SSC CGL 13th Dec 2022 Shift-1

Instructions

For the following questions answer them individually

Question 61

A is 20% more efficient than B. How much time will they working together take to complete a job which A alone could have done in 29 days?

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Question 62

When $$m^{12} - 1$$ is divided by m + 1, the remainder is:

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Question 63

If $$\theta$$ is an acute angle and $$\tan \theta + \cot \theta = 2$$, then the value of $$\tan^{200} \theta + \cot^{200} \theta$$ is:

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Question 64

Which of the following statement is correct?
I. If x = 12, y= -2 and z = -10, then $$x^3 + y^3 + z^3 = 360$$.
II. If x + y = 48 and 4xy = 128, then $$4x^2 + 4y^2 = 4480$$.

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Question 65

Study the given graph and answer the following question.

The number of lecturers recruited in state B in the year 2019 was what percentage of the number of lecturers recruited in state C in the year 2021? (Correct to 2 decimal places.)

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Question 66

The number of units manufactured by a company A was 12500 units in 2019 and 10625 units in 2020. While in company B, the production fell from 34000 units in 2019 to 30600 units in 2020. If X and Y are the percentage decrease in the number of units manufactured by company A and B respectively from 2019 to 2020, then what will be the ratio of X and Y?

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Question 67

The monthly income of Mr. Roy is Rs.18,000. He took a loan of Rs.30,000 on simple interest for 3 years at the rate of 5% per annum. The amount that he will be paying as simple interest in 3 years is what percent of his monthly salary?

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Question 68

Determine the LCM of two numbers if their HCF is 9 and their ratio is 14 : 19.

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Question 69

The table given below shows the number of salesman in five companies.

Number of salesman in J is what percent of the number of salesman in K?

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Question 70

$$\triangle ABC \sim \triangle DEF$$ and the perimeters of these triangles are 32 cm and 12 cm, respectiwly. If DE = 6 cm, then what will be the length of AB?

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