SSC CHSL 4th August 2021 Shift-3

Instructions

For the following questions answer them individually

Question 51

When $$(2^{24} - 1)$$ is divided by 7, the remainder is:

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Question 52

If $$a + b + c = 7$$ and $$a^3 + b^3 + c^3 - 3abc = 301$$, then $$ab + bc + ca = ?$$

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Question 53

Study the given graph and answer the question that follows.

By what percentage is the total exports in 2014 and 2016 less than the total imports in the same two years?

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Question 54

Ina circle with centre O , chord AB and diameter CD intersect each otherat pointE , inside the circle. If $$\angle AOD = 42^\circ$$ and $$\angle BOC = 104^\circ$$, then what is the measure (in degrees) of $$\angle AED$$?

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Question 55

If $$x^2 - 3\sqrt{2}x + 1 = 0$$, then what is the value of $$x^3 + \left(\frac{1}{x^3}\right)$$?

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Question 56

If $$x^2 + 1 - 2x = 0, x > 0$$, then $$x^2(x^2 - 2) = .........$$

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Question 57

Chords AB and CD of a circle intersect externally at P. If CD = 11.6 cm, PD = 6.4 cm and PB = 7.2 cm, then AB (in cm) is equal to:

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Question 58

If $$2 \cos^2 \theta = 3(1 - \sin \theta), 0^\circ < \theta < 90^\circ$$, then what is the value of $$(\tan 2 \theta + \cosec 3 \theta - \sec 2 \theta)$$?

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Question 59

The value of $$8 \div 2 of 3 - [56 \div 4 of \left\{4 \times 3 - (9 - 11) \div (2 \div 4 of 4)\right\}]$$ is:

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Question 60

The perimeters of two similar triangles ABC and PQRare 156 cm and 46.8 cm, respectively. If BC = 19.5 cm and QR = x cm, then the valueof x is:

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