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If m is a three-digit positive odd integer such that the sum of its di 15 Sep 2020, 03:00
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If m is a three-digit positive odd integer such that the sum of its digits is 11, what is the value of m?

(1) The hundreds digit of m is 9.
(2) The tens digit of m is 1.
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If m is a three-digit positive odd integer such that the sum of its di Updated on: 15 Sep 2020, 03:16
Originally posted by rajatchopra1994 on 15 Sep 2020, 03:06.
Last edited by rajatchopra1994 on 15 Sep 2020, 03:16, edited 1 time in total.
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Explanation:

I didn't read the odd number. So updating my answer

Given: Sum of its digits is 11, m is 3 digit odd number
To find: the value of m?

Statement1 : The hundreds digit of m is 9.
tens digit & unit place digits can be 1,1 only
m=911
Not Sufficient

Statement2 : The tens digit of m is 1.
Hundreds digit & unit place digits can be 5,5 ; 9,1; 1,9 ....
m can have different values.
Not Sufficient

IMO-A
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If m is a three-digit positive odd integer such that the sum of its di 15 Sep 2020, 03:11
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(1) The hundreds digit of m is 9.

So m is 9xy where y is odd (1,3,5,7 or 9).

If y is 3, then the sum of digits of m is at least 12

So y must be 1 which means that x must also be 1

So m=911

1 is sufficient

(2) The tens digit of m is 1.

m can be 911 or 119

2 is not sufficient

Answer is (A)

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If m is a three-digit positive odd integer such that the sum of its di 15 Sep 2020, 03:25
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It says that m is a 3 digit positive Odd integer. So the units digit must be one of the following: 1, 3, 5, 7, 9

Statement 1: Hundreds digit of m is 9.
The sum of digits is 11. So, we can only add 2. The only possible value is 911 (since it has to be an odd integer).

Hence, Sufficient.

Statement 2: The tens digit of m is 1.
If there is 1 in the tens digit, then there can be multiple values of m such as, 713, 614, 812, 911 etc.

Hence, Not Sufficient.

The answer will be A.
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If m is a three-digit positive odd integer such that the sum of its di 15 Sep 2020, 05:37
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If m is a three-digit positive odd integer such that the sum of its digits is 11, what is the value of m?

(1) The hundreds digit of m is 9.
(2) The tens digit of m is 1.

Explanation:

S1: The hundreds digit of m is 9
So m=9ab

Given that m is odd positive integer means b is 1,3,5,7,9

Also given sum of digits of m =11
9+a+b=11
a+b=2
Only possible combination (for m to be an odd positive int) of a,b is (1,1)

So m=911

S1 is sufficient.

S2: The tens digit of m is 1
m=a1b

Given that m is odd positive integer means b is 1,3,5,7,9

Also given sum of digits of m =11
a+1+b=11
a+b=10

No unique combination of a,b.Multiple combinations possible such as (1,9)(9,1)(3,7)(7,3) etc

so multiple values of m= 119 or 911 or 317 or 713 etc.

S2 is insufficient.

Hence A is the correct answer.

Regards,
Atul Pandey

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