QUESTION

CSAT

Easy

Maths

Prelims 2023

For any choices of values of X, Y and Z, the 6 digit number of the form XYZXYZXYZXYZ is divisible by:

Select an option to attempt

Explanation

XYZXYZ = XYZ000 + XYZ = XYZ (1000 + 1) = XYZ × 1001

Now, 1001 = 7 × 11 × 13

So, any number of the form XYZXYZ must be divisible by 7, 11 and 13.

Hence, option D is correct.

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