SSC CGL 7th March 2020 Shift-2

Expand $$\left(\frac{x}{3} + \frac{y}{5}\right)^3$$

If 7 divided a positive integer n, the remainder is 2. Which ofthe following numbers gives a remainder of 0 when divided by 7?

The following table shows the annual profit of a company (in ₹lakh).

The period which has the maximum percentage increase in profit over the previous year is:

If $$3 \sec^2 \theta + \tan \theta = 7, 0^\circ < \theta <90^\circ$$, then the value of $$\frac{\cosec 2 \theta + \cos \theta}{\sin 2 \theta + \cot \theta}$$ is:

A contract is to be completed in 75 days and 187 men are to work 15 hours per day. After 65 days, $$\frac{3}{5}$$ of the work is completed. How many additional men may be employed, so that the work may be completed in time, each man now working 17 hours per day?

If $$a^2 + b^2 + c^2 = 300$$ and $$ab + bc + ca = 50$$, then what is the value of $$a + b + c$$ ? (Given that a, b and c are all positive.)

In $$\triangle ABC, D, E$$ and $$F$$ are the midpoints of sides AB, BC and CA, respectively. If AB = 12 cm, BC = 20 cm and CA = 15 cm, then the value of $$\frac{1}{2}(DE + EF + DF)$$ is:

The following table shows the percentage of marks obtained by seven students in six different subjects in an examination.

What are the average marks obtained by all the seven students in Physics? (rounded off to two digits after the decimal)

If x + y + z = 10 and xy + yz + zx = 15, then find the value of $$x^3 + y^3 + z^3 — 3xyz$$.

A sum lent out at compound interest amounts to ₹1,250 in one year and to ₹1,458 in 3 years at a certain rate percentage p.a. Whatis the simpleinterest on the same sum for $$5\frac{2}{5}$$ years at the samerate of interest?