SSC CGL 8th Dec 2022 Shift-3

Instructions

For the following questions answer them individually

Question 61

Find the HCF of 4.08 and 6.63.

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Question 62

Which of the following will satisfy $$a^{2} = b^{2} + (ab)^{2}$$ for the values a and b?

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Question 63

7 is added to a certain number and the sum is multiplied by 5. The product is then divided by 3 and 4 is subtracted from the quotient. If the result comes to 16, then what is the original number?

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Question 64

$$\theta = 135^{\circ}; γ = 15^{\circ}$$.
What is the value of $$2 \cos(\theta) \sin(γ)$$?

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Question 65

If $$abc = 5$$, what is the value of $$\left(\frac{1}{1 + a + b^{-1}} + \frac{1}{1 + b + 5 c^{-1}} + \frac{1}{1 + \frac{c}{5} + a^{-1}}\right)$$?

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Question 66

If $$\sec x - \cos x = 4$$, then what will be the value of $$\frac{(1+\cos^{2} x)}{\cos x}$$?

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Question 67

Study the given graph and table and answer the following question.
Data of different states regarding population of states in the year 1998

Total population of the given states = 32760000

What was the ratio of the number of females in Arunachal Pradesh to the number of females in Uttar Pradesh ?

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Question 68

The radius of a circle is 5 cm. Calculate the length of a tangent drawn to this circle from a point at a distance of 10 cm from its centre.

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Question 69

A hollow sphere has an outer radius of 6 cm and inner radius of 3 cm. What is the volume of this hollow sphere?

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Question 70

A certain amount will become six times in 20 years. How long does it take for the same amount to become 5 times? Assume the same rate of simple interest in each case.

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