SSC CHSL 9th August 2021 Shift-2

Instructions

For the following questions answer them individually

Question 61

Simplify the following expression.
$$\frac{52 + 1170 \div 26 + 13 \times 2}{2 + 1\frac{1}{8} of 2 - 1\frac{1}{4}}$$

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Question 62

If $$5 \cos \theta = 4 \sin \theta, 0^\circ \leq \theta \leq 90^\circ$$, then what will be the value of $$\sec \theta$$?

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Question 63

If $$x + y = 27$$ and $$x^2 + y^2 = 425$$, then the value of $$(x - y)^2$$ will be:

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Question 64

AB is the diameter of a circle of radius 9 cm. PQ is a chord (not a diameter) that intersects AB at M perpendicularly. If AM : BM = 5 : 4, then the length of chord PQ will be:

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Question 65

The speed of a car is 40% more than thatof a bus. A train covers 1020 km in $$8\frac{1}{2}$$ hours. How much distance will the car cover in $$1\frac{3}{4}$$ hours if the speed of the busis half the speed of the train?

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Question 66

In a right-angled triangle ABC right angled at C, $$\sin A = \sin B$$. What is the value of $$\cos A$$?

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Question 67

Study the given graph and answer the question that follows.

By what percentage (approximately)is the average number of vehicles of type B produced in 2014, 2016 and 2018 less than the number of vehicles of type A produced in 2017?

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Question 68

If two numbers are in the ratio 4 : 7 and the sum of their cubes is 407000, then the greater number will be:

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Question 69

The average pass percentage of girls in class X examination in a school is 85% and that of boys is 83%. The average pass percentage ofall boysandgirls in class X ofthat schoolis 83.7%. Find the percentage of the numberofgirls in class X of that school.

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Question 70

AB is 12 cm long chord of a circle with centre O and radius 10 cm. The tangents at A and intersect at P. Whatis the length of OP?

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