SSC CHSL 5th August 2021 Shift-2

Instructions

For the following questions answer them individually

Question 51

The successive discounts 18% , 10% and 15% are equivalent to a single discount of:

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Question 52

If $$9x^2 - 6x + 1 = 0$$, then the value of $$27x^3 + (27x^3)^{-1}$$ will be:

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Question 53

Study the following graph and answer the question that follows.
Marks scored by five students A, B, C, D and E in three subjects (Maths, English and Physics)

What are the approximate average marks obtained by C?

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Question 54

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 6 cm. The perimeter is 60 cm. The length (in cm) of the lergest side of the triangle ABC is:

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Question 55

If $$\cos \theta = \frac{P^2 - 1}{P^2 + 1}, 0^\circ < \theta < 90^\circ$$, then $$\cosec \theta$$ is equal to:

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Question 56

What will be the compound interest (in ₹) on a s11m of ₹7,200 for 18 months at a ra te of 20% per annum. if the interest is compounded half-yearly (nearest to an integer)?

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Question 57

A circle is inscribed iu a triangle ABC. It touches sides AB, BC and AC at points R, P and Q, respectively. If AQ = 6.5 cm, PC = 7.5 cm and BR = 9 cm, then the perimeter(in cm) of the triangle ABC will be:

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Question 58

If $$(4x - 5)^3 + (x - 2)^3 + 27(2x - 5)^3 = 9(4x - 5)(x - 2)(2x - 5)$$, then the value of $$\left(x + \frac{3}{2}\right)$$ will be:

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Question 59

If $$9a^2 + 4b^2 + 49c^2 + 18 = 2(2b + 28x - 3a)$$, then the value of $$(a + 2b - c)$$ will be:

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Question 60

If $$7 \sin^2 \theta + 3 \cos^2 \theta = 4, 0^\circ < \theta < 90^\circ$$, then the value of $$\theta$$ will be:

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