The sum of the digits of a $3$ digit number is subtracted from the number. The resulting number is always

Divisible by

6

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Not divisible by

6

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Divisible by

9

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Not divisible by

9

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Solution

The correct option is C Divisible by $9$
$L e t x, y a n d z b e t h e d i g i t s o f t h e g i v e n n u m b e r . ∴ T h e n u m b e r i s 100 x + 10 y + z . S u m o f t h e d i g i t s i s x + y + z ∴ T h e d i f f e r e n c e b e t w e e n t h e n u m b e r a n d t h e s u m o f t h e d i g i t s i s 100 x + 10 y + z - (x + y + z) = 99 x + 9 y = 9 (11 x + y) ∴ T h i s i s d i v i s i b l e b y 9. A n s w e r - 9$

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Similar questions

The sum of the digits of a number is subtracted from the number, the resulting number is always divisible by:

26492518

3

9

3

(a) 6, (b) 9

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