LCM and HCF Tes...

The smallest positive number which leaves a remainder of 1 when it is divided by 3, 4, 5 or 7 is

What is the least number by which 825 must be multiplied in order to produce a multiple of 715?

HCF of 4 × 27 × 3125; 8 × 9 × 25 × 7 and 16 × 81 × 5 × 11 × 49 is

What is the smallest sum of money which contains an integral number of $2.50, $20, $1.20 and $7.50 each?

Find the least square number which is exactly divisible by 4, 5, 6, 15 and 18.

From 3 drums of milk, 27 L, 33 L and 45 L are to be drawn. To do it in the minimum number of repetitions, the capacity of the measuring can should be

Two cyclists are preparing for the Olympics. The first cyclist takes 10 minutes to cover one full round, whereas the second cyclist takes 9 minutes. Find the time when they will both be together at the starting point, if they both start simultaneously.

A heap of coconuts is divided into groups of 2, 3 or 5 and each time, no coconut is left over. Find the least number of coconuts in the heap.

Four bells ring at intervals of 6, 8, 12 and 18 seconds. They start ringing simultaneously at 12 o'clock. How many times will they ring simultaneously in 6 minutes?

An electric wire is sold only in multiples of 1 m and a customer requires several lengths of wire, each 85 cm long. To avoid any wastage and to minimise labour, he should purchase a minimum length of

Three men start together to walk along a road at the same rate. The lengths of their strides are 68 cm, 51 cm and 85 cm. How far will they go before they are "IN STEP" again?

Find the smallest weight which can be divided into exact number of parcels weighing 9 kg, 12 kg, 16 kg and 18 kg.

The HCF and LCM of two numbers are 13 and 455 respectively. If one of the numbers lies between 75 and 125, find that number.

There are 408 boys and 312 girls in a school. They are to be divided into equal sections of either boys or girls alone. Find the total number of sections that can be formed.

Find the greatest number which will divide 1625, 2281 and 4218 leaving 8, 4 and 5 as remainders respectively.

There are 408 boys and 312 girls in a school who are to be divided into groups of either boys or girls alone with each group having the same strength. Find the largest number of boys or girls that can be placed in a group.

The LCM of two numbers is (a + b) and their HCF is k(a - b). If one of the numbers is 'k', then the other number is

Six bells commence tolling together and toll at the intervals of 2, 4, 6, 8, 10 and 12 seconds, respectively. How many times will they toll together in 30 minutes?

How many numbers less than 10,000 are divisible by each of the numbers 21, 36, 66?

There are 1323 peaches, 2457 apricots and 3024 apples are to be piled up into heaps of equal number of fruits, without mixing the different types. Find the greatest possible number of fruits in a heap.

The smallest number by which 72 should be multiplied in order that the resulting number is exactly divisible by both 27 and 48, is

How many times is the HCF of 48, 36, 72 and 24 contained in their LCM?

Find the least number which when divided by 8, 12 and 16, leaves 3 as remainder in each case, but when divided by 7 leaves no remainder.

What least number should be added to 3,500 to make it exactly divisible by 42, 49, 56 and 63?

Find the least number which, when divided by 72, 80 and 88, leaves remainders 52, 60 and 68, respectively.