Mathematics - MOST IMPORTANT SSC GD Previous Year Questions

A dishonest shopkeeper sells goods to a customer at a profit of T% over the cost price and also weighs 800$\displaystyle \text{ g}$ instead of 1$\displaystyle \text{ kg}$. His total profit percentage is 40%. What is the value of T?

Pipes A and B can empty a full tank in 16 hours and 24 hours, respectively. Pipe C alone can fill the empty tank in 4 hours. If A, B and C are opened together, then 35% tank will be filled in.

There is a leak in a tank which empties it in 6 hours. A tap is turned on which fills the tank with 10 liters of water per minute. When it is full, it now takes 10 hours to empty. What is the capacity (in litres) of the tank?

A dog takes $\displaystyle 5\text{ leaps}$ for every $\displaystyle 6\text{ leaps}$ of a hare, but $\displaystyle 4\text{ leaps}$ of the dog are equal to $\displaystyle 5\text{ leaps}$ of the hare. The ratio of the speed of dog and hare is:

A train of length $\displaystyle 640\text{ m}$ crosses another train of length $\displaystyle 920\text{ m}$ in $\displaystyle 24$ seconds. Two trains are running in opposite direction. If the speed of both the trains is same, what is the speed of the two trains?

Which type of numbers are NOT co-prime?

Which of the following pairs of numbers are relatively prime?

Four prime numbers are arranged in ascending order. The product of the first three numbers is 255 and that of the last three is 1955. The largest prime number is: