A six-digit number is formed by repeating a three-digit number. For ex

1.	A six-digit number is formed by repeating a three-digit number. For example 256256, 678678, etc. Any number of this form is divisible by(a) 7 only (b) 11 only (c) 13 only (d) 1001
Answer» The correct answer is option (d) 1001 Explanation: From the given question, the number should be of the form abcabc So the general form of abcabc is 1000000a+100000b+1000c+100a+10b+c Now, abcabc = is 1000000a+100000b+1000c+100a+10b+c By simplifying the above expression, we will get abcabc = 1001(100a+10b+c) Hence, the six digit number should be divisible by 1001.

A six-digit number is formed by repeating a three-digit number. For example 256256, 678678, etc. Any number of this form is divisible by(a) 7 only (b) 11 only (c) 13 only (d) 1001

Answer»

The correct answer is option (d) 1001

Explanation:

From the given question, the number should be of the form abcabc

So the general form of abcabc is 1000000a+100000b+1000c+100a+10b+c

Now, abcabc = is 1000000a+100000b+1000c+100a+10b+c

By simplifying the above expression, we will get

abcabc = 1001(100a+10b+c)

Hence, the six digit number should be divisible by 1001.