SSC CGL 6th Dec 2022 Shift-3

Instructions

For the following questions answer them individually

Question 61

The average of eight consecutive odd numbers is 48. Find the sum of the fifth and seventh numbers

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Question 62

The sides of a triangle are in the ratio $$\frac{1}{3}:\frac{1}{5}:\frac{1}{6}$$. If the perimeter is 147 cm, then the length of the smallest side is __________.

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Question 63

Solve the following to find its value in terms of trigonometric ratios.
$$(\sin A + \cos A)(1 - \sin A \cos A)$$

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Question 64

The ratio of the outer and the inner circumference of a circular path is 5 : 4. If path is 50 metres wide, then what is the radius of the inner circle?

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Question 65

If 2a + 3b = 10 and ab = 3, then find the value of $$4a^{2} + 9b^{2}$$.

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Question 66

Study the following table and answer the question that follows.


What is the average number of students who opted for other than statistics subject in school A and D?

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Question 67

If (4x - 7y ) = 11 and xy = 8. what is the rnlue of $$16x^{2} + 49y^{2}$$, given that x and y are positive numbers?

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Question 68

What is the smallest perfect square which is completely divisible by each of 16, 18 and 36?

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Question 69

If $$\sin \theta = \frac{1}{2}$$, then the value of $$(3\cos \theta - 4\cos^{3} \theta)$$ is:

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Question 70

Find the mean proportion of $$\frac{a^{2} + b^{2}}{a - b}$$ and $$\frac{a^{2} - b^{2}}{a^{2} - ab + b^{2}}$$

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