RRB NTPC 2025-01-09-2025-3 RRB Question Paper

RRB NTPC 2025-01-09-2025-3 RRB Questions

41.
Section - Mathematics
Nikhil, Nidhi and Tejas invested ₹1,200, ₹1,070 and ₹1,310, respectively to start a business. If the profit at the end of the year is ₹1,790, what is Tejas's share of the profit?
A.
₹654
B.
₹657
C.
₹658
D.
₹655
ANSWER :
D. ₹655
42.

If X = \(\frac{(1+\cos\theta)(2-2\cos\theta)}{(2+2\sin\theta)(1-\sin\theta)}\), then the value of X + \( \frac{1}{x} \) + 2 is:

A.

cot²θ

B.

cos²θ + sec²θ

C.

sec²θsin²θ

D.

cosec²θsec²θ

ANSWER :

D. cosec²θsec²θ

43.
A sum of money triples itself at a certain rate of compound interest in 17 years. In how many years will it amount to 81 times of itself?
A.
68 years
B.
59 years
C.
58 years
D.
64 years
ANSWER :
A. 68 years
44.

The value of 8² + \(\sqrt{3^2}\)− 2\(\sqrt{36}\) − 11 is

A.

38

B.

50

C.

51

D.

44

ANSWER :

D. 44

45.
A shopkeeper offers the following discount scheme to his customers for the purchase of articles in his shop.
'Buy 20 and get 5 free'
Find the discount percentage offered.
A.
25%
B.
30%
C.
20%
D.
32%
ANSWER :
C. 20%
46.

Find the value of x satisfying: 5(5x² − 5) − 5(5x² + 7x − 2) = 14

A.

−\( \frac{29}{35} \)

B.

−\( \frac{38}{35} \)

C.

−\( \frac{39}{35} \)

D.

−\( \frac{24}{35} \)

ANSWER :

A. −\( \frac{29}{35} \)

47.
The LCM of the numbers 2.8 and 0.217 is:
A.
0.868
B.
8.68
C.
868
D.
86.8
ANSWER :
D. 86.8
48.
If 4 times a son's age is added to his father's age, the sum is 100 years. If 2.5 times the father's age is added to the son's age, the sum is 97 years. What is the father's age (in years)?
A.
31
B.
32
C.
36
D.
30
ANSWER :
B. 32
49.
4 men can complete a piece of work in 12 days, while 8 women can do it in 15 days. In how many days can 3 women and 2 men complete this work?
A.
19 days
B.
15 days
C.
11 days
D.
14 days
ANSWER :
B. 15 days
50.
Find the number of sides of a regular polygon, each of whose interior angles measures 162°.
A.
18
B.
16
C.
20
D.
22
ANSWER :
C. 20