Ajay Kumar Solutions for Chapter: Numerical Ability, Exercise 2: Practice set

One day, three clock towers in a city struck $12$ at exactly the same time. It was almost unbelievable since one of the clocks loses $12$ minutes each day, one gains $10$ minutes each day, and the third keeps perfect time. How many days until all three clocks show the same time again?

Find the least number which when divided by $20, 25, 35, 40$ leaves remainder $14, 19, 29, 34$ respectively.

How many pairs of positive integers have G.C.D. $20$ and L.C.M. $600$ ?

(G.C.D.$=$Greatest Common Divisor, L.C.M.$=$Least Common Multiple)

Three satellites are vertically aligned above the North pole. One satellite orbits the earth in $12$ hours, another orbits the earth in $15$ hours, while the third satellite orbits the earth in $8$ hours. In how long will the satellites again be vertically aligned above the North pole?

The capacity of two drums is $120$ litres and $56$ litres respectively. The capacity of a container which can exactly measure of the two drums, is

Amit, Bijender and Chandu go walking round a circle $1$ km in circumference at the rates of $10$ m/min, $20$ m/min and $40$ m/min respectively. If they all start together and walk in the same direction, when will they be together at the same place?

In a colony of $100$ blocks of flats numbering $1$ to $100$, a school van stops at every sixth block while a school bus stops at every tenth block. On which stops will both of them stop if they start from the entrance of the colony?

A gardener was asked to plant flowers in a row containing an equal number of plants. He tried to plant $6, 8, 10$ and $12$ in each row, but $5$ plants left in each case but when he planted $13$ in a row, no plant was left. Find the least number of plants with him.