## The length of the ladder

A ladder is placed in such a way that its foot is at a distance of 5m from a wall and its tip reaches a window 12m above the ground. Determine the length of the ladder.

## Select a two digit number

Monu and Sonu were playing number games. Monu asked Sonu to select a two digit number such that the sum of the digits is 11 and if the digits are interchanged then the new number must be 9 more than the original number. Which number can Sonu select?

## The dimensions of rectangular garden

A gardener told Neha that 42 m long wire would be required for fencing of her rectangular garden, whose breadth is half of its length. Neha needs to cross check the measurements. What are the dimensions of her garden?

## Number of games students play

Five students take part in a tournament. Each student has to play every other one. What number of games should they play?

## One root of the quadratic equation

If one root of the quadratic equation x^2 – 7𝓍 + k = 0 is 4, then find the value of k.

## Statistics – Range of Integers

Statistics – Range of Integers