sum of all the digits

[wishkaro]

What is the sum of all the digits in the number 9^27-27?
A. 81 B. 24 C. 28 D. 92 E. 100


OA [spoiler] A
9(9^26 – 3)
Sum of digits is always a multiple of 9. So A.[/spoiler]

[Vemuri]

What is the sum of all the digits in the number 9^27-27?
A. 81 B. 24 C. 28 D. 92 E. 100


OA [spoiler] A
9(9^26 – 3)
Sum of digits is always a multiple of 9. So A.[/spoiler]

Good question. Thanks for posting.

[avenus]

agree with the reasoning, but there's something wrong with this question:

9^27 - 27= 58 149737 003040 059690 390142

Sum of digits is 99, not 81

[Pranay]

9^27 results in a number which is a multiple of 9 and whose recursive sum of digits should be equal to 9.

27 is again a multiple of 9.

From my observation,

Any number which is a multiple of 9, has recursive sum of digits summed up to 9.

and

When a multiple of 9 is subtracted from another multiple of 9, the result is always a multiple of 9.

Since, the result is again a multiple of 9, from observation 1, only option A satisifies and matches my observation.

Thus, I conclude the answer to be A.
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Hope, it helps.

[satish.nagdev]

agree with the reasoning, but there's something wrong with this question:

9^27 - 27= 58 149737 003040 059690 390142

Sum of digits is 99, not 81

99 isn't given in answer choices !!!