Csir Net/jrf Question paper june 2017 solutions -General Aptitude

Q1. N is a two digit number such that the product of its digits when added to their sum equals N. The unit digit of N would be

1)1

2)7

3)8

4)9
Solution:

Q2. If  P + 1/Q = 1 and  Q + 1/R = 1 , then what is PQR ?

1) -1

2) 2

3) -2

4) cannot be calculated
Solution:

Q3. What is the remainder when 3^ 256 is divided by 5?

1) 1

2) 2

3) 3

4) 4
Solution:

Q4. If equal weights of 22 carat gold ( alloy of 22 parts gold and 2 parts copper by weight) and 24 carat gold ( pure gold) are mixed to form an alloy, what will be the weight proportion of copper in the alloy?

1) 1/2

2) 1/8

3) 1/12

4) 1/24
Solution:

Q5.

A 4m* 4m floor needs to be covered by tiles of size of 2m*1m. Two diagonally opposite corners of size

1m*1m should be left uncovered. How many tiles are required to complete the job without breaking the tiles or overlapping them?

1) 6

2)7

3)8

4) Impossible to cover
Solution:

Q6. If 42->26, 71->78,33->16, then 62->

1)68

2)54

3)38

4)39
Solution:

 Q8. Consider a square of side a. Fit  the largest possible circle inside it and the largest possible square inside the circle. what is the side length of the inner most square?
Solution:

Q9. Walking from my him at a speed of  5 km/hr. I am 8 minutes late in reaching my office. If  I walk at a speed of 8 Km/hr I reach 5 minutes late. How far is my office from the house?

1) 2 km

2) 1/3 km

3) 2/3 km

4) 1/2 km
Solution:

Q10. A,B and C are three distinct digits . If they are added as below

1) A = 3, B = 4 ,C = 5
2)A = 2, B = 3 ,C = 1
3)A = 5, B = 1 ,C = 3
4)A = 1, B = 8 ,C = 5
Solution:

Q12. L is the tallest and eldest of a group of five people K ,L,M,N and P. M is elder to N and shorter than K. M and P are of same age and P is taller than K. N and K are of same height and K is younger to P. Which of the following inferences is certain?

1) P is taller than M

2) N is the youngest

3) N is elder to P

4) N is elder to K
Solution:

Q13. If the product of three consecutive positive integers is equal to their sum, then what would be the sum of their squares?

1) 9

2)14

3)16

4)24
Solution:

Q16. If NET14 & NET15 are five digit numbers such that their sum =157229, then N + E + T would be

1)15

2)21

3)25

4)72
Solution:

Q17. A cylindrical cake is to be cut into 16 equal pieces. What is the minimum number of cuts required to do so?

1)9

2)3

3)8

4)5
Solution:

Q19.

Pre-Ph.D exam score pf 10 students are plotted against their M.Sc. marks. Which of the following is true?

1) Two students have scored better in Pre-Ph.D than their M.Sc. exam.

2) All those students who scored 50% in Pre- Ph.D scored more percentage of marks in their M.Sc. exam.

3) Two students scored the same percentage of marks in their Pre-Ph.D and M.Sc. exams

4) The student who scored maximum in M.Sc. is the only student to get maximum in Pre-Ph.D exam

Solution:

Q20. With reference to the right- angled triangle shown, what is the value of sin(A)cos(B) + cos(A)cos(B) ?

1. -1/2
2. 1
3. 1/2
4. -1
Solution: