(11 Nov 2020) – Mathematical Reasoning, 1st & 2nd Shift NTA UGC NET JRF Question paper, Answer key

1. Find the wrong number in the series:
7, 8, 18, 57, 228, 1165, 6996

A. 1165
B. 57
C. 228
D. 18

2. In a park A, B, C, D, E and F are sitting. C is the brother of D’s husband and son of A. F is the daughter of D and sister of E.
(A)E is the grandson of A
(B) F is the daughter of C
(C) B is the father of F
(D) There are one son and one daughter in the group
(E) C is the uncle of E

(1)(A), (B) and (C) only
(2)(A), (C) and (E) only
(3)(B), (D) and (E) only
(4) (B), (C) and (D) only

3. In a 100 meters race, A beat B by 10 meter or 2 seconds. What is the speed of A?

(1) 5 Km/h
(2) 10 Km/h
(3) 15 Km/h
(4) 20 Km/h

4. In a `100m` race, A beats B by `20m` or 5 seconds. Find the speed of A

A 10 m/s
B 5 m/s
C 20 m/s
D 15 m/s

5. Three pipes fill a tank in 4 hours. If two of them take 8 and 12 hours each to fill the tank, how many hours will the third pipe take to fill the tank?


(1) 6 hours
(2) 15 hours
(3) 18 hours
(4) 24 hours

6. The ratio of ages of two persons A and B is 3 : 4 and that of ages of B and C is 4: 5. If the average of all three is 40 years, what is B’s age?


(1) 20 years
(2) 30 years
(3) 40 years
(4) 50 years

7. If UGCNET = 35, then CSIRNET =

1. 42
2. 43
3. 44
4. 45

8. The missing letters in the given letter series are:
BCE, CDG, DEI,_FGM

1. EFK
2. EGJ
3. EFH
4. EGH

9. A certain principal is invested at the annual rate of interest of 5% for 2 years. The difference between compound interest and simple interest is Rs.1 (Rupee one). What is the principal?

1. Rs.150
2. Rs.250
3. Rs.300
4. Rs.400

10. Twenty times a positive integer is less than its square by 96. What is the integer?

1. 24
2. 20
3. 30
4. 14