SSC CGL 2nd Dec 2022 Shift-2

In an election between two candidates, the defeated candidate secured 42% of the valid votes polled and lost the election by 7,68,400 votes. If 82,560 votes were declared invalid and 20% people did NOT cast their vote, then the invalid votes were what percentage (rounded off to 1 decimal place) of the votes which people did NOT cast?

If the side of an equilateral triangle is 24 cm, then what is its area?

Study the following cha1t and answer the question that follows.

The chart shows the quantity of substances (Pl , P2, P3) in different drugs (A, B, C, D).

Which substance is/are most used in terms of quantity in all drugs?

Find the weighted arithmetic mean of the first ‘n’ natural numbers, the weights being the corresponding numbers.

A district has 10,24,000 inhabitants. If the population increases at the rate 2.5% per annum, find the number of inhabitants at the end of three years.

A takes twice as much time as B and thrice as much time as C to finalise a task. Working together, they can complete the task in 8 days. The time (in days) taken by A, B and C, respectively, to complete the task is:

Simplify $$\frac{x^{2}+2x+y^{2}}{x^{3}-5x^{2}}$$ if $$x+\frac{y^{2}}{x}=5$$

If the diameter of a hemisphere is 28 cm, then what is the volume of hemisphere?

If $$a + b = 5$$ and $$ab = 6$$ , then find $$3(a^{2}+b^{2})$$.

In $$\triangle ABC$$, AB = AC, O is a point on BC such that BO = CO and OD is perpendicular to AB and OE is perpendicular to AC. If $$\angle BOD=60^{0}$$, then measure of $$\angle AOE$$ is: