SSC CGL 4th March 2020 Shift-3

Instructions

For the following questions answer them individually

Question 61

Four men and 6 women can complete a certain piece of work in 5 days whereas three men and 4 women can complete it in 7 days. How many men should assist 25 women to complete $$2\frac{1}{2}$$ times the same work in 5 days?

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Question 62

In $$\triangle ABC, \angle B = 72^\circ$$ and $$\angle C = 44^\circ$$. Side BC is produced to D. The bisectors of $$\angle B$$ and $$\angle ACD$$ meet at E. What is the measure of $$\angle BEC$$?

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Question 63

In $$\triangle ABC, AC = 8.4 cm$$ and $$BC = 14 cm$$. P is a point on AB such that CP= 11.2 cm and $$\angle ACP = \angle B$$. What is the length (in cm) of BP?

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Question 64

If $$2x^2 + y^2 + 8z^2 - 2\sqrt{2}xy + 4\sqrt{2}yz - 8zx = (Ax + y + Bz)^2,$$ then the value of $$(A^2 + B^2 - AB)$$ is:

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Question 65

How many numbers are there from 200 to 800 which are neither divisible by 5 nor by 7?

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Question 66

The value of $$\frac{8 \div [(8 - 3) \div \left\{(4 \div 4 of 8) + 4 - 4 \times 4 \div 8\right\} - 2]}{8 \times 8 \div 4 - 8 \div 8 of 2 - 7}$$ is:

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Instructions

The given table represents the production of different types of motorcycles (in thousands) over a period of six years. Study the table carefully and answer the question that follows.

Question 67

What is the percentage increase in the total production of all types of motorcycles from 2014 to 2018?

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Question 68

By what percentage is the total production of type A motorcycles over six years, less than the total production of all types of motorcycles in 2013 and 2016?

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Instructions

For the following questions answer them individually

Question 69

Two circles of radii 7 cm and 5 cm intersect each other at A and B, and the distance between their centres is 10 cm. The length (in cm) of the common chord AB is:

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Question 70

If the selling price of an article is 8% more than the cost price and the discount offered is 10% on the marked price of the article, then what is the ratio of the cost price to the marked price?

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