# ssc cgl tier 1 :: quantitative aptitude :: qa test 85

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

1 .
If sin $\theta$ + $sin^ 2$ $\theta$ = 1, then find the value of $cos^ 8$ $\theta$ +$cos^ 4$ $\theta$ + 2$cos^ 6$ $\theta$ - 1
1
- 1
2
0

2 .
If a= 33, b= 32, c= 31, then find the value of$a^ 3$ + $b^ 3$ + $c^ 3$ - 3abc.
0
216
288
192

3 .
On what sum of money will the C.I. of 2 yrs be the same as the S.I. on Rs. 416 for 10 yrs, the rate of interest being 8% per annum?
Rs. 2200
Rs. 24000
Rs. 2000
Rs. 1600

4 .
The value of $\theta$ in $sin \theta \over 1 - cos \theta$ + $sin \theta \over 1 + cos \theta$ = 2 is
45°
90°
60°
30°

5 .
On walking at $(14 \over 11)^{th}$ of his usual speed, a boy reaches 4 minutes earlier to his school. Find the usual time taken by him to reach the school.
16.5 min
18.66 min
17.8 min
19.4 min

6 .
Find the value of 1 - $cos^2 A \over 1 + sin A$ + $1 + sin A \over cos A$ - $cos A \over 1 - sin A$
0
1
sin A
cos A

7 .
In the given figure A, B, C, D are points on a circle, then the value of 'y' is

70°
75°
50°
90°

8 .
The product of two numbers is 12 times the difference of these two numbers. If the sum of these numbers is 10, then the larger number is
6
4
8
2

9 .
The L.C.M. and H.C.F. of two numbers are 60 and 6 respectively. If the ratio of both the numbers is 2:5, then the larger of two numbers is
30
20
40
45
What will be the remainder when ($46^ {92}$ + 46) is divided by 47 ?