SSC CHSL 19th April 2021 Shift-1

Instructions

For the following questions answer them individually

Question 61

The value of $$6 \times 3 \div 8 of 6 - 6 \div 4 \times (5 - 7) + 5 - 3 \times 4 \div 6 of 3$$ is:

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Question 62

A sum of ₹x amounts to ₹9,246 in 4 years and to ₹11,298.75 in $$7\frac{1}{2}$$ years, at y% p.a. simple interest. The values of x and y are, respectively:

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Question 63

Study the given graph and answer the question that follows.

The total number of computers of type A sold in January and Mayis what percentage less than the total number of computers of type B sold from March to May? (correct to one decimal place)

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Question 64

$$\frac{(1 + \cos \theta)(\cosec \theta - \cot \theta)\sec \theta}{\sin \theta(1 - \sin \theta)(\sec \theta + \tan \theta)} = ?$$

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Question 65

In $$\triangle ABC, DEF \parallel BC$$, where D and E are points on the sides AB and AC, respectively. If AD = 2cm,BD = 5.2 cm,AC = 9 cm and AE = x cm, then whatis the value of x ?

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Question 66

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

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Question 67

The area of a triangular field whose sides are 65 m. 72 m. and 97 m is equalto the area of a rectangular park whose sides are in the ratio of 5 ; 13. Whatis the perimeter (in m ) of the rectangular park?

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Question 68

A, B and C together can complete a work in x , 30 and 45 days, respectively. B and C worked together for 6 days. The remaining work was completed by A alone in 12 days. The value of x is:

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Question 69

If $$x + y + z = 3, x^2 + y^2 + z^2 = 45$$ and $$x^3 + y^3 + z^3 = 69$$, then what is the value of xyz ?

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Question 70

In $$\triangle ABC, D$$ and E are points on sides AB and BC, respectively, such that BD: DA = 1: 2 and CE: EB = 1: 4. If DC and AE intersect at F, then FD: FC is equal to:

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