SSC CGL 11th April 2022 Shift-2

Instructions

For the following questions answer them individually

Question 51

A, B and C started a business in partnership initially. A invested ₹29,000, while B and C invested ₹25,000 each. After 4 months. A withdrew ₹3,000. After 2 more months, C invested ₹12,000 more. Find the share of C (in ₹) in the profit of ₹33,200 at the end of the year.

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Question 52

If $$\cos\left(A - B\right) = \frac{\sqrt{3}}{2}$$ and $$\sec A, 0^{\circ} \leq A \leq 90^{\circ}, 0^{\circ} \leq B \leq 90^{\circ}$$ then what is the measure of B?

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Question 53

All alloy contains 40% of silver. 30% of copper and 30% of nickel. How much silver (in kg) should be added to 15 kg of the alloy so that lhe new alloy contains 50% of silver?

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Question 54

Study the given bar graph and answer the question that follows.
The bar graph shows the exports of cars of type A and B (in ₹ millions) from 2014 to 2018.

In which year were the exports of cars of type A ₹55 million less than the average exports (per year) of cars of type B  over the five years?

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Question 55

The given bar graph shows exports of cars of type A and B (in₹ millions) from 2014 to 2018. Study the graph and answer the question that follows.
Exports of Cars of Type A and B (in ₹ millions) from 2014-2018.

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The total exports of cars of type B in 2014 to 2017 is what per cent more than the total exports of cars of type A in 2015 to 2018? (Correct to one decimal place).

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Question 56

The given histogram shows the daily wages (in ₹) of workers in a factory.
Study the histogram and answer the question that follows.

The number of workers with daily wages less than ₹180 is what percentage of the number of workers with daily wages more than ₹190? Express your answer correct to one decimal place.

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Question 57

In a circle with centre O, chords PR and QS meet at the point T, when produced, and PQ is a diameter. If $$\angle ROS = 42^{\circ}$$ then the measure of $$\angle$$ PTQ is

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Question 58

O is the centre of a circle with diameter 20 cm. T is a point onside the circle and TA is a tangent to a circle. If OT is = 26 cm. what is the length (in cm) of the tangent TA?

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Question 59

Find the value of the following expression:
$$980 \div 35 \times 16 + 4 - 2 \times 2$$

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Question 60

What is the height (in cm) of an equilateral triangle whose each side is 8 cm?

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