SSC CHSL 20th March 2023 Shift-2

If $$\sin m + \sin n = p, \cos m + \cos n = q$$, then find the value of $$\sin m \times \sin n + \cos m \times \cos n$$.

Two medians NA and OB of $$\triangle$$NOP intersect each other at S at right angles. If NA = 15 cm and OB = 15 cm, then what is the length of OA?

A certain sum becomes 4 times of itself in 5 years at a rate of simple interest. In 15 years in will become how many times of itself at the game rate of simple interest?

O is the incentre of the $$\triangle$$PQR. If $$\angle$$POR = 120 degree, then what is the $$\triangle$$POR ?

What is the least possible value of p for which a number 84ppl 53p is divisible by 9?

If $$m^{2} - n^{2} = 2l$$ and m - n = 3 find the value of m + n.

P's income is 150 percent of Q's income and P's expenditure is 60 percent of Q's expenditure. If Q saves 20 percent of his income, then how much percentage does P save of his own income?

If a + b = 24 and 8ab = 256, then what is the value of $$3a^{2} + 3b^{2}$$?

On selling 14 notebooks a seller makes a profit equal to the selling price of 9 notebooks. Find his percent profit (selling price of all notebooks is same. Cost price of all notebooks is same).

The line graph shows the Production (in crores) of three companies over years. Find the year in which total production in company Z is 30 percent more than that of company X.