SSC CGL Tier 1 Quantitative Aptitude Questions and Answers Online Test 85

1 .

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

A. 1

B. - 1

C. 2

D. 0

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2 .

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

A. 0

B. 216

C. 288

D. 192

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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?

A. Rs. 2200

B. Rs. 24000

C. Rs. 2000

D. Rs. 1600

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4 .

The value of $\theta$ in $sin \theta \over 1 - cos \theta$ + $ sin \theta \over 1 + cos \theta$ = 2 is

A. 45°

B. 90°

C. 60°

D. 30°

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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.

A. 16.5 min

B. 18.66 min

C. 17.8 min

D. 19.4 min

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6 .

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

A. 0

B. 1

C. sin A

D. cos A

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7 .

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

A. 70°

B. 75°

C. 50°

D. 90°

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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

A. 6

B. 4

C. 8

D. 2

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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

A. 30

B. 20

C. 40

D. 45

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10 .

What will be the remainder when ($46^ {92}$ + 46) is divided by 47 ?

A. 2

B. 0

C. 47

D. 46

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