that type
PAPER 8
Question 1:
George can do a work in 60 days. George and Paul can do the same work in 20 days.How much time will Paul take to complete the same work if works alone?
Answer: 30days
Question 2:
Two people A and B starts running at 10:00 AM towards north at a speed of 40Kmph and 60Kmph respectively. After 2 hours(12:00 noon ), A turned left and B turned right. They stopped at 2:00 PM.Find the distance between A and B at 2:00 PM.
Answer:3200
Question 3:
You are given 87 matchsticks. They are arranged in rectangular manner.Find the number of triangles formed?
Answer: 43
Question 4:
Three unbiased dice are thrown. Find the probability of getting sum 10.
Answer: 1/8
Question 5:
If ab3133ab is divisible by 12.What is the minimum value of (a+b)?
a) 4 b)6 c)7 d)2
Answer: c) 7
Question 6:
Five people Pradeep,Qutub,Raj,Sandy and Tej are in a row. Raj sits to the immediate right of Tej. If Pradeep and Qutub have only two persons sitting between them, which of following must be true?
1. Pradeep is at one extreme end of row.
2. Qutub is sitting beside Pradeep.
3. Tej or Raj must be at one extreme end of the row.
4. Sandy must be at one of ends of the row.
Answer:
4)Sandy must be at one of ends of the row.
Question 7:
Five rivers Ya-Fen,Volga,Yamuna,Hudson and Siene flow through the five cities v-z. New York,Paris,Moscow,Tokyo and Delhi,but not necessarily in same order.No two rivers flow in the same city and no two cities have same river flowing through them.Vogla flows through neither Moscow nor Delhi.Ya-Fen is neither in New York nor in Paris. Yamuna is neither in Delhi nor in Moscow.Hudson is in Moscow while new York has Yamuna flowing through it. Which of following is definitely FALSE?
1. If Volga flows through Tokyo,then Ya-Fen flows through Delhi.
2. If Tokyo has Volga,then Siene must flow through Delhi.
3. If Ya-Fen flows through Tokyo, then Siene must flow through Delhi.
4. Ya-Fen may flow through Tokyo or Delhi.
Answer:
2) If Tokyo has Volga,then Siene must flow through Delhi.
Question 8:
Given the word “Parrot”. Find the 20th word in dictionary order.
PAPER 9
1)there has one sharing problem…what is share of paul………..Ans.32000
2)one cylinder problem which one is very tough..
3)there are 60%male and 70% female are allowed for vote. 70% of male voter and 60% of female voter give vote to a particular person .what percentage of vote for him.
Ans:total male x and total female y.
For male-X*(60/100)*(70/100)=0.42x
For female y*(70/100)*(60/100)=0.42y
(0.42x+0.42y)/(x+y)=0.42
4)there has another sum …whose ans will be (height of the tree-width of the road)
5)probability of getting sum of 10 by throwing 3 dice.
Ans:-27/216=1/8
5)you have (0,4,0)amount of money.after buying chocolate now you have (0,1,10)amount in your purse.
What is the cost of chocolate?amount of money is the dividend when it is divided by the (3,5,11) shows this remainder values.
Initial amount-99 coz if it is divided by (3,5,11) it will give (0,4,0).after getting this value
4ndz check the options.subtract all the options 4m 99.whatever value you will get divide this by (3,5,11).and check is it (0,1,10) .
I found my option 78.(99-78)=21when it is divided by (3,5,11) it will give (0,1,11).
6)in how many ways 6 different colored chocolate can be put into 10 different jars.
Ans:10^6
7)if a^x=b,b^y=c,c^z=a ..then what is the value of x*y*z?
Ans: x=logb/loga,y=logc/logb,z=loga/logc
Then X*Y*Z=1.
8)cow and horse wala sum..Ans:8000
9)logical reasng sum-in party,19:41 time is given,all peoples should come within 19:41 to 19:48..each people take 1 min.
Someone before someone.there are 4 option .which of the following is not true..
U have check the timing and decide how many peoples hv already come before him.
In my qu 1st option was the ans.some one come at 19:44.means before him 3 people already come .but according to qu 4 people cum.so this is wrong.
10)another logical;easha told-I couldn’t finish 4th round,……,gawri told:I hv finished 4th round…
Ans:gawri
11)2ab5,ab is multiples of 13 and this value perfectly divisible by 25.Ans:52 .check the options which are multiples of 13then put and check.
12)i had one cylinder,bee srt of qutns which was tough.
13)A and B can do a whole work in 5 days .if A increase his speed 2 times and B decrease his speed by half of the values the they can complete the task in 4 days.so,in how many A can complete the whole task?
14)make account no of 14 digits..sum of the all 3 consecutive nos shoulb be 18.what is the value of X?
__,__,__,7,__,__,__,X,__,__,__,8 lyk dis
15)if the perimeter of an equilateral triangle is equal to the perimeter of regular hexagon.then what is ratio of the area of equilateral triangle to the area of hexagon?
PAPER 10
1. the wages of 24 men and 16 women amounts to rs 11600 per day. if half of the men and 37 women earn same money. the daily wages paid to each men is?
•
2 2.If ab3133ab is divisible by 12.What is the minimum value of (a+b)?
•
3.How many 6 digits nos can be formed with the digits 1,2,3,4,5,6,7 with no repetition n with an even no always in the 2nd last position?
•
4.45 matches .Each team plays with other only one match.(no repeatation) find number of teams?
•
5. at different times during the day Dhruva gets emails in his yahoo account. When he has time, Dhruva goes to his inbox and reads the most recent unread mail. If there are 5 emails in all and they are delivered to Dhruva in the order 1 2 3 4 5, which of the following could not be the order in which Dhruva reads them?
•
6.A and B travelled from P and Q .A speed is given as 40k/hr B speed is given 50k/hr and they meet at certain distance.B travelled 120 km more .find the distance between them?
•
8 7.Ahmed,babu,chitra,david and eesha each choose a large different number. Ahmed says,"My number is not the largest and not the smallest. "Babu says,"My number is not the largest and not the smallest ."Chitra says,"My number is the largest."David says,"My number is the smallest."Eesha says,"My number is the not the smallest
a.Eesha
b.David
c.Chitra
d.Babu
•
8 8. a tree of height 36 m is on edge of the road, because of the wind a part of tree fall and touches the other side of the road..the road is 12 m wide then what will be the height of the broken part?
•
9 9. The sum of three consecutive numbers of 4 numbers A,B,C and D are 4613,4961,5010 and 5099, then what is the largest number among A,B,C,D?
1 10.A rectangle of height 100 squares and width 200 squares. Squares is drawn on a graph paper. It is colored square by square from top left corner and moving across in a spiral turning right. Whenever a side of this rectangle or a colored square is reached. Which square is colored last (give its row and column numbers). The bottom right square is on row 100, column 200?
a) 51,150
b) 51, 50
c) 50, 150
d) 50, 50
• 11.city in the U S has a basketball league with three basketball teams, the Arêtes, the Braves and the Deities. A sports writer notices that the tallest player of the Arêtes is Shortest than the shortest player of the Braves. The shortest of the Deities is shortest of the Arêtes, while the tallest of the braves is taller than the tallest of the Arêtes. Which of the following can be judged with certainty?
X) Paul, a brave is taller than David, an Arêtes.
Y) David, a Deities, is shorter than Edward, an Arêtes.
a) X only
b) Both X and Y
c) Neither X and Y
d) Y only
12. 4 couples are there and in how many ways they can cross the river ans is 16
• there are 4 couples came to honeymoon and they all have to cross a river, theres only one boat, and the wives are jealous that they dont like there husbands travellng with other women, husbands are possesive that they dont like their wives travelling with other man. the number of minimum possible ways so that they will cross the river is? (boat wil carry only two at once)
a) 16
b) 17
c) 18
d) 19
•
13. Ram wants to visit 5 places like c, b, m, d, k. he will visit atleast 3 places in one trip and c will be visited in every trip. If visiting different places is considered as different trips then how many ways can he go trips.
•
14.Sum of three consecutive no of 4 no.A,B,C,D are 4613 ,4961,5010,5099. what is the largest no among ABCD ??
•
15.there was a problem on cow and horse..( ans 80000)
•
16.x tells lies on monday,tueday wed..y on thursday friday sat..(ans was thrusday)
•
17.there was a sudoku puzzle.9*9 grid.. some values were only given..and u were asked to find the value of 10x+y.
•
18.when m+n is divided by 12 we get reminder 8.when m-n is divided by 12 we get reminder 6.if m>n then what will be the reminder when mn is divided by 12
•
1 19.tailon 46th word
•
20.A team won 80% of its matches total played. It played 5 matches more of which it won 3 and lost 2. The losing percentage changed to 25%. How many matches it played totally?
1)14
2)16
3)20
4)35
•
21.Eesha lies on mondays, tuesdays, wednesdays. Usha lies on thursday, friday, saturday.
Eesha said: i lied yesterday
Usha said: i lied yesterday
What is today?
•
22. Some thing like this.if A+B works for 30 days together.then A works for twice the speed and B works half the speed.then in how many days A complete the work independently.
PAPER 11
KGEC 2013 question-
1. 1-2+3-4.....-98+99=.........
2.There are five friends. A,B,C,D,E.. A says" Only one of us is lying" B says "Exactly two of us are lying" C says"exactly three of us are lying" D says "Exactly four of us are lying.. E says"Exactly five of us are lying".. who is telling the truth??
Verbal part- you have to write an email to Joan. Inform him that a project has been delayed. Sign the email as Margaret.
Key words:
Project delayed-project leader-cholera-3 weeks-let me-if you need clarification-delay-sorry(etc)
one of employee in project left abruptly...write a mail to ur boss that u need his help
1. Jake is faster than Paul. Jake and Paul each walk 24 km. The sum of their speeds is 7 km/h and the sum of time taken by them is 14 hours. Then Jake’s speed is equal to :
(a) 7 kmph (b) 3 kmph (c) 5 kmph (d) 4 kmph
2. A & B starts from their house at 10 am at 20 kmph and 40 kmph respectively. There is a T junction on their path A turned left at 12 noon from T junction .B reaches earlier and turned right. Distance between A and B?
3. Find no of ways in which 4 particular persons a,b,c,d and 6 more persons can stand in a queue so that A always stand before B. B always stand before C, And C always stand before D.
4. 27th rank of MOTHER in dictionary.
5. The length and breadth of a field is 300x400ft, if there are 3 ants on average per square inch of field, find the number of ants in field.
6. The fourteen digits of a credit card are to be written in the boxes shown below. If the
7 X 8Sum of every three consecutive digits is 18, then the value of X is: [Star marks question]
6. On a 26-question test, five points were deducted for each wrong answer and eight points were added for each correct answer. If all the questions were answered, how many were correct if the score was zero?
7. Mother, daughter and infant total weight is 74 kg. Mother’s weight is 46 kg more than daughter and infant’s weight. Infant’s weight is 60% less than daughter’s weight. Find daughter’s weight.
8. George and Mark can paint 720 boxes in 20 days. Mark and Harry in 24 days and Harry and George in 15 days. George works for 4 days, Mark for 8 days and Harry for 8 days. The total number of boxes painted by them is –
9. How many 6-digit even numbers can be formed from the digits 1,2,3,4,5,6 and 7 so that digits should not repeat and the second last digit is even?
10. A lies on mon, tues, wed and speak truths on other days, B lies on Thurs, Fri, Sat and speaks truths on other days. One day a said I lied yesterday and B said I too lied yesterday. What is the day?
12. A mother has 3 babies – Usha, Nisha and Eesha. If Usha is sleeping, Eesha is drinking milk. If Nisha is not sleeping, Eesha is not drinking. It never happens that both Usha and Nisha are sleeping. Father concludes that Usha never sleeps. Mother concludes that Nisha never sleeps. Nurse concludes that Eesha always drinks. Who has made a correct deduction? [DCRU]
A. Only Father and Mother
b. 14.5
c. 13.4
d. 12.5.
PAPER 6
Tcs written exam :: 10-12th September , GUWAHATI
1. Find X^y+y^x=46. Find X and Y values?
2. 3 white chips, 7 blue chips, 16 green chips, 2 chips drawn from the box in succession what is the probability that one is blue and other is white?
a) 7/50 b) 8/30 c) 7/25 d) 20/26
3. If a person has to work 8 continuous day & he gets a rest on the 9th day. If a person starts on Monday. What is the day of 12th rest day?
4. How many liters of a 90% of concentrated acid needs to be mixed with a 75% solution of concentrated acid to get a 30 liter solution of 78% concentrated acid?
a) 8 b)9 c) 7 d)6
5. 3 cars A, B & C are in the race. A is twice as likely to win as B and B is thrice as likely to win as C. what is probability that B will win, if only one can win the race ?
a) ½ b) 2/5 c) 3/10 d) 1/10
6. A cow & Horse brought for Rs.2000. The cow is sold at a profit of 20% and the Horse is sold at a loss of 10%. Of The overall gain is Rs.40. The cost price of the cow is :
a) 700 b) 800 c) 1200 d) 1300
7. The sum of 3 consecutive numbers of the four numbers A, B, C, D are 4613,4961,5010,5099 then what is the largest number among A,B,C,D ?
a) 1948 b) 1463 c) 1601 d) 1550
8. George printing press can print an edition of newspapers in 12 hours while Paul’s press can print the same edition in 18 hours. What is the total no. of hours the press working together but independent of one another to print the same edition?
a) 15 b) 17.4 c) 7 d) 7.2
9. 87th number in the series 2, 10, 26, 50…….
10. 70, 54, 45, 41……. What is the next number in the given series?
13. In the simple subtraction problem Below , sum single digits (not necessarily distinct) are replace by letters , find the value of 7*A + 7*B +6*C*D
A 7 C 2
- 4 B 6 8
--------------
5 4 3 D
a) 77 b) 95 c) 84 d) 70
14. How many polynomial functions f of degree >=1 satisfy f(X2) = (f(X)) 2 =f (f(X)).
a) 1 b) 0 c) 2 d) more than 2
15. What is the remainder when 50! (50 factorial ) is divided by 16 ^ 15 (1615)
Answer is: 1
16. 1,5,6 ,25, 26,30,31, 125,126,130,131,150,151,155,156,…………………
What is the value of 30th term in the given series?
a) 781 b) 3125 c) 776 d) 780
17. The climb from foot to top of a hill 800 meters, Jack can climb at 16 meters per minute and rests for two minutes or 20meters per 2 minutes and rest for one minute. Paul can climb at 10 meters per one minute and rest for one minute or
16 meters per minute and rest for 2 minutes. If take has to reach the top in exactly two hours. What is the maximum number of rests that he can take?
a) 41 b) 42 c) 40 d) 43
18. If the 20th term of an AP=560 and 30th term of AP=840 then what is the sum of 5th term and 40th term of the series.
a) 1450 b) 1560 c) 1260 d) 1340
19. Raj tossed 3 dices and there results are noted down then what is the probability that raj gets 10?
a) 1/72 b) 1/9 c) 25/216 d)1/8
20. The diagonal of a square is twice the side of equilateral triangle the ratio of Area of the Triangle to the Area of Square is?
a) √3:8 b) √2:5 c) √3:6 d) √2:4
21. Apple costs L rupees per kilogram for first 30kgs and Q rupees per kilogram for each additional kilogram. If the price of 33 kilograms is 11.67and for 36kgs of Apples is 12.48 then the cost of first 10 kegs of Apples is
a) 3.50 b) 10.53 c) 1.17 d)2.8
22. 1,2,2,3,3,3,4,4,4,4,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,…………………………………..
Then what is the 2532 position of the number in the sequence?
a) 2 b) 1c) 3 d) 4
23.
1,2,2,3,3,3,4,4,4,4,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,…………………………………..
Then what is the 2320 position of the number in the sequence?
b) 2 b) 1c) 3 d) 4
24. How many 7’s are there between 0 to 400?
25. The letters in the word ABUSER are permuted in all possible ways and arranged in alphabetical order then find the word at position 49 in the permuted alphabetical order?
a) ARBSEU
b) ARBESU
c) ARBSUE
d) ARBEUS
26. The letters in the word TALION are permuted in all possible ways and arranged in alphabetical order then find the word at position 33 in the permuted alphabetical order?
27. The letters in the word SHOVEL are permuted in all possible ways and arranged in alphabetical order then find the word at position 31 in the permuted alphabetical order?
28. 15 students join a summer course. Every day 3 students are on duty after school to clean the class rooms. After the course, it was found that every pair of students has been on duty exactly once. How many days does the course last for?
a) 35 b) 45 c) 105 d)none of these
29. Consider all permutations (i.e., arrangements) of digits 1, 2&3. We will say that a hit has been scored if at least one digit occurs in its proper position in the permutation. If 1 (one) occurs in the first position or 2 in the second position or 3(three) in the 3rd position in how many ways of these permutations is a hit scored?
a) 4 b) 1 c) 2 d) 3
30. If the word MONOS is permuted then the probability that O’s never come together?
31. Next number in the given series 1, 7, 8, 49, 50, 56, 57, 343,
PAPER 7
1. There are three communities A,B & C. 2 members belong to all communities. 3 members belong to A & B. 3 members belong to B & C. 3 members belong to C & A. What is the minimum possible number of members in any of the 3 communities?The answer is 5. Draw Venn diagrams for this problem and you’ll easily get the answer.
2. There are 5 men and 11 women. How many ways can a panel of 16 be formed such that the number of men is not more than 3?The answer is 2256.(Use combinations – 11c11+5c1*11c10+5c2*11c9+5c3*11c8)
3. FGHIJKLMN are 8 people. They need to be divided into2 groups. They’ll give you some 5 conditions and they’ll ask you how can one of those groups be paired? You have to make sure all the conditions satisfy both the groups and select an answer.
4. I don’t remember them. This is a time and work problem. X does a job alone in 5 days, y does a job alone in 8 days. When x, y and z work together they complete the job in 3 days. How many days does z take to complete the job alone.
5. If sum of the values along the topmost row, bottom most row, left most column, and right most column is all equal to k, find the value of k. They’ll give you the values of a,b,c,d,e and f. They’ll give you a 4x4 table.You have to substitute the values of a,b,c,d,e and f in such a way that the sum equals to k and you find k. Sudoku logic.
6. What is the largest four digit numb that is added to (some number around 7500) which will be exactly divisible by 9,12,13,54?There where 4options like 9000,9565,6050,8000(None of them were divisible by 54 when the options were added up with that number)So thought it was dummy
7. There was two problem on rolling of 3dice and what is the probability if the sum of outcome is 13,10
8. Some scenario was given saying that In a street in Tokyo the house are build according to the following condition. 1st house is always older than second house soo second house should be larger than 1st house..No two houses of same sizein that street..soo find which is the new house will some Data sufiency
9. A tree is cut and falls on the road the width of the road will be given ..so What will be the length of the tree if it fall exactly on the road..something like that.Height of the tree-width of the road was the answer
10. If the given sheet is folded to form a cube, which side will be opposite to X? The answer is C. Just look at it 3 dimensionally. So, when you fold it A goes to the right of X. B goes on top and C will be opposite to X.
11. What will be the time when A and B walks parallely if A is old and so walks slow and B is young and walks faster A starts at 10.00 am,B starts at 10.15am and some conditions for reaching office if A starts 1st What tym will B walk parallel to him options where 10.20,10.30,11.00,11.05..data was not sufficient
12. A starts riding his bike at 10 am, speed 20 kmph, B starts at 10 am, speed 40 kmph. A turns south at 12 o clock and B turns north at 11 am. They both meet at 2 pm. What’s the distance between A and B?The answer is 160 km.(Couldn’t figure out)
13. Some pattern of triangles will be given and they’ll give no of sticks you have..how many triangles can you form with those sticks
14. Some four statements and who is lying among them should be found. simple one with those conditions
15. Permutation problem on finding the 25th word if the word RANKED is arranged in dictionary order
This was all that I could remember. Some big Scenario s , Data sufficiency problems were quite complex and very time consuming so just skipped..There were 5 questions of that type
PAPER 8
Question 1:
George can do a work in 60 days. George and Paul can do the same work in 20 days.How much time will Paul take to complete the same work if works alone?
Answer: 30days
Question 2:
Two people A and B starts running at 10:00 AM towards north at a speed of 40Kmph and 60Kmph respectively. After 2 hours(12:00 noon ), A turned left and B turned right. They stopped at 2:00 PM.Find the distance between A and B at 2:00 PM.
Answer:3200
Question 3:
You are given 87 matchsticks. They are arranged in rectangular manner.Find the number of triangles formed?
Answer: 43
Question 4:
Three unbiased dice are thrown. Find the probability of getting sum 10.
Answer: 1/8
Question 5:
If ab3133ab is divisible by 12.What is the minimum value of (a+b)?
a) 4 b)6 c)7 d)2
Answer: c) 7
Question 6:
Five people Pradeep,Qutub,Raj,Sandy and Tej are in a row. Raj sits to the immediate right of Tej. If Pradeep and Qutub have only two persons sitting between them, which of following must be true?
1. Pradeep is at one extreme end of row.
2. Qutub is sitting beside Pradeep.
3. Tej or Raj must be at one extreme end of the row.
4. Sandy must be at one of ends of the row.
Answer:
4)Sandy must be at one of ends of the row.
Question 7:
Five rivers Ya-Fen,Volga,Yamuna,Hudson and Siene flow through the five cities v-z. New York,Paris,Moscow,Tokyo and Delhi,but not necessarily in same order.No two rivers flow in the same city and no two cities have same river flowing through them.Vogla flows through neither Moscow nor Delhi.Ya-Fen is neither in New York nor in Paris. Yamuna is neither in Delhi nor in Moscow.Hudson is in Moscow while new York has Yamuna flowing through it. Which of following is definitely FALSE?
1. If Volga flows through Tokyo,then Ya-Fen flows through Delhi.
2. If Tokyo has Volga,then Siene must flow through Delhi.
3. If Ya-Fen flows through Tokyo, then Siene must flow through Delhi.
4. Ya-Fen may flow through Tokyo or Delhi.
Answer:
2) If Tokyo has Volga,then Siene must flow through Delhi.
Question 8:
Given the word “Parrot”. Find the 20th word in dictionary order.
PAPER 9
1)there has one sharing problem…what is share of paul………..Ans.32000
2)one cylinder problem which one is very tough..
3)there are 60%male and 70% female are allowed for vote. 70% of male voter and 60% of female voter give vote to a particular person .what percentage of vote for him.
Ans:total male x and total female y.
For male-X*(60/100)*(70/100)=0.42x
For female y*(70/100)*(60/100)=0.42y
(0.42x+0.42y)/(x+y)=0.42
4)there has another sum …whose ans will be (height of the tree-width of the road)
5)probability of getting sum of 10 by throwing 3 dice.
Ans:-27/216=1/8
5)you have (0,4,0)amount of money.after buying chocolate now you have (0,1,10)amount in your purse.
What is the cost of chocolate?amount of money is the dividend when it is divided by the (3,5,11) shows this remainder values.
Initial amount-99 coz if it is divided by (3,5,11) it will give (0,4,0).after getting this value
4ndz check the options.subtract all the options 4m 99.whatever value you will get divide this by (3,5,11).and check is it (0,1,10) .
I found my option 78.(99-78)=21when it is divided by (3,5,11) it will give (0,1,11).
6)in how many ways 6 different colored chocolate can be put into 10 different jars.
Ans:10^6
7)if a^x=b,b^y=c,c^z=a ..then what is the value of x*y*z?
Ans: x=logb/loga,y=logc/logb,z=loga/logc
Then X*Y*Z=1.
8)cow and horse wala sum..Ans:8000
9)logical reasng sum-in party,19:41 time is given,all peoples should come within 19:41 to 19:48..each people take 1 min.
Someone before someone.there are 4 option .which of the following is not true..
U have check the timing and decide how many peoples hv already come before him.
In my qu 1st option was the ans.some one come at 19:44.means before him 3 people already come .but according to qu 4 people cum.so this is wrong.
10)another logical;easha told-I couldn’t finish 4th round,……,gawri told:I hv finished 4th round…
Ans:gawri
11)2ab5,ab is multiples of 13 and this value perfectly divisible by 25.Ans:52 .check the options which are multiples of 13then put and check.
12)i had one cylinder,bee srt of qutns which was tough.
13)A and B can do a whole work in 5 days .if A increase his speed 2 times and B decrease his speed by half of the values the they can complete the task in 4 days.so,in how many A can complete the whole task?
14)make account no of 14 digits..sum of the all 3 consecutive nos shoulb be 18.what is the value of X?
__,__,__,7,__,__,__,X,__,__,__,8 lyk dis
15)if the perimeter of an equilateral triangle is equal to the perimeter of regular hexagon.then what is ratio of the area of equilateral triangle to the area of hexagon?
PAPER 10
1. the wages of 24 men and 16 women amounts to rs 11600 per day. if half of the men and 37 women earn same money. the daily wages paid to each men is?
•
2 2.If ab3133ab is divisible by 12.What is the minimum value of (a+b)?
•
3.How many 6 digits nos can be formed with the digits 1,2,3,4,5,6,7 with no repetition n with an even no always in the 2nd last position?
•
4.45 matches .Each team plays with other only one match.(no repeatation) find number of teams?
•
5. at different times during the day Dhruva gets emails in his yahoo account. When he has time, Dhruva goes to his inbox and reads the most recent unread mail. If there are 5 emails in all and they are delivered to Dhruva in the order 1 2 3 4 5, which of the following could not be the order in which Dhruva reads them?
•
6.A and B travelled from P and Q .A speed is given as 40k/hr B speed is given 50k/hr and they meet at certain distance.B travelled 120 km more .find the distance between them?
•
8 7.Ahmed,babu,chitra,david and eesha each choose a large different number. Ahmed says,"My number is not the largest and not the smallest. "Babu says,"My number is not the largest and not the smallest ."Chitra says,"My number is the largest."David says,"My number is the smallest."Eesha says,"My number is the not the smallest
a.Eesha
b.David
c.Chitra
d.Babu
•
8 8. a tree of height 36 m is on edge of the road, because of the wind a part of tree fall and touches the other side of the road..the road is 12 m wide then what will be the height of the broken part?
•
9 9. The sum of three consecutive numbers of 4 numbers A,B,C and D are 4613,4961,5010 and 5099, then what is the largest number among A,B,C,D?
1 10.A rectangle of height 100 squares and width 200 squares. Squares is drawn on a graph paper. It is colored square by square from top left corner and moving across in a spiral turning right. Whenever a side of this rectangle or a colored square is reached. Which square is colored last (give its row and column numbers). The bottom right square is on row 100, column 200?
a) 51,150
b) 51, 50
c) 50, 150
d) 50, 50
• 11.city in the U S has a basketball league with three basketball teams, the Arêtes, the Braves and the Deities. A sports writer notices that the tallest player of the Arêtes is Shortest than the shortest player of the Braves. The shortest of the Deities is shortest of the Arêtes, while the tallest of the braves is taller than the tallest of the Arêtes. Which of the following can be judged with certainty?
X) Paul, a brave is taller than David, an Arêtes.
Y) David, a Deities, is shorter than Edward, an Arêtes.
a) X only
b) Both X and Y
c) Neither X and Y
d) Y only
12. 4 couples are there and in how many ways they can cross the river ans is 16
• there are 4 couples came to honeymoon and they all have to cross a river, theres only one boat, and the wives are jealous that they dont like there husbands travellng with other women, husbands are possesive that they dont like their wives travelling with other man. the number of minimum possible ways so that they will cross the river is? (boat wil carry only two at once)
a) 16
b) 17
c) 18
d) 19
•
13. Ram wants to visit 5 places like c, b, m, d, k. he will visit atleast 3 places in one trip and c will be visited in every trip. If visiting different places is considered as different trips then how many ways can he go trips.
•
14.Sum of three consecutive no of 4 no.A,B,C,D are 4613 ,4961,5010,5099. what is the largest no among ABCD ??
•
15.there was a problem on cow and horse..( ans 80000)
•
16.x tells lies on monday,tueday wed..y on thursday friday sat..(ans was thrusday)
•
17.there was a sudoku puzzle.9*9 grid.. some values were only given..and u were asked to find the value of 10x+y.
•
18.when m+n is divided by 12 we get reminder 8.when m-n is divided by 12 we get reminder 6.if m>n then what will be the reminder when mn is divided by 12
•
1 19.tailon 46th word
•
20.A team won 80% of its matches total played. It played 5 matches more of which it won 3 and lost 2. The losing percentage changed to 25%. How many matches it played totally?
1)14
2)16
3)20
4)35
•
21.Eesha lies on mondays, tuesdays, wednesdays. Usha lies on thursday, friday, saturday.
Eesha said: i lied yesterday
Usha said: i lied yesterday
What is today?
•
22. Some thing like this.if A+B works for 30 days together.then A works for twice the speed and B works half the speed.then in how many days A complete the work independently.
PAPER 11
KGEC 2013 question-
1. 1-2+3-4.....-98+99=.........
2.There are five friends. A,B,C,D,E.. A says" Only one of us is lying" B says "Exactly two of us are lying" C says"exactly three of us are lying" D says "Exactly four of us are lying.. E says"Exactly five of us are lying".. who is telling the truth??
Verbal part- you have to write an email to Joan. Inform him that a project has been delayed. Sign the email as Margaret.
Key words:
Project delayed-project leader-cholera-3 weeks-let me-if you need clarification-delay-sorry(etc)
one of employee in project left abruptly...write a mail to ur boss that u need his help
1. Jake is faster than Paul. Jake and Paul each walk 24 km. The sum of their speeds is 7 km/h and the sum of time taken by them is 14 hours. Then Jake’s speed is equal to :
(a) 7 kmph (b) 3 kmph (c) 5 kmph (d) 4 kmph
2. A & B starts from their house at 10 am at 20 kmph and 40 kmph respectively. There is a T junction on their path A turned left at 12 noon from T junction .B reaches earlier and turned right. Distance between A and B?
3. Find no of ways in which 4 particular persons a,b,c,d and 6 more persons can stand in a queue so that A always stand before B. B always stand before C, And C always stand before D.
4. 27th rank of MOTHER in dictionary.
5. The length and breadth of a field is 300x400ft, if there are 3 ants on average per square inch of field, find the number of ants in field.
6. The fourteen digits of a credit card are to be written in the boxes shown below. If the
7 X 8Sum of every three consecutive digits is 18, then the value of X is: [Star marks question]
6. On a 26-question test, five points were deducted for each wrong answer and eight points were added for each correct answer. If all the questions were answered, how many were correct if the score was zero?
7. Mother, daughter and infant total weight is 74 kg. Mother’s weight is 46 kg more than daughter and infant’s weight. Infant’s weight is 60% less than daughter’s weight. Find daughter’s weight.
8. George and Mark can paint 720 boxes in 20 days. Mark and Harry in 24 days and Harry and George in 15 days. George works for 4 days, Mark for 8 days and Harry for 8 days. The total number of boxes painted by them is –
9. How many 6-digit even numbers can be formed from the digits 1,2,3,4,5,6 and 7 so that digits should not repeat and the second last digit is even?
10. A lies on mon, tues, wed and speak truths on other days, B lies on Thurs, Fri, Sat and speaks truths on other days. One day a said I lied yesterday and B said I too lied yesterday. What is the day?
12. A mother has 3 babies – Usha, Nisha and Eesha. If Usha is sleeping, Eesha is drinking milk. If Nisha is not sleeping, Eesha is not drinking. It never happens that both Usha and Nisha are sleeping. Father concludes that Usha never sleeps. Mother concludes that Nisha never sleeps. Nurse concludes that Eesha always drinks. Who has made a correct deduction? [DCRU]
A. Only Father and Mother
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