AFCAT Exam (II)- 2025 Defence Question Paper

AFCAT Exam (II)- 2025

AFCAT Exam (II)- 2025 Defence Questions

1.
A retail fruit vendor buys a score of apples for ₹400 and retails them for ₹264 a dozen. What was his loss/gain per cent? (a score = 20 nos.)
A.
10% profit
B.
20% profit
C.
10% loss
D.
5% loss
ANSWER :
A. 10% profit
2.
A car can finish a certain journey in 10 hrs at a speed of 48 km/hr. In order to cover the same distance in 8 hrs, the speed of the car must be increased by:
A.
6 km/h
B.
7.5 km/h
C.
12 km/h
D.
15 km/h
ANSWER :
C. 12 km/h
3.
The circumferential length of a circle of radius 7 cm is used to construct a square. The length of the side of the square is: (Take \( \pi = \frac{22}{7} \).)
A.
7 cm
B.
11 cm
C.
15 cm
D.
22 cm
ANSWER :
B. 11 cm
4.
A cuboidal water tank contains \( 256 cm^{3} \) of water. Its depth is half of its length and its breadth is \( \frac{1}{4} \) of the difference between its length and depth. The length of the tank is _____.
A.
16 cm
B.
18 cm
C.
14 cm
D.
12 cm
ANSWER :
A. 16 cm
5.
If the difference between the compound interest and the simple interest on a sum of money for 1 year compounded half-yearly at the rate of 8% per annum is Rs. 30, then find the sum.
A.
Rs. 17580
B.
Rs. 17850
C.
Rs. 18750
D.
Rs. 78570
ANSWER :
C. Rs. 18750
6.
If \( a + b = 40 \) and \( a^{2} + b^{2} = 116 \), find the value of \( a^{3} + b^{3} \).
A.
-1890
B.
-25040
C.
-25480
D.
248
ANSWER :
B. -25040
7.
A is 50% more efficient than B. Working together, they can complete a job in 20 days. How long would B alone take to complete the same job?
A.
60 days
B.
40 days
C.
45 days
D.
50 days
ANSWER :
D. 50 days
8.
A candidate was asked to multiply a number by 25. He mistakenly multiplied it by 52. His answer was 324 more than the expected answer. So which number was the candidate asked to multiply?
A.
12
B.
15
C.
25
D.
32
ANSWER :
A. 12
9.
If x : y = 12 : 5 and z : y = 21 : 16, then find the value of x : z.
A.
20 : 63
B.
63 : 20
C.
64 : 35
D.
48 : 35
ANSWER :
C. 64 : 35
10.
The ratio of the ages of the father and son is 7 : 3. If we multiply their ages, we get 756. What will be the ratio of the ages of the father and the son after 6 years?
A.
5 : 2
B.
11 : 7
C.
2 : 1
D.
13 : 9
ANSWER :
C. 2 : 1