SSC CHSL 5th August 2021 Shift-3

Instructions

For the following questions answer them individually

Question 61

Study the given bar graph and answer thee question that follows.
The bar graph shows the production of table fans in a factory during one week.

The average production of table fans on Friday and Saturday exceeds the average production of table fans during the week by:

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Question 62

In a triangle ABC, if BD and CD bisect $$\angle B$$ and $$\angle C$$, respectively, and $$\angle A = 100^\circ$$, then find $$\angle BDC$$.

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Question 63

Two circles of radii 4 cm and 3 cm, respectively, touch each other externally. What is the distance (in cm.) berween their centres?

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Question 64

A number P is 20% more ihan a number Q but 10% less than a number R. What percentage is number Q of number R?

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Question 65

If $$\cos \theta = \frac{7}{3\sqrt{6}}$$ and $$\theta$$ is an acute angle, then the value of $$27 \sin^2 \theta - \frac{3}{2}$$ is:

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Question 66

During his morning walk. Atul walks for 45 minutes at a speed of 8 km/h and takes 15 rounds of a park. Shekhar takes 10 rounds of the same park in 40 minutes. What is the speed of Shekhar in km/h?

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Question 67

For $$A = 30^\circ$$, find the value of: $$\frac{-3 \sin^2 2A + 2 \sec^2 A - \tan \frac{3A}{2}}{\frac{1}{3} \sin 3A}$$

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Question 68

Find the value of $$\theta$$, if $$\sec^2 \theta + (1 - \sqrt{3})\tan \theta - (1 + \sqrt{3}) = 0$$, where $$\theta$$ is an acute angle.

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Question 69

How many spherical bullets. each bullet being 7 cm in diameter, can be made out of a cube of lead whose edge measmes 77 cm?(Take $$\pi = \frac{22}{7}$$)

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Question 70

The distance between two equal parallel chords of a circle is 10 cm. If the chords are 24 cm long, then what is the length of the radius?

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