SSC CHSL 4th August 2021 Shift-2

Instructions

For the following questions answer them individually

Question 61

If a number 54k3 1m82is divisible by 11, what will be the maximum value of (k+m)?

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Question 62

If $$x - \frac{2}{x} = 4$$, then what will be the value of $$x^2 + \frac{4}{x^2}$$?

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Question 63

In triangle ABC, if BD and CD bisect $$\angle B$$ and $$\angle C$$, respectively, and $$\angle BDC = 135^\circ$$ , then find the measure of $$\angle BAC$$.

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Question 64

In a circle with centre O, PA and PB are the tangents at A and B,respectively, from an external point P. If $$\angle APB = 42^\circ$$, then what will be the measure of $$\angle AOB$$?

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Question 65

Study the given pie charts and answer the question that follows.
The pie charts represent the distribution of candidates who were enrolled for Bank Clerical Examination Fig (i) and the candidates (out of those enrolled) who passed the examination Fig (ii) in five different institutes P,Q. R, S and T.

(I) Total number of candidates enrolled in five different institutes = 5500

(II) Total number of candidates who passed the examination from five institutes = 3300


The ratio of the candidates who passed to the candidates enrolled from institute S is:

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Question 66

The number of students enrolled in different streams at Senior Secondary level in five schools has been shown in the bar graph.
What is the ratio of the number of students enrolled in the vocational stream in schools A, C and E taken together to those enrolled in the humanities stream in the schools B, D and E taken together?

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Question 67

If $$x^4 + \frac{1}{x^4} = 3842$$, then the positive value of $$x + \frac{1}{x}$$ will be:

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Question 68

The value of $$31\frac{2}{5} \div \left[168 \div \frac{3}{7} of 28 + \left(33 \div \frac{5}{2}\right) + \left(7\frac{3}{5} - 3\frac{2}{5}\right)\right]$$ is:

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Question 69

If $$\cosec \theta = \frac{41}{9}$$ and $$\theta$$ is an acute angle, then the value of $$5 \tan \theta$$ will be:

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Question 70

The volume of a metallic cylindrical pipe is 3564 cm$$^3$$. If its external radius is 12 cm and thicknessis 3 cm, then the length of the pipe will be:
(Take $$\pi = \frac{22}{7}$$)

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