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  • If the number 7254*98 is divisible by 22, the digit at * is (A) 1 (B) 2 (C) 6 (D) 0

Write the correct answer :

If the number 7254*98 is divisible by 22, the digit at * is

(A) 1     (B) 2     (C) 6      (D) 0

Answers (1)

(C) 6

22 =2x11

So the given number must be divisible by 11. If the difference of the sums of alternate digits of a number is 0 or a multiple of 11, then the number itself is divisible by 11.

(7+5+*+8)-(2+4+9) should be zero or multiple of 11

20+*-(15)  should be zero or multiple of 11

So 5+*=should be zero or multiple of 11

The nearest multiple is 11

There fore *=6

Posted by

Safeer PP

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