SSC CPO 11th Nov 2022 Shift 3

Instructions

For the following questions answer them individually

Question 101

A car starts at 3 p.m.at a speed of 50 km/h. Another car follows it at 4 p.m.at a speed of 75 km/h. At what time will the two cars will meet?

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Question 102

The area of a trapezium shaped field is 1785 square feet. The distance between the two parallel sides is 35 feet and one of the parallel sides is 42 feet long. What is the length of the other parallel side?

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Question 103

The LCM and ratio of three numbers are 1386 and 3 : 7 : 11, respectively. The sum of the greatest and least numbers is:

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Question 104

If $$1 + \sin^2 \theta - 3 \sin \theta \cos \theta = 0$$, then the value of $$\cot \theta$$ is:

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Question 105

If $$\cos^4 \alpha - \sin^4 \alpha = \frac{5}{6}$$, then the value of $$2 \cos^2 \alpha - 1 = ----------$$

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Question 106

Number of units manufactured (M) and number of units sold (S) (in hundred) by a company over the years.

What is the average number of units sold by the company per year?

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Question 107

If the number 55pl067q9 is exactly divisible by 99 then pq is equal to:

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Question 108

In a circle of radius 5 m, AB and CD are two equal and parallel chords of length 8 m each. What is the distance between the chords?

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Question 109

Simplify the following expression.
$$25 \div 5$$ of $$12 \times 2 − 9 \div 27$$ of $$3 \times 5 − 14 \div 28 \times 4$$

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Question 110

In $$\triangle ABC, 2 \angle A = 3 \angle B = 6 \angle C$$. What is the value of the largest angle among these three angles?

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