SSC CGL 7th Dec 2022 Shift-2

Instructions

For the following questions answer them individually

Question 61

Two concentric circles are drawn with radii 20 cm and 16 cm. What will be the length of a chord of the larger circle which is tangent to the smaller circle?

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Question 62

The circumference of the two circles is 308 cm and 440 cm respectively. What is the difference between their radii?

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Question 63

$$3[a - \frac{1}{a}] + [a - \frac{1}{a}]^{3} =$$?

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Question 64

How many numbers from 1 to 430 are divisible by 7 and 11 both?

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Question 65

In a partnership firm two partners, Vijay and Praveen are working on an ssignment. It will take 12 weeks for Vijay to complete the entire assignment alone, while Praveen will take 8 weeks to complete it alone. Due to work pressure, they decided to work on that assignment on the alternate week basis. In the first week Praveen will work and in the second week Vijay will work and so on. In how many weeks the work will be completed if they work on alternate week basis?

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Question 66

If 14 : 30 :: 7 : x, then what is the value of x?

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Question 67

A circle is inscribed in a ΔABC having sides AB = 16 cm, BC = 20 cm and AC = 24 cm, and side AB, BC and AC touches circle at D, E and F, respectively. The measure of AD is:

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Question 68

If $$\triangle ABC \sim \triangle DEF$$ such that 2AB = DE and BC = 8 cm, then the length of EF is:

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Question 69

Find the least number exactly divisible by 9,24 and 36.

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Question 70

If $$1 + \sin \theta = m\cos\theta$$, then what is the value of $$\sin \theta$$?

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