AFCAT Exam - 2013 Defence Question Paper

AFCAT Exam - 2013

AFCAT Exam - 2013 Defence Questions

41.
The number whose square is equal to the difference of the squares of 37 and 23 is:
A.
45.09
B.
28.98
C.
47.09
D.
28
ANSWER :
B. 28.98
42.
The average age of 8 men is increased by 4 years when one of them whose age is 30 years is replaced by a new man. What is the age of new man?
A.
55 Years
B.
62 Years
C.
42 Years
D.
69 Years
ANSWER :
B. 62 Years
43.
A vessel, full of water, weighs 24 Kg. When the vessel is \( \frac{1}{4} \) full, it weighs 9 kg. Find the weight of empty vessel.
A.
4 Kg
B.
5 Kg
C.
8 kg
D.
3 kg
ANSWER :
A. 4 Kg
44.
If \( a - b = 4 \) and \( ab = 45 \), find the value of \( a^{3} - b^{3} \).
A.
604
B.
370
C.
253
D.
199
ANSWER :
A. 604
45.
If \( \frac{a}{a+b} = \frac{15}{21} \), what is \( \frac{a+b}{a-b} \) equal to?
A.
\( \frac{13}{9} \)
B.
\( \frac{23}{11} \)
C.
\( \frac{14}{5} \)
D.
\( \frac{21}{9} \)
ANSWER :
D. \( \frac{21}{9} \)
46.
\( \frac{(798+579)^{2} - (798-579)^{2}}{798 \times 579} \) = ?
A.
2
B.
6
C.
4
D.
8
ANSWER :
C. 4
47.
A man's average monthly expenditure for the first four months of the year was ₹ 231.25. For the next five months, the average monthly expenditure was ₹ 22.75 more than what it was during the first four months. If the person spent ₹ 605 in all during the remaining three months of the year, find what percentage of his annual income of ₹ 3500 did he save in the year?
A.
10%
B.
15%
C.
20%
D.
25%
ANSWER :
C. 20%
48.
The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.4 years. The ratio of the number of boys to the number of girls in the class is:
A.
1:2
B.
2:3
C.
3:4
D.
3:5
ANSWER :
B. 2:3
49.
18 buckets of water fill a tank when the capacity of each bucket is 8 litres. How many buckets will be needed to fill the same tank, if the capacity of the bucket is 12 litres?
A.
12
B.
13.5
C.
24
D.
can not be determined due to insufficient data
ANSWER :
A. 12
50.
Srinivasan invests two equal amounts in two banks giving 8% and 12% rate of interest respectively. At the end of year the interest earned is Rs 1500. Find the sum invested in each.
A.
₹ 8500
B.
₹ 15000
C.
₹ 7500
D.
₹ 17000
ANSWER :
C. ₹ 7500