AFCAT Exam (I)- 2025 Defence Question Paper

AFCAT Exam (I)- 2025

AFCAT Exam (I)- 2025 Defence Questions

31.
Two taps A and B can fill a tank alone in 6 hours and 9 hours respectively while a third tap C alone can empty the same tank in 18 hours. If all the three taps are opened together, then in how many hours the tank will be filled?
A.
5 hours
B.
3.5 hours
C.
6 hours
D.
4.5 hours
ANSWER :
D. 4.5 hours
32.
Ajay and Vijay can do a work in 25 days and 40 days respectively. They start the work together, but Ajay left after some days and Vijay finished the remaining work in 27 days. After how many days did Ajay leave?
A.
7 days
B.
10 days
C.
6 days
D.
5 days
ANSWER :
D. 5 days
33.
A, B and C enter into a partnership with their capital in the ratio \( \frac{2}{5} : \frac{3}{4} : \frac{5}{8} \). After 4 months A increased his capital by 50%, B increased his capital by 25% and C decreased his capital by 20%. At the end of a year, there was a profit of Rs. 7800. What is the share of B in the profit?
A.
Rs. 2560
B.
Rs. 4200
C.
Rs. 3500
D.
Rs. 3700
ANSWER :
C. Rs. 3500
34.
A train takes 11 seconds and 10 seconds to cross 2 men who are walking in the same direction of the train at the speed of 6 km/hr and 5 km/hr respectively. Find the speed of the train.
A.
16 km/hr
B.
200 km/hr
C.
18 km/hr
D.
17 km/hr
ANSWER :
A. 16 km/hr
35.
The rectangular park with a length and breadth of 180 m & 120 m respectively, is maintained in a circular field. The area of the circular field excluding the park is 40000 metre square. Find the radius of the field.
A.
120 m
B.
140 m
C.
130 m
D.
160 m
ANSWER :
B. 140 m
36.
In a class of 45 students, the ratio of the number of boys and girls is 4 : 5. The average score of boys in mathematics is 78. If the average score of all the students in the class in mathematics is 76, then what is the average score of girls in mathematics?
A.
73.6
B.
71.8
C.
72.4
D.
74.4
ANSWER :
D. 74.4
37.
A bag contains 5 red, 8 black balls and 7 blue balls. A ball is drawn at random from the bag. Find the probability that the ball drawn is red or blue.
A.
\( \frac{2}{5} \)
B.
\( \frac{3}{5} \)
C.
\( \frac{4}{5} \)
D.
\( \frac{3}{4} \)
ANSWER :
B. \( \frac{3}{5} \)
38.
A sum of money becomes 3 times of itself in 5 year at compound interest, then find in how many years this sum becomes 9 times at the same rate of interest?
A.
5 years
B.
10 years
C.
6 years
D.
9 years
ANSWER :
B. 10 years
39.
A square park having a side 20 m has two roads each 2 m wide running in the middle of it and parallel to its length and breadth. What will be cost of gravelling the path at the rate of Rs. 100/\( m^{2} \)?
A.
Rs. 7,200
B.
Rs. 7,600
C.
Rs. 8,800
D.
Rs. 8,400
ANSWER :
B. Rs. 7,600
40.
What is the least number added to 2483 so that it is completely divisible by 3, 4, 5 and 6?
A.
37
B.
23
C.
22
D.
30
ANSWER :
A. 37