SSC CPO 5th Oct 2023 Shift 1

The sides of a rectangle are in the ratio of 3 : 8 and its area is 1944 $$cm^{2}$$. What is its perimeter?

A and B complete a work in 24 and 30 days, respectively, working 10 hours per day. The work is to be done in two shifts. The morning shift is for 6 hours and the evening shift is for 4 hours. On the first day, A works in the morning and B works in the evening, and they interchange their shifts every day. On which day did the work get completed?

If $$\sin A = \frac{\sqrt{3}}{2}, 0 < A < 90^{\circ}$$, then find the value of $$2(\cosec A + \cot A)$$

The height and the radius of the base of a right circular cone are in the ratio of 12 : 5. If
its volume is 314 $$cm^{3}$$, then what is the slant height of the cone? (Use $$\pi = 3.14$$)

Three numbers are in the ratio of 5 : 7 : 9 and their LCM is 34,650. Their HCF is:

Which is the largest number that divides each of 1036, 1813 and 3885 without leaving any remainder?

If $$A = \frac{2}{3}$$, then find the value of $$(7 - \tan A)(3 + \cos A)$$.

In an election between two candidates, 20% of the voters on the voters list did not cast their votes and 80 voters cast their ballot papers blank. The winner secured 45% of all the voters in the list and he got 280 votes more than his rival. The number of voters on the list was:

Find the LCM of 73 and 657.

In a circle, chords AB and CD intersect internally at E. If CD = 18 cm, DE = 5 cm, AE = 13 cm, then the length of BE is: