SSC CGL 12th Dec 2022 Shift-3

Instructions

For the following questions answer them individually

Question 61

Find the value of $$\sec \theta - \tan \theta$$, if $$\sec \theta + \tan \theta = \sqrt{5}$$

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Question 62

A is 40% more efficient than B. How much time will both, working together, take to finish the work, which B alone can finish in 36 days?

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Question 63

If p = 8.15, q = 9.06 and r = −17.21, then the value of $$p^3 + q^3 + r^3 - 3pqr$$ is:

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Question 64

The HCF of three numbers 98, 175 and 210 will be:

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Question 65

If the seven-digit number 52A6B7C is divisible by 33, and A, B, C are primes, then the maximum value of 2A + 3B + C is:

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Question 66

The table given below shows the number of tractor sold by two companies.

Number of tractor T5 sold by both companies is how much percent more than the number of tractor T2 sold by both companies?

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Question 67

The table given below shows the number of scissor sold by five shopkeepers.

What are the ratio of number of scissor sold by R to the sold by S?

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Question 68

Raghav purchased a shirt at Rs.1,500 and marked up the price of the shirt by 40%. What is the discount percentage he has to offer in order to get a profit of Rs.75?

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Question 69

If $$\tan 3 \theta.\tan 7 \theta = 1$$, where $$7 \theta$$ is an acute angle, then find the value of $$\cot 15 \theta$$.

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Question 70

If $$x^4 + \frac{16}{x^4} = 15617, x > 0$$, then find the value of $$x + \frac{2}{x}$$.

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