SSC CHSL 10 July 2019 Shift-3

Instructions

For the following questions answer them individually

Question 61

If $$a^2 + b^2 = 169, ab = 60, (a > b)$$, then $$(a^2 - b^2)$$ is equal to:

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Question 62

If $$\theta = 9^\circ$$, then what is the value of 

$$\cot \theta \cot 2\theta \cot 3\theta \cot 4\theta \cot 5\theta \cot 6\theta \cot 7\theta \cot 8\theta \cot 9\theta$$ ?

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Question 63

A milkman uses three containers forselling milk, their capacities being 40 L, 30 L and 20 respectively. He fills respectively 87.5%, 80% and 90% of the containers with a mix of milk and water in the ratios, 3: 2, 5: 1 and 7:2 respectively. What is the ratio of the total quantity of milk to that of water carried by him?

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Question 64

The simplified value of $$\frac{0.01404}{24^2 + 6^2 - 144}$$ is:

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Question 65

It is given that, $$\sqrt{\frac{1 - \sin x}{1 + \sin x}} = a - \tan x$$ then a is equal to:

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Question 66

A rectangular portion of an airport runway was getting repaired for which an estimate was made on the basis ofa rate ₹R per square unit. But while doing the work, the length of the portion got increased by 10% and the breadth by 8%. Over and above this, there was an increasein the cost of the repair work to the extent of 15%. What wasthe overall percentage increase in the cost of repair over the estimate?

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Question 67

The given Bar Graph presents the data of annual income (A) and annual expenditure (B) of an IT officer in a multinational company during the years 2012 to 2016.

For which pair of years, the ratio of savings to expenditure is equal?

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Question 68

Which among the following numbers is exactly divisible by 11, 13 and 7?

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Question 69

The given Bar Graph presents the data of annual income (A) and annual expenditure (B) of an IT officer in a multinational company during the years 2012 to 2016.

What is the ratio between the ratios of Savings to Expenditure, respectively for the periods 2012-13 and 2015-16?

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Question 70

It is given that men are twice as efficient than women in respect of doing a work.If three men and two women can complete the work in 2 days, then in how many days can a woman working alone complete the work ?

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