# ssc cgl tier 1 :: quantitative aptitude :: qa test 43

## Home ssc cgl tier 1 / quantitative aptitude Questions and Answers

1 .If x+($1\over x$)=2 then the value of $x^7$+ ($1\over x^7$) is
A.$2^5$
B. 2
C. $2^12$
D.$2^7$
a
b
c
d

2 .If a shop-keeper purchases cashewnut at  250 per kg and sells it at  10 per 50 grams, then he will have ____
25% Profit
25% Loss
20% Loss
20% Profit

3 .The average of some natural numbers is 15. If 30 is added to first number and 5 is subtracted f rom the l ast number the average becomes 17.5 then the number of natural number is ?
10
30
20
15

4 .The total s urf ace area of a regul ar triangular pyramid with each edges of length 1 cm is ?
A. $4\sqrt3$ $cm^2$
B. $\sqrt3$ $cm^2$
C. 4 $cm^2$
D.$4\over3$$\sqrt3$ $cm^2$
a
b
c
d

5 .The shadow of a tower standing on a level plane is found to be 40 m longer when the sun's altitude is 45Â°, than when it is 60Â°. The height of the tower is
A.30(3+$\sqrt3$)m
B.40(3+$\sqrt3$)m
C.20(3+$\sqrt3$)m
D.10(3+$\sqrt3$)m
a
b
c
d

6 .Provided, sin(A â€“ B) = sinA cosB â€“ cosA sinB, then sin15Â° will be
A.$\sqrt3-3\over2\sqrt3$
B.$\sqrt3-3\over\sqrt2$
C.$\sqrt3\over2\sqrt2$
D.$\sqrt3+3\over2\sqrt3$
a
b
c
d

7 .The ratio of the ages of A and B at present is 3 : 1. Four years earlier the ratio was 4 : 1. The present age of A is ?
36 years
32 years
48 years
40 years

8 .If sinÎ¸+ $sin^2$Î¸ = 1, then value of $cos^2$ Î¸+ $cos^4$Î¸ is
0
1
2
-1

9 .A bus moving at 40 km per hour covers a distance in 6 hours 15 minutes. If it travels the same distance at 50 km per hour how long will it take to cover the distance ?
5 hrs
6 hrs
4 hrs
2 hrs

10 .If Î±is an acute angle and 2sin Î±+ 15 cos2 Î±= 7, then the value of cot Î± is
A.$3\over4$
B.$5\over4$
C.$4\over3$
D.$4\over5$
a
b
c