SSC CHSL 3rd June 2022 Shift-3

If the areas of three adjacent faces of a cuboidal box are 729 $$cm^{2}$$, 529 $$cm^{2}$$ and 289 $$cm^{2}$$ , respectively, then find the volume of the box.

Which of the following numbers is divisible by 3?

If a, b, c are positive real numbers, what is the value of $$\sqrt{a^{-1} b} \times \sqrt{b^{-1} c} \times \sqrt{c^{-1} a}$$

An authorised rice dealer purchases rice at ₹32 per kg and sells it at ₹40 per kg. But while selling, he is giving only 900 grams instead of 1 kg. Find the actual profit percentage of the dealer (Correct to one decimal place)

When the price of an article was reduced by 25%, its sale was increased by 75%. Calculate the net effect on revenue.

A person runs at an average speed of 20 km/h for 30 minutes and cycles at a speed of 32 km/h for 1 hour 15 minutes. Calculate the average speed (in km/h, rounded off to 1 decimal place).

The average of 25 numbers is 18. The average of the first 12 of these numbers is 14 and that of the last 12 of these numbers is 17. The $$13^{th}$$ number is:

Simplify:
$$2\left[8p + 5 \left\{n-2\left(n-\overline{n + p}\right) + 4p\right\}\right]$$

In a school, students using school bus, bike and bicycle for transport are in the proportion 6 : 3 : 1. If the total strength of the school is 1200, find the number of students who use bicycle for transport. (Each student uses only one of the given 3 modes of transport)

Which of the following options does NOT give the lengths of three sides of any triangle?