# SSC CGL Tier 1 :: Quantitative Aptitude :: QA Test 26

## Home SSC CGL Tier 1 / Quantitative Aptitude Questions and Answers

1 .If 4x = secÎ¸ and $4\over x$ tanÎ¸ , hen find the value of 8($x^2$-$1\over x^2$ ) .
A.$1\over2$
B.$1\over4$
C.$1\over16$
D.$1\over8$
a
b
c
d View Answer Discuss in Forum

2 .If sinÎ¸ + cosÎ¸ = $\sqrt2$ cos (90Â° â€“ Î¸), then cot Î¸ is â€“
A. $\sqrt2$
B. $\sqrt2$ -1
C. $\sqrt2$ +1
D.0
a
b
c
d View Answer Discuss in Forum

3 .Two sides of atriangle are of length 4 cm and 10 cm. If the length of the third side is 'a' cm, then
a< 6
6 < a< 14
a> 5
6 < a<12 View Answer Discuss in Forum

4 .$sec^4$Î¸ â€“ $sec^2$Î¸ is equal to â€“

(A) $sec^2$Î¸ .$cot^2$Î¸
(B) $cos^2$Î¸ â€“ $cos^4$Î¸
(C) $tan^2$Î¸ .$tan^4$Î¸
(D) $sec^2$Î¸ .$tan^2$Î¸
a
b
c
d View Answer Discuss in Forum

5 .If $\sqrt 6$ Ã— $\sqrt 15$ = x $\sqrt 10$ , then find the value of x.

(A) $\sqrt 3$
(B) $\sqrt 6$
(C) 3
(D) Â±3
a
b
c
d View Answer Discuss in Forum

6 .If a+ b+ 1 = 0, then find the value of (a 3 + b 3 + 1 â€“ 3ab).
-1
1
3
0 View Answer Discuss in Forum

7 .In a big garden 60% of the trees are coconut trees, 25% of the number of coconut trees are mango trees and 20% of the number of mango trees are apple trees. If the number of apple tress are 1500, then the number of trees in the garden is â€“
48000
50000
51000
45000 View Answer Discuss in Forum

8 .A coconut merchant finds that the cost price of 2750 coconuts is the same as the selling price of 2500 coconuts. The loss or gain per cent is â€“
5% loss
15% loss
20% gain
10% gain View Answer Discuss in Forum

9 .If $x^4$ + $1\over x^4$ = 23,then the find value of (x- $1\over x$)$^2$
-3
3
7
-7 View Answer Discuss in Forum

10 .In xy-plane, P and Q are two points having co-ordinates (2, 0) and (5, 4) respectively. Then find the numerical value of the area of the circle with radius PQ.
(A) 14 Ï€ (B) 25 Ï€ (C) 100 Ï€ (D) 32 Ï€
a
b
c
d View Answer Discuss in Forum