Math, asked by andanarjuna3534, 11 months ago

When a positive integer n is divided by 100, the remainder is the same as the quotient but when n is divided by 14, the remainder is 0. How many distinct integer values can n take if n is more than 1000 and less than 9999?

Answers

Answered by Shriyanshu06

0

Answer:

Let Q be the quotient as well as the remainder

Therefore the number = Q+100Q = 14K, in which K=positive integers

101Q=14K

LCM of 101 & 14 = 1414

Number of multiples of 1414 between 1000 & 9999 = 7

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