SSC CGL 5th Dec 2022 Shift-4

Instructions

For the following questions answer them individually

Question 61

A certain sum amounts to ₹3,640 in 2 years and ₹4,060 in 8 years at simple interest.
Find the approximate rate percentage per annum?

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Question 62

If $$8\cot \theta = 6$$, then the value of $$\frac{\sin \theta + \cos \theta}{\sin \theta - \cos \theta}$$ is:

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Question 63

The following chart shows the scores of employees in a company's annual performance.


What is the percentage of Kartik's score out of the total score of all the employees?

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Question 64

Three cubes of equal volume are joined end to end . Find the surface area of the resulting cuboid if the diagonal of the cube is $$6\sqrt{3}$$ cm.

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Question 65

If $$\tan A = 12$$ , then the value of $$\cos A =$$_______.

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Question 66

The LCM of the two numbers is 4104 and the HCF is 9. If one of the numbers is 171, find the other.

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Question 67

If $$x^{2} − 2xy = 84$$ and $$x − y = −10$$, then the value of y is:

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Question 68

There are 3 taps A, B, and C in a tank. These can fill the tank in 10 hours, 20 hours and 25 hours, respectively. At first, all three taps are opened simultaneously. After 2 hours, tap C is closed and A and B keep running. After 4 hours from the beginning, tap B is also closed. The remaining tank is filled by tap A alone. Find the percentage of work done by tap A itself

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Question 69

Prasad goes 96 kilometres on a bike at a speed of 16 km/h, 124 kilometres at 31 km/h in a car, and 105 kilometres at 7 km/h in a horse cart. Find his average speed for the entire distance travelled.

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Question 70

Apples were purchased at 100 for Rs.350 and sold at Rs.48 a dozen. What is the profit or loss percentage?

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