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Find the largest 4-digit number which is completely divisible by 66.
Question

Find the largest 4-digit number which is completely divisible by 66.

A.

6754

B.

9436

C.

9867

D.

9966

Correct option is D

Given:

We need the largest 4-digit number divisible by 66.

Solution:

Required number = 999966×66\left\lfloor \frac{9999}{66} \right\rfloor \times 66​​

=151.5= \left\lfloor 151.5 \right\rfloor 

Now,  taking the integer value

151×66=9966 151 \times 66 = 9966 

Thus, the largest 4-digit number divisible by 66 is 9966

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