SSC CPO 9th Nov 2022 Shift 1

Instructions

For the following questions answer them individually

Question 131

The value of $$\frac{\sqrt[3]{-2744}\times\sqrt[3]{-216}}{\sqrt[3]{\frac{64}{729}}}$$ is:

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Question 132

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

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Question 133

The value of $$(1018)2 - 1019 \times 1017 + 1015 \times 1012 - 1016 \times 1011$$ is:

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Question 134

A number, when divided by 15 and 18 every time, leaves 3 as a remainder, the least possible number is:

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Question 135

Marks scored by a student in different subjects are given in the table below


Five marks are to be deducted from each subject due to shortage of attendance. The net average of the mean, median and mode of the marks obtained is _________________.

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Question 136

A mixer marked at Rs.2,300 is sold for Rs.2,024. What is the percentage of discount?

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Question 137

Simplify the following.
$$81^{\frac{3}{4}}+\left[(20\div5 of 3 \times 6) + \left\{(8 \div 24 of 3) \times 4\right\} -10\div 5\right] - \left(\frac{1}{32}\right)^{-\frac{2}{5}}$$

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Question 138

The following table shows the number of students of seven colleges participating in extra co-curricular
activities.

Read the table and answer the question given.


Percentage of the number of students in activity II to that of IV is: (consider up to two decimals)

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Question 139

Determine the total surface area of a hemisphere closed at bottom. Radius of the hemisphere is $$\sqrt{25}{\pi}$$ unit.

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Question 140

The ratio between the height and radius of the base of a cylinder is 7 : 5. If its volume is 14836.5 $$cm^{3}$$, then find its total surface area (take π = 3.14).

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