SSC CGL 4 June 2019 Shift-2

If $$[8(x + y)^3 - 27(x - y)^3] \div (5y - x) = Ax^2 + Bxy + Cy^2$$, then the value of (A + B + C) is:

If the 8-digit number is 789x531y is divisible by 72, then the value of (5x — 3y) is:

The income of Raju is 20% more than his expenditure. If his income increases by 60% and his expenditure increases by 70%, then by what percent does his savings increase/decrease?

If $$\cos \theta = \frac{2p}{1 + p^2}$$, then $$\tan \theta$$ is equal to:

The average weight of a certain number of students in a class is 68.5 kg. If 4 new students having weights 72.2 kg, 70.8 kg, 70.3 kg and 66.7 kg join the class, then the average weight of all the students increases by 300 g. The number of students in the class, initially, is:

If x is subtracted from each of  23, 39, 32 and 56, the numbers so obtained, in this order, are in proportion. What is the mean proportional between (x + 4) and (3x + 1) ?

Renu bought an article for ₹1,240 and sold it at a loss of 25%. With this amount, she bought another article and sold it at a gain of 40%. Her overall percentage profit is:

$$\triangle$$ABC is similar to $$\triangle$$DEF . The area of $$\triangle$$ABC is 100 cm$$^2$$ and the area of $$\triangle$$DEF is 49 cm$$^2$$ If the altitude of $$\triangle$$ABC = 5 cm, then the corresponding altitude of $$\triangle$$DEF is:

A takes 30 minutes more than B to cover a distance of 15 km at a certain speed. But if A doubles his speed, he takes one hour less than B to cover the same distance. What is the speed (in km/h) of B?

How much iron sheet (in m$$^2$$) will be needed to construct a rectangular tank measuring 10 m $$\times$$ 8 m $$\times$$ 6 m,  if a circular opening of radius one meter is to be left at the top of the tank? (correct to one decimal place)