SSC CHSL 5 July 2019 Shift-3

Instructions

For the following questions answer them individually

Question 51

The average age of four brothers is 14 years. If their father is also included, the average is increased by 4 years. The age of the father (in years) is:

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Question 52

If $$x = 2 - \sqrt3$$ then the value of $$x^3 - x^{-3}$$ is:

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Question 53

If $$3^{\sqrt[3]{x}} + 4^{\sqrt[3]{x}} = 5^{\sqrt[3]{x}}$$ then the value of $$x$$ is:

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Question 54

If $$X$$% of $$Y$$ is 150 and $$Y$$% of $$Z$$ is 300, then the relation between $$X$$ and $$Z$$ is:

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Question 55

The simplified value of $$\frac{\left(3\frac{1}{5} + \frac{3}{5}\right) \div \frac{8}{5}}{1\frac{1}{7} \div \left\{\frac{6}{7} - \left(\frac{1}{7} \div \frac{1}{5}\right)\right\}}$$ is:

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Question 56

Two numbers are in the ratio of 7 : 5. On diminishing each of them by 40, the ratio becomes 27 : 17. The sum of the numbers is:

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Question 57

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 first train is:

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Question 58

The chord of the contact of tangents drawn from 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 $$b^p = a^m c^n$$ . 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 59

A person purchased a vehicle for ₹4,90,828 and sold it for ₹5,52,920. What is the percent profit earned on this vehicle (correct to two decimal places)?

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Question 60

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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