SSC CHSL 5 July 2019 Shift-2

Instructions

For the following questions answer them individually

Question 61

The given Bar Graph presents the Imports and Exports of an item (in tonnes) manufactured by a company for the five financial years, 2013-2014 to 2017-2018.

What is the ratio of total Imports to total Exports during 2013-2014, 2015-2016 and 2017-2018?

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Question 62

The ratio between the speeds of two trains is 5 : 7. If the first train covers 300 km in 3 hours, then the speed (in km/h) of the second train is:

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Question 63

If $$5^{\sqrt[3]{x}} + 12^{\sqrt[3]{x}} = 13^{\sqrt[3]{x}}$$, then the value of $$x$$ is:

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Question 64

If $$6(\sec^2 59^\circ - \cot^2 31^\circ) + \frac{2}{3}\sin 90^\circ - 3 \tan^2 56^\circ y \tan^2 34^\circ = \frac{y}{3}$$, then the value of $$y$$ is:

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Question 65

If $$\sec \theta = 4x,  and  \tan \theta = \frac{4}{x}$$, (x ≠ 0) then the value of $$8\left(x^2 - \frac{1}{x^2}\right)$$ is:

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Question 66

In triangle ABC, the length of BC is less than twice the length of AB by 2 cm. The length of AC exceeds the length of AB by 10 cm. The perimeter is 32 cm. The length (in cm)of the smallest side of the triangle is:

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Question 67

The chord of the contact of tangents drawn from a point on the circle $$x^2 + y^2 = a^2$$ to the circle $$x^2 + y^2 = b^2$$ touches the circle $$x^2 + y^2 = c^2$$ such that $$b^m = a^n c^p$$ where m,n,p $$\in$$ N and m, n, p are prime to each other, then the value of m + n + p - 3 is:

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Question 68

If $$(2x + 7)^3 + (2x + 8)^3 + (2x + 3)^3 = 3 (2x + 7) (2x + 8) (2x + 3)$$, then what is the value of $$x$$ ?

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Question 69

If $$x = \sqrt3 - \sqrt2$$, then the value of $$x^3 - x^{-3}$$ is:

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Question 70

A circle is inscribed in a triangle ABC. It touches sides AB, BC and AC at the points P, Q and respectively. If BP = 5 cm, CQ =7 cm and AR = 6 cm, then the perimeter (in cm) of the $$\triangle$$ABC is:

Video Solution
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