SSC CGL 19th April 2022 Shift-2

Instructions

For the following questions answer them individually

Question 61

Two similar jugs have their heights of 8 cm and 12 cm, respectively. If the capacity of the smaller jug is 80 $$cm^{3}$$, what is the capacity of the bigger jug (in $$cm^{3}$$)?

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Question 62

If $$\cos B = \frac{5}{7}$$, what is the value of $$\cosec B + \cot B$$? Given that $$0 < B < \frac{\pi}{2}$$

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Question 63

The given pie charts show the number of start-ups in various industries since 2010 at the the number of
successful start-ups in those industries.
Study the charts and answer the question that follows.
Start-ups in various industries started since 2010

Successful start-ups in various industries

What should be the increase in the number (to the nearest integer) of successful start-ups in the
industry of Health & Sports, so that its success percentage is the same as that of Education?

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Question 64

A is 120% of B and B is 65% of C. If the sum of A, B and C is 12 1.5, then the value of C - 2B + A is:

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Question 65

A 20 m long ladder rests against a wall so that the angle between the ladder and the wall is $$30^{\circ}$$. How far (in m) is the base of the ladder from the wall?

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Question 66

In $$\triangle ABC, \angle A = 66^{\circ}, BD \perp AC$$ and $$CE \perp AB$$. BD and EC inrersect at P. The bisectors $$\angle$$ PBC and $$\angle$$ PCB meet at Q. What is the measure of $$\angle$$ BQC?

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Question 67

A circle is inscribed in $$\triangle$$ ABC, touching AB, BC and AC at the points P, Q and R, respectively. If AB - BC = 4 cm, AB -AC= 2 cm and the perimeter of $$\triangle$$ ABC = 32 cm , then $$\frac{BC}{2}$$ (in cm)=?

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Question 68

The compound interest on a certain sum of money at 21% p.a. for 2 years is ₹11,138.40 (interest compounded yearly).
The total amount received (in ₹) after 2 years is:

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Question 69

Study the given bar graph and answer the question that follows.
The bar graph shows the exports of cars of type A and B (in ₹ millions) from 2014 to 2018.


The total exports of cars of type B from 2015 to 2018 is what percentage more than the total exports of cars of type A from 2015 to 2018 ( correct to one decimal place)?

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Question 70

Chords AB and CD of a circle intersect externally at P. If AB = 7 cm, CD = 1 cm and PD = 5 cm, then 50% of the length of PA (in cm) is:

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