MATHS [2 Mark Question Answer]

Find the smallest number which when divided by 15, 20, 25 and 30 leaves 5 as remainder in each case.

Find the least number which is exactly divisible by each of the numbers 15,18 and 24.

Can there be two numbers having H.C.F. 12 and L.C.M. 64? Give reasons in support of your answer.

The product of two numbers is 3750 and their L.C.M. is 150. Find their H.C.F.

The product of two numbers is 2925 and their H.C.F. is 15. Find their L.C.M.

The H.C.F. of two numbers is 144 and their L.C.M. is 2880. If one of the numbers is 576, find the other.

The H.C.F. of two numbers is 23 and their L.C.M. is 276. If one of the numbers is 92, find the other.

An electronic device makes a beep after every 15 minutes. Another device makes a beep after every 20 minutes. They beeped together at 10 a.m. At what time will they make the next beep together?

Six bells commence tolling together and toll at intervals of 2, 4, 6, 8, 10 and 12 minutes respectively. After what interval of time will they toll together again?

Use H.C.F. to show that 357 and 1625 are co-primes.

Two vessels contain 104 litres and 91 litres of milk respectively. Find the measure of a bucket of maximum capacity which can measure the milk of either vessel an exact number of times.

Find the greatest number that will divide 76, 114 and 152 leaving the remainders 2, 3 and 4 respectively.

Find the greatest number that will divide 138, 183 and 423 leaving remainder 3 in each case.

Find the greatest number that will divide 37 and 53 leaving 5 as remainder in each case.

Find the greatest number that exactly divides 306, 450 and 540.

Find the greatest number that exactly divides 385 and 735.

Find the H.C.F. of the following numbers use prime factorisation method :
66, 102, 138

Find the H.C.F. of the following numbers use prime factorisation method :
144, 180, 198

Find the H.C.F. of the following numbers use prime factorisation method :
168, 216

Find the H.C.F. of the following numbers use prime factorisation method :
135, 180

Find the H.C.F. of the following numbers use prime factorisation method : 81, 108

Find the H.C.F. of the following numbers use prime factorisation method : 72, 96

Find the H.C.F. of the following numbers use prime factorisation method : 42, 63

Find the H.C.F. of the following numbers use prime factorisation method : 32, 56

Write all prime numbers between 70 and 100.

Write all prime numbers between 30 and 60.

Write down the factor of : 84

Write down the factor of : 63

Write down the factor of : 56

Write down the factor of : 40

Show that : 23 is not a factor of 2789.

Show that : 14 is not a factor of 2186.

Show that : 17 is a factor of 1241.

Show that : 15 is a factor of 1065.