Aptitude Paper with Solution (MBA Pattern) for Competitive Examinations Notes | EduRev

: Aptitude Paper with Solution (MBA Pattern) for Competitive Examinations Notes | EduRev

 Page 1


The written test consists of two sections each of 45 minutes duration. Section#1 
This is the aptitude section consisting of 45 questions to be attempted in 45 
minutes.As is in all the exams,this section is based on the MBA pattern of 
examination. Section#2 This is the technical section.There is a seperate paper 
for hardware and software.Candidates have to mention beforehand whether 
they want to write the software or the hardware paper. This section also carries 45 
questions to be completed in 45 minutes.  
SET A  
1. At 6'o a clock ticks 6 times. The time between first and last ticks is 30 seconds. 
How long does it tick at 12'o clock.  
Ans: 66 sec. (2 marks)  
2. Three friends divided some bullets equally. After all of them shot 4 bullets the 
total number of bullets remaining is equal to the bullets each had after division. 
Find the original number divided.  
Ans: 18 (2 marks)  
Initially . x x x Now x-4 x-4 x-4 Equation is 3x-12 = x  
3. A ship went on a voyage. After it had travelled 180 miles a plane statrted with 
10 times the speed of the ship. Find the distance when they meet from starting 
point.  
Ans: 200miles. (2 marks) Distance travelled by plane = 1/10 distance travelled by 
ship + 180  
4. Complete the Table given below: Three football teams are there. Given below is 
the group table. Fill in  
Playe
d 
Won Lost Draw 
Goals 
For 
Goals 
Again
st 
A 2  2  x  x  x  1  
B 2  x  x  1  2  4  
C 2  x  x  x  3  7  
 
  
Page 2


The written test consists of two sections each of 45 minutes duration. Section#1 
This is the aptitude section consisting of 45 questions to be attempted in 45 
minutes.As is in all the exams,this section is based on the MBA pattern of 
examination. Section#2 This is the technical section.There is a seperate paper 
for hardware and software.Candidates have to mention beforehand whether 
they want to write the software or the hardware paper. This section also carries 45 
questions to be completed in 45 minutes.  
SET A  
1. At 6'o a clock ticks 6 times. The time between first and last ticks is 30 seconds. 
How long does it tick at 12'o clock.  
Ans: 66 sec. (2 marks)  
2. Three friends divided some bullets equally. After all of them shot 4 bullets the 
total number of bullets remaining is equal to the bullets each had after division. 
Find the original number divided.  
Ans: 18 (2 marks)  
Initially . x x x Now x-4 x-4 x-4 Equation is 3x-12 = x  
3. A ship went on a voyage. After it had travelled 180 miles a plane statrted with 
10 times the speed of the ship. Find the distance when they meet from starting 
point.  
Ans: 200miles. (2 marks) Distance travelled by plane = 1/10 distance travelled by 
ship + 180  
4. Complete the Table given below: Three football teams are there. Given below is 
the group table. Fill in  
Playe
d 
Won Lost Draw 
Goals 
For 
Goals 
Again
st 
A 2  2  x  x  x  1  
B 2  x  x  1  2  4  
C 2  x  x  x  3  7  
 
  
Ans: 
The 
filled 
table 
is 
given 
below 
(4 
marks
) 
Playe
d 
Won Lost Draw 
Goals 
For 
Goals 
Again
st 
A 2  2  0  0  7  1  
B 2  0  1  1  2  4  
C 2  0  1  1  3  7  
 
5. There are 3 societies A, B, C. A lent cars to B and C as many as they had 
already. After some time B gave as many tractors to A and C as many as they have. 
After sometime c did the same thing. At the end of this transaction each one of 
them had 24. Find the cars each orginally had.  
Ans: A had 39 cars, B had 21 cars & C had 12 cars (4 marks)  
6. There N stations on a railroad. After adding X stations on the rail route 46 
additional tickets have to be printed. Find N and X.  
Ans. x=2 and N=11  
Let initially, N(N-1) = t After adding, (N+X)(N+X-1) = t+46 By trail and error 
method (4 marks) 7. Given that April 1 is tuesday. A, B, C are 3 persons told that 
their farewell party was on  
• A - May 8, thursday  
• B - May 10,tuesday  
• C - June 5, friday  
 
Out of A, B, C only one made a completetly true statement concerning date,day 
and month The other told two one told the day right and the other the date right.. 
What is correct date, month, day.  
Ans: B - (May 10) SUNDAY C - June 6 (Friday). (5 marks)  
Page 3


The written test consists of two sections each of 45 minutes duration. Section#1 
This is the aptitude section consisting of 45 questions to be attempted in 45 
minutes.As is in all the exams,this section is based on the MBA pattern of 
examination. Section#2 This is the technical section.There is a seperate paper 
for hardware and software.Candidates have to mention beforehand whether 
they want to write the software or the hardware paper. This section also carries 45 
questions to be completed in 45 minutes.  
SET A  
1. At 6'o a clock ticks 6 times. The time between first and last ticks is 30 seconds. 
How long does it tick at 12'o clock.  
Ans: 66 sec. (2 marks)  
2. Three friends divided some bullets equally. After all of them shot 4 bullets the 
total number of bullets remaining is equal to the bullets each had after division. 
Find the original number divided.  
Ans: 18 (2 marks)  
Initially . x x x Now x-4 x-4 x-4 Equation is 3x-12 = x  
3. A ship went on a voyage. After it had travelled 180 miles a plane statrted with 
10 times the speed of the ship. Find the distance when they meet from starting 
point.  
Ans: 200miles. (2 marks) Distance travelled by plane = 1/10 distance travelled by 
ship + 180  
4. Complete the Table given below: Three football teams are there. Given below is 
the group table. Fill in  
Playe
d 
Won Lost Draw 
Goals 
For 
Goals 
Again
st 
A 2  2  x  x  x  1  
B 2  x  x  1  2  4  
C 2  x  x  x  3  7  
 
  
Ans: 
The 
filled 
table 
is 
given 
below 
(4 
marks
) 
Playe
d 
Won Lost Draw 
Goals 
For 
Goals 
Again
st 
A 2  2  0  0  7  1  
B 2  0  1  1  2  4  
C 2  0  1  1  3  7  
 
5. There are 3 societies A, B, C. A lent cars to B and C as many as they had 
already. After some time B gave as many tractors to A and C as many as they have. 
After sometime c did the same thing. At the end of this transaction each one of 
them had 24. Find the cars each orginally had.  
Ans: A had 39 cars, B had 21 cars & C had 12 cars (4 marks)  
6. There N stations on a railroad. After adding X stations on the rail route 46 
additional tickets have to be printed. Find N and X.  
Ans. x=2 and N=11  
Let initially, N(N-1) = t After adding, (N+X)(N+X-1) = t+46 By trail and error 
method (4 marks) 7. Given that April 1 is tuesday. A, B, C are 3 persons told that 
their farewell party was on  
• A - May 8, thursday  
• B - May 10,tuesday  
• C - June 5, friday  
 
Out of A, B, C only one made a completetly true statement concerning date,day 
and month The other told two one told the day right and the other the date right.. 
What is correct date, month, day.  
Ans: B - (May 10) SUNDAY C - June 6 (Friday). (5 marks)  
8. The Bulls, Pacers, Lakers and Jazz ran for a contest. Anup, Sujit, John made the 
following statements regarding results.  
• Anup said either Bulls or Jazz will definitely win  
• Sujit said he is confident that Bulls will not win  
• John said he is confident that neither Jazz nor Lakers will win  
 
When the result cameit was found that only one of the above three had made a 
correct statement. Who has made the correct statement and who has won the 
contest.  
Ans: Sujith; Lakers (5marks )  
9. Five people A ,B ,C ,D ,E are related to each other. Four of them make one true 
statement each as follows.  
(i) B is my father's brother. (ii) E is my mother-in-law. (iii)C is my son-in-law's 
brother (iv)A is my brother's wife.  
Ans: (i) D (ii) B  
(iii) E (iv) C (10 marks)  
10. Some statements are given below:  
• L says all of my other four friends have money  
• M says that P said that exactly one among them has money  
• N says that L said that precisely two among them have money  
• O says that M said that three of the others have money  
• P, L and N said that they have money  
 
All the above statement are false.. Who has money & who doesn't have any 
money?  
(5 marks)  
SET B  
1. Mr.Mathurs jewels have been 
stolen from his bank locker . 
The bank has lockers of 12 
people which are arranged in an 
array of 3 rows and 4 columns 
like: 1 
2 3 4 
Page 4


The written test consists of two sections each of 45 minutes duration. Section#1 
This is the aptitude section consisting of 45 questions to be attempted in 45 
minutes.As is in all the exams,this section is based on the MBA pattern of 
examination. Section#2 This is the technical section.There is a seperate paper 
for hardware and software.Candidates have to mention beforehand whether 
they want to write the software or the hardware paper. This section also carries 45 
questions to be completed in 45 minutes.  
SET A  
1. At 6'o a clock ticks 6 times. The time between first and last ticks is 30 seconds. 
How long does it tick at 12'o clock.  
Ans: 66 sec. (2 marks)  
2. Three friends divided some bullets equally. After all of them shot 4 bullets the 
total number of bullets remaining is equal to the bullets each had after division. 
Find the original number divided.  
Ans: 18 (2 marks)  
Initially . x x x Now x-4 x-4 x-4 Equation is 3x-12 = x  
3. A ship went on a voyage. After it had travelled 180 miles a plane statrted with 
10 times the speed of the ship. Find the distance when they meet from starting 
point.  
Ans: 200miles. (2 marks) Distance travelled by plane = 1/10 distance travelled by 
ship + 180  
4. Complete the Table given below: Three football teams are there. Given below is 
the group table. Fill in  
Playe
d 
Won Lost Draw 
Goals 
For 
Goals 
Again
st 
A 2  2  x  x  x  1  
B 2  x  x  1  2  4  
C 2  x  x  x  3  7  
 
  
Ans: 
The 
filled 
table 
is 
given 
below 
(4 
marks
) 
Playe
d 
Won Lost Draw 
Goals 
For 
Goals 
Again
st 
A 2  2  0  0  7  1  
B 2  0  1  1  2  4  
C 2  0  1  1  3  7  
 
5. There are 3 societies A, B, C. A lent cars to B and C as many as they had 
already. After some time B gave as many tractors to A and C as many as they have. 
After sometime c did the same thing. At the end of this transaction each one of 
them had 24. Find the cars each orginally had.  
Ans: A had 39 cars, B had 21 cars & C had 12 cars (4 marks)  
6. There N stations on a railroad. After adding X stations on the rail route 46 
additional tickets have to be printed. Find N and X.  
Ans. x=2 and N=11  
Let initially, N(N-1) = t After adding, (N+X)(N+X-1) = t+46 By trail and error 
method (4 marks) 7. Given that April 1 is tuesday. A, B, C are 3 persons told that 
their farewell party was on  
• A - May 8, thursday  
• B - May 10,tuesday  
• C - June 5, friday  
 
Out of A, B, C only one made a completetly true statement concerning date,day 
and month The other told two one told the day right and the other the date right.. 
What is correct date, month, day.  
Ans: B - (May 10) SUNDAY C - June 6 (Friday). (5 marks)  
8. The Bulls, Pacers, Lakers and Jazz ran for a contest. Anup, Sujit, John made the 
following statements regarding results.  
• Anup said either Bulls or Jazz will definitely win  
• Sujit said he is confident that Bulls will not win  
• John said he is confident that neither Jazz nor Lakers will win  
 
When the result cameit was found that only one of the above three had made a 
correct statement. Who has made the correct statement and who has won the 
contest.  
Ans: Sujith; Lakers (5marks )  
9. Five people A ,B ,C ,D ,E are related to each other. Four of them make one true 
statement each as follows.  
(i) B is my father's brother. (ii) E is my mother-in-law. (iii)C is my son-in-law's 
brother (iv)A is my brother's wife.  
Ans: (i) D (ii) B  
(iii) E (iv) C (10 marks)  
10. Some statements are given below:  
• L says all of my other four friends have money  
• M says that P said that exactly one among them has money  
• N says that L said that precisely two among them have money  
• O says that M said that three of the others have money  
• P, L and N said that they have money  
 
All the above statement are false.. Who has money & who doesn't have any 
money?  
(5 marks)  
SET B  
1. Mr.Mathurs jewels have been 
stolen from his bank locker . 
The bank has lockers of 12 
people which are arranged in an 
array of 3 rows and 4 columns 
like: 1 
2 3 4 
5 6 7 8 
9 
1
0 
1
1 
1
2 
 
Which box belonged to Mr.Mathurs?  
Ans: Box number 9 belongs to Mr.Mathurs.  
2. Fifty minutes ago if it was four times as many minutes past three o'clock,how 
many minutes is it to six o'clock?  
Ans: Twenty six minutes.  
3. If a clock takes 7seconds to strike 7, how long will the same clock take to strike 
10?  
Ans: The clock strikes for the first time at the start and takes 7 seconds for 6 
intervals-thus for one interval time taken=7/6. Therefore, for 10 seconds there are 9 
intervals and time taken is 9*7/6=10 and 1/2 seconds.  
4. Three criminals were arrested for shop lifting. However, when interrogated only 
one told the truth in both his statements, while the other two each told one true 
statement and one lie. The statements were:  
• ALBERT :(a)Chander passed the merchandise. (b)Bruce created the diversion.  
• BRUCE :(a)Albert passed the merchandise. (b)I created the diversion.  
• CLIVE :(a)I took the goods out of the shop. (b)Bruce passed them over.  
 
Ans: Albert passed the goods.Bruce created the diversion..Clive took the goods out 
of the shop.  
5. Everyday in his business a merchant had to weigh amounts from 1 kg to 121 
kgs, to the nearest kg.  
 
What are the minimum number of weight required and how heavy should they be?  
Ans: .The minimum number is 5 and they should weigh 1,3,9,27 and 81 kgs.  
6. A hotel has 10 storeys.Which floor is above the floor below the floor, below the 
floor above the floor, below the floor above the fifth.  
Ans: The sixth floor.  
7. Seven members sat around a table for three days for a conference. The member's 
names were Abhishek, Amol, Ankur, Anurag,Bhuwan ,Vasu and Vikram. The 
Page 5


The written test consists of two sections each of 45 minutes duration. Section#1 
This is the aptitude section consisting of 45 questions to be attempted in 45 
minutes.As is in all the exams,this section is based on the MBA pattern of 
examination. Section#2 This is the technical section.There is a seperate paper 
for hardware and software.Candidates have to mention beforehand whether 
they want to write the software or the hardware paper. This section also carries 45 
questions to be completed in 45 minutes.  
SET A  
1. At 6'o a clock ticks 6 times. The time between first and last ticks is 30 seconds. 
How long does it tick at 12'o clock.  
Ans: 66 sec. (2 marks)  
2. Three friends divided some bullets equally. After all of them shot 4 bullets the 
total number of bullets remaining is equal to the bullets each had after division. 
Find the original number divided.  
Ans: 18 (2 marks)  
Initially . x x x Now x-4 x-4 x-4 Equation is 3x-12 = x  
3. A ship went on a voyage. After it had travelled 180 miles a plane statrted with 
10 times the speed of the ship. Find the distance when they meet from starting 
point.  
Ans: 200miles. (2 marks) Distance travelled by plane = 1/10 distance travelled by 
ship + 180  
4. Complete the Table given below: Three football teams are there. Given below is 
the group table. Fill in  
Playe
d 
Won Lost Draw 
Goals 
For 
Goals 
Again
st 
A 2  2  x  x  x  1  
B 2  x  x  1  2  4  
C 2  x  x  x  3  7  
 
  
Ans: 
The 
filled 
table 
is 
given 
below 
(4 
marks
) 
Playe
d 
Won Lost Draw 
Goals 
For 
Goals 
Again
st 
A 2  2  0  0  7  1  
B 2  0  1  1  2  4  
C 2  0  1  1  3  7  
 
5. There are 3 societies A, B, C. A lent cars to B and C as many as they had 
already. After some time B gave as many tractors to A and C as many as they have. 
After sometime c did the same thing. At the end of this transaction each one of 
them had 24. Find the cars each orginally had.  
Ans: A had 39 cars, B had 21 cars & C had 12 cars (4 marks)  
6. There N stations on a railroad. After adding X stations on the rail route 46 
additional tickets have to be printed. Find N and X.  
Ans. x=2 and N=11  
Let initially, N(N-1) = t After adding, (N+X)(N+X-1) = t+46 By trail and error 
method (4 marks) 7. Given that April 1 is tuesday. A, B, C are 3 persons told that 
their farewell party was on  
• A - May 8, thursday  
• B - May 10,tuesday  
• C - June 5, friday  
 
Out of A, B, C only one made a completetly true statement concerning date,day 
and month The other told two one told the day right and the other the date right.. 
What is correct date, month, day.  
Ans: B - (May 10) SUNDAY C - June 6 (Friday). (5 marks)  
8. The Bulls, Pacers, Lakers and Jazz ran for a contest. Anup, Sujit, John made the 
following statements regarding results.  
• Anup said either Bulls or Jazz will definitely win  
• Sujit said he is confident that Bulls will not win  
• John said he is confident that neither Jazz nor Lakers will win  
 
When the result cameit was found that only one of the above three had made a 
correct statement. Who has made the correct statement and who has won the 
contest.  
Ans: Sujith; Lakers (5marks )  
9. Five people A ,B ,C ,D ,E are related to each other. Four of them make one true 
statement each as follows.  
(i) B is my father's brother. (ii) E is my mother-in-law. (iii)C is my son-in-law's 
brother (iv)A is my brother's wife.  
Ans: (i) D (ii) B  
(iii) E (iv) C (10 marks)  
10. Some statements are given below:  
• L says all of my other four friends have money  
• M says that P said that exactly one among them has money  
• N says that L said that precisely two among them have money  
• O says that M said that three of the others have money  
• P, L and N said that they have money  
 
All the above statement are false.. Who has money & who doesn't have any 
money?  
(5 marks)  
SET B  
1. Mr.Mathurs jewels have been 
stolen from his bank locker . 
The bank has lockers of 12 
people which are arranged in an 
array of 3 rows and 4 columns 
like: 1 
2 3 4 
5 6 7 8 
9 
1
0 
1
1 
1
2 
 
Which box belonged to Mr.Mathurs?  
Ans: Box number 9 belongs to Mr.Mathurs.  
2. Fifty minutes ago if it was four times as many minutes past three o'clock,how 
many minutes is it to six o'clock?  
Ans: Twenty six minutes.  
3. If a clock takes 7seconds to strike 7, how long will the same clock take to strike 
10?  
Ans: The clock strikes for the first time at the start and takes 7 seconds for 6 
intervals-thus for one interval time taken=7/6. Therefore, for 10 seconds there are 9 
intervals and time taken is 9*7/6=10 and 1/2 seconds.  
4. Three criminals were arrested for shop lifting. However, when interrogated only 
one told the truth in both his statements, while the other two each told one true 
statement and one lie. The statements were:  
• ALBERT :(a)Chander passed the merchandise. (b)Bruce created the diversion.  
• BRUCE :(a)Albert passed the merchandise. (b)I created the diversion.  
• CLIVE :(a)I took the goods out of the shop. (b)Bruce passed them over.  
 
Ans: Albert passed the goods.Bruce created the diversion..Clive took the goods out 
of the shop.  
5. Everyday in his business a merchant had to weigh amounts from 1 kg to 121 
kgs, to the nearest kg.  
 
What are the minimum number of weight required and how heavy should they be?  
Ans: .The minimum number is 5 and they should weigh 1,3,9,27 and 81 kgs.  
6. A hotel has 10 storeys.Which floor is above the floor below the floor, below the 
floor above the floor, below the floor above the fifth.  
Ans: The sixth floor.  
7. Seven members sat around a table for three days for a conference. The member's 
names were Abhishek, Amol, Ankur, Anurag,Bhuwan ,Vasu and Vikram. The 
meetings were chaired by Vikram. On the first evening members sat around the 
table alphabetically. On the following two nights, Vikram arranged the seatings so 
that he could have Abhishek as near to him as possible and abesent minded Vasu 
as far away as he could. On no evening did any person have sitting next to him a 
person who had previously been his neighbour. How did Vikram manage to seat 
everybody to the best advantage on the second and third evenings?  
Ans: Second evening:Vikram,Ankur,Abhishek,Amol,Vasu,Anurag and Bhuwan. 
Third evening :Vikram,Anurag,Abhishek,Vasu,Bhuwan,Ankur,Amol.  
8. Two trains start from stations A and B spaced 50 kms apart at the same time and 
speed. As the trains start, a bird flies from one train towards the other and on 
reaching the second train, it flies back to the first train.This is repeated till the 
trains collide. If the speed of the trains is 25 km/h and that of the bird is 100km/h. 
How much did the bird travel till the collision.  
Ans: 100 kms.  
9. Four prisoners escape from a prison. The prisoners, Mr East, Mr West, Mr 
South, Mr North head towards different directions after escaping. The following 
information of their escape was supplied:  
• The escape routes were The North Road, South Road, East Road and West 
Road.  
• None of the prisoners took the road which was their namesake.  
• Mr.East did not take the South Road  
• Mr.West did not the South Road.  
• The West Road was not taken by Mr.East  
 
What road did each of the prisoners take to make their escape?  
Ans: Mr.East took the North Road Mr.West took the East Road Mr.North took the 
South Road Mr.South took the West Road.  
10. Complete the series: 5, 20, 24, 6, 2, 8, ? 
Ans: 12 (as 5*4=20, 20+4=24, 24/4=6, 6-4=2, 2*4=8, 8+4=12).  
SET C  
1) A man collects cigarette stubs and makes one full cigarette with every 8 stubs. If 
he gets 64 stubs how many full cigarettes can he smoke. Ans: 8+1=9 2) A soldier 
looses his way in a thick jungle. At random he walks from his camp but 
mathematically in an interesting fashion. First he walks one mile East then half 
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