SSC CPO 9th Nov 2022 Shift 1

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

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:

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

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

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 _________________.

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

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

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)

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

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).