# N is the largest two digit number, which when divided by 3, 4 and 6 le

| N is the largest two digit number, which when divided by 3, 4 and 6 leaves the remainder 1, 2 and 4 respectively. What is the remainder when N is dividedby 5?

A. 4

B. 2

C. 0

D. 1

### Right Answer is: A

#### SOLUTION

Since we divide largest two digit numbers by 3, 4, 6 then it leaves remainder 1, 2, 4 respectively and common diff. is 2 in each case.

By the formula :

Required number = n*L.C.M. – common diff.

= n*L.C.M.(3,4,6) – 2

= n*12 – 2

We choose ‘n’ such that this number is the largest two digit number

= 96(largest such two digit no.) – 2 = 94

Required

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N is the largest two digit number, which when divided by 3, 4 and 6 le