# SSC CGL Tier 1 :: Quantitative Aptitude QA Test 43

## Home SSC CGL Tier 1 / Quantitative Aptitude QA Test 43 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 45°, than when it is 60°. 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 – B) = sinA cosB – cosA sinB, then sin15° 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 sinθ+ $sin^2$θ = 1, then value of $cos^2$ θ+ $cos^4$θ 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 αis an acute angle and 2sin α+ 15 cos2 α= 7, then the value of cot α is
A.$3\over4$
B.$5\over4$
C.$4\over3$
D.$4\over5$
a
b
c