SSC CGL 11 June 2019 Shift-3

Instructions

For the following questions answer them individually

Question 51

The value of $$\sin^2 48^\circ + \sin^2 42^\circ - \sec^2 30^\circ + \tan^2 60^\circ $$ is equal to:

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Question 52

For what value of x is the seven digit number 46393x8 divisible by 11 ?

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Question 53

If a : b = 5 : 8 and c : b = 4 : 3, then a : b : c is equal to:

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Question 54

In $$\triangle$$ABC,P is a point on BC such that BP : PC = 1 : 2 and Q is the mid point of BP. Then, ar($$\triangle$$ABQ): ar($$\triangle$$ABC) is equal to:

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Question 55

The difference between the compound interest and simple interest on ₹x at 12% per annum for 2 years is ₹18. What is the value of x?

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Question 56

If a + b = 8 and ab = $$\frac{32}{3}$$, then $$(a^3 + b^3)$$ is equal to:

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Question 57

If a + b + c = 4 and ab + bc + ca = 2, then $$a^3 + b^3 + c^3 - 3abc$$ is equal to:

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Question 58

A is 50% more efficient than B and C is 40% less efficient than B. Working together, they can complete a task in 10 days. In how many days will A alone complete 150% of that task?

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Question 59

If $$\sqrt x + \frac{1}{\sqrt x} = \sqrt7,  then  x^3 + \frac{1}{x^3}$$ is equal to:

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Question 60

If $$\sec \theta = \frac{13}{5},  then  \tan \theta - \sin \theta + \cos \theta$$ is equal to:

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