An ascending series of numbers satisfies the following conditions: i. When divided by 3, 4, 5 or 6, the number

Question

An ascending series of numbers satisfies the following conditions:

i. When divided by 3, 4, 5 or 6, the numbers leave a remainder of 2.
Ii. When divided by 11, the numbers leave no remainder.

The 6th number in this series will be:

Accepted Answer

3542. L.C.M. of 3,4,5,6 = 60 Number is of the form = 60 k 1 + 2 60 k_1 + 2 60 k 1 ​ + 2 -------------(i) When divided by 11, it leaves 0 remainder so number will also be of the form = 11 k 2 11 k_2 11 k 2 ​ ---------(ii) Hence equating (i) and (ii), we get, 60 k 1 + 2 = 11 k 2 60k_1 + 2 = 11k_2 60 k 1 ​ +

An ascending series of numbers satisfies the following conditions: i. When divided by 3, 4, 5 or 6, the numbers leave a remainder of 2.Ii. When divided by 11, the numbers leave no remainder. The 6th number in this series will be:

An ascending series of numbers satisfies the following conditions: i. When divided by 3, 4, 5 or 6, the numbers leave a remainder of 2.Ii. When divided by 11, the numbers leave no remainder. The 6th number in this series will be:

An ascending series of numbers satisfies the following conditions:

i. When divided by 3, 4, 5 or 6, the numbers leave a remainder of 2.
Ii. When divided by 11, the numbers leave no remainder.

The 6th number in this series will be:

An ascending series of numbers satisfies the following conditions:

i. When divided by 3, 4, 5 or 6, the numbers leave a remainder of 2.
Ii. When divided by 11, the numbers leave no remainder.

The 6th number in this series will be: