SSC CPO 10th Nov 2022 Shift 3

Instructions

For the following questions answer them individually

Question 111

If 86y5 is exactly divisible by 3, then the least value of y is:

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Question 112

Simplify the following: $$\left(1 + \cot2 \theta\right)\left(1 − \cos \theta\right)\left(1 + \cos \theta\right)$$

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Question 113

Two circles of radii 8 cm and 3 cm, respectively, are 13 cm apart. AB is a direct common tangent touch to both the circles at A and B respectively then the length of AB is

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Question 114

If the radius of a sphere increases by 10%, what would be the change in the surface area of the sphere?

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Question 115

Study the given table and answer the question that follows.

Production of masks (in million) by a company during the first half of 2020

In the case of Activated Carbon Masks, in which pair of months was the production equal?

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Question 116

In the given figure, MNP, SQP, NQR and MSR are straight lines. $$\angle NPQ = 54^{\circ}$$ and = $$\angle QRS = 68^{\circ}$$. What is the degree measure of $$\angle$$ SMN?

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Question 117

A and B run a 12 km race on a circular track of length 1200 m. They complete one round in 300 seconds and 400 seconds, respectively. After how much time from start will the faster person meet the slower person for the last time?

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Question 118

The perimeters of two similar triangles are 36 cm and 24 cm, respectively. Find the ratio of their areas.

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Question 119

Satish bought 35 notebooks for ₹700 and sold 28 of them for ₹600. Find his percentage gain

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Question 120

What is the greatest number of six digits, which when divided by each of 16, 24, 72 and 84, leaves the remainder 15?

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