SSC CHSL 7th June 2022 Shift-2

The average of five numbers, given in a particular order, is 32. The average of the first three numbers is 28, while that of the last three numbers is 34. What is the average of the first two numbers?

Select the correct identity from the following options.

Simplify
$$11.5 − \left[5 + 0.5 \times \left(9 − 3 \times 2\right)\right]$$

Find the principal amount if the interest compounded annually at the rate of 10% for two years is ₹4,200.

Which of the following numbers is NOT divisible by 75?

Tim is thrice as good a workman as Joya and together they finish a piece of work in 75 days. In how many days will Tim alone finish the work?

While selling an item, a businessman allows a 40% discount on the marked price and incurs a loss of 30%. If the item is sold at the marked price, profit will be _______.

If $$P\left(x\right) = \left(x^{3} - 8\right)\left(x + 1\right)$$ and $$Q\left(x\right) = \left(x^{3} + 1\right)\left(x - 2\right)$$, the LCM of P(x) and Q(x) is:

ABCD is a square of side 21 cm. A circle is inscribed in the square, which touches the sides of the square at P, Q, R and S as shown below in the figure. What is the area (in $$cm^{2}$$) of the non-shaded region? [Figure is not drawn to scale.]

($$\pi = \frac{22}{7}$$)

The area of two similar triangles XYZ and ABC are 361 $$cm^{2}$$ and 225 $$cm^{2}$$, respectively. If the longest side of the larger $$\triangle$$ XYZ be 38 cm, then what is the length (in cm) of the longest side of the smaller $$\triangle$$ ABC?