SSC CGL 13 June 2019 Shift-3

Instructions

For the following questions answer them individually

Question 61

3 men, 4 women and 6 boys together can complete a work in 6 days. A woman does triple the work a man does and a boy does half the work a man does. How many women alone will be able to complete this work in 4 days?

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Question 62

What is the difference between a single discount of 30% and a single discount equivalent to two successive discounts of 25% and 5%, being given on shopping of ₹2,000?

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Question 63

A sphere of radius 6 cm is melted and recast into spheres of radius 2 cm each. How many such spheres can be made?

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Question 64

If a sum amounts to ₹2,190 in four years and ₹2,409 in five years at compound interest, when the interest is compounded yearly, then the annual rate of interest is:

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Question 65

When an integer n is divided by 8, the remainder is 3. What will be the remainder if 6n-1 is divided by 8 ?

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Question 66

If $$a^3 - b^3 = 208  and  a - b = 4,  then  (a + b )^2 - ab$$ is equal to:

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Question 67

If $$x + \frac{1}{x} = 5,  then  x^3 + \frac{1}{x^3}$$ is equal to:

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Question 68

If $$3 \cos^2 A + 7 \sin^2 A = 4$$, then what is the value of $$\cot A$$, given that A is an acute angle?

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Question 69

If $$(x - 5)^3 + (x - 6)^3 + (x - 7)^3 = 3 (x - 5) (x - 6) (x - 7)$$, then what is the value of x ?

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Question 70

If $$\tan x = \cot(45^\circ+ 2x)$$, then what is value of x?

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