SSC GD 6th Dec 2021 Shift-3

A fan is sold at 20% profit. If the cost price and selling price of the fan are decreased by 150, then there will be 5% more profit. Find out the actual cost price of the fan.

An amount of ₹5,800 is divided into three parts in such a way that half of the first part, one-fifth of the second part and three-eighth of the third part are equal. The value of the third part is:

Pipes A and B can fill a tank in 10 hours and $$13\frac{1}{3}$$ hours, respectively. Pipe C is an emptying pipe. When all the three pipes are opened together, the tank is filled in 8 hours. In how many hours will Pipe C alone empty 25% of the tank?

Simplify the following expression.
$$\frac{6\frac{1}{2} + 2\frac{5}{7}\times\frac{14}{19}-\frac{1}{2} \div2 of \frac{1}{4}}{11\times12\div12+12}$$

If a certain sum with compound interest becomes $$1\frac{1}{2}$$ times in 4 years, then in how many years will the same sum
become $$2\frac{1}{4}$$ times at the same rate of interest?

The marked price of an article is 250. It is sold for 164.70 after giving three successive discounts of 20%, 10 and $$x$$% on the marked price. What is the value of $$x$$?

When $$x$$ is added to each of the numbers 11 , 18, 27, 42, the numbers so obtained are in proportion. What is the mean
proportional between (11$$x$$ + 3) and (9$$x$$ - 2)?

A and B started simultaneously and proceeded towards each other from places X and Y, respectively. After meeting each
other at a certain point on the way, A and B took 3.2 hours and 1.8 hours, to reach Y and X, respectively. If the speed of B was 12 km/h, then the speed (in km/h) of A was:

If 15% of A is equal to 45% of B, then what percentage of A-B is A?

The total surface area of a solid cube is 294 $$cm^{2}$$. It is melted and recast into a right circular cylinder of radius 7 cm.
What is the height (in cm, correct io one decimal place) of the cylinder? (Taken $$\pi = \frac{22}{7}$$)