Railway Aptitude Questions and Answers for Exams

A cylindrical container is filled with ice cream. Its diameter is 12 cm. and height is 15 cm. The whole ice cream is distributed among 10 children in equal cones having hemispherical tops. If the height of the conical portion is twice the diameter of its base, the diameter of the ice - cream cone is – 

The simple interest and the true discount on a certain sum for a given period and at a given rate are 25 and 20 respectively. The sum is 

Some litres of acid were drawn off a 54-litre vessel full of acid and an equal amount of water added. Again, the same volume of the mixture was drawn off and replaced by water. As a result, the vessel contained 24 litre of pure acid. How much of the acid was drawn off initially?

A mathematics teacher calculated the total marks obtained by 35 students of 8th class . The average marks of the students were 72. But 36 marks for Reena was calculated in place of 86 obtained by her. What was the correct average of all the students? 

A field is in the form of an equilateral triangle of side 100 m. A horse is tied to a vertex of the field, with a 15 m long rope. Over what area can the horse graze? 

The retail price of a water geyser is 1265. If the manufacturer gains 10 %, the wholesale dealer gains 15 % and the retailer gains 25 % , then the cost of the product is – 

A cistern can be filled by two pipes filling separately in 12 and 16 min respectively. Both pipes are opened together for a certain time but being obstructions, only 7/8 of full quantity water flows through the former and only 5/6 through the latter pipe. The obstructions, however, being suddenly removed, the cistern is filled in 3 minutes from that moment. How long was it obstructions before the full flow began? 

A right pyramid stands on a rectangular base whose sides are 24 cm and 18 cm and on the shorter side, the slant height is 17 cm. Find the volume of the pyramid.

Find the square root of  $$ {k+l+m+n+2\sqrt{ml+mk}+2\sqrt{mn}+2\sqrt{kn+ln}}$$

If x₁ and x₂ are the roots of the equations bx²-ax + log₂m^y=0 such that x₁²=a²+x₂² then evaluate the roots in terms of a and b.