RRB NTPC 2025-12-06-2025-3 RRB Question Paper

RRB NTPC 2025-12-06-2025-3 RRB Questions

11.

Simplify \(\left(\frac{\sec\theta-1}{\sec\theta}\right)\) × \(\left(\frac{\cosec\theta-1}{\cosec\theta}\right)\) × \(\left(\sin\theta-\frac{1}{\sin\theta}\right)\).

A.

cos³θ

B.

−sin³θ

C.

sin³θ

D.

−cos³θ

ANSWER :

D. −cos³θ

12.
Shaan starts from Point A and drives 6 km towards North. He then takes a right turn, drives 7 km, turns right and drives 12 km. He then takes a right turn and drives 8 km. He takes a final right turn, drives 6 km and stops at Point P. How far (shortest distance) and towards which direction should he drive in order to reach Point A again? (All turns are 90° turns only unless specified)
A.
2 km to the east
B.
3 km to the east
C.
4 km to the east
D.
1 km to the east
ANSWER :
D. 1 km to the east
13.
Which vitamin deficiency is most likely in a person with a blocked bile duct?
A.
Vitamin A
B.
Vitamin B12
C.
Vitamin B1
D.
Vitamin C
ANSWER :
B. Vitamin B12
14.
Shan has ₹1,617 with him. He divided it amongst his sons Piyush and Manoj and asked them to invest it at 10% rate of interest per annum, compounded annually. It was seen that Piyush and Manoj got the same amount after 11 and 12 years, respectively. How much (in ₹) did Shan give to Piyush?
A.
₹697
B.
₹847
C.
₹870
D.
₹770
ANSWER :
B. ₹847
15.
The subtropical jet stream plays a critical role in the withdrawal of the monsoon by which of the following?
A.
Replacing tropical easterlies
B.
Inducing subsidence over land
C.
Triggering cold air advection
D.
Intensifying the ITCZ
ANSWER :
B. Inducing subsidence over land
16.

If a² + b² = 168, a × b = 27, and a > b, find \(\frac{a-b}{a+b}\).

A.

\(\sqrt{\frac{57}{111}}\)

B.

\(\sqrt{\frac{53}{121}}\)

C.

\(\frac{57}{111}\)

D.

\(\frac{55}{121}\)

ANSWER :

A. \(\sqrt{\frac{57}{111}}\)

17.
'Aus', 'Aman' and 'Boro' are important crops of which of the following in states like Assam, West Bengal and Odisha?
A.
Wheat
B.
Cotton
C.
Paddy
D.
Mustard
ANSWER :
C. Paddy
18.
Who among the following appoints the Chairman of the National Human Rights Commission of India?
A.
The Chief Justice of India
B.
The President of India
C.
The Prime Minister
D.
The Speaker of the Lok Sabha
ANSWER :
B. The President of India
19.
If 5.1 : 96.9 :: 96.9 : x, then find the value of x.
A.
1845.8
B.
1837.9
C.
1844.3
D.
1841.1
ANSWER :
D. 1841.1
20.
A and B can complete a work in 11 days and 33 days, respectively. They started doing the work together, but after 3 days, B had to leave, and A completed the remaining work alone. The remaining work was completed in ______ days.
A.
7
B.
11
C.
10
D.
12
ANSWER :
A. 7