If the product of the digits of the two-digit positive integer n is 2,

Question

If the product of the digits of the two-digit positive integer n is 2, what is the value of n ?

(1) n is odd.

(2) n is greater than 20.

niks18 · Answer

as the product of digits of n is 2, so n could be 12 or 21

Statement 1: n is odd. so n=21. sufficient

Statement 2: n>20 so n=21. Sufficient

Option D

Raksat · Answer

From statement 1 
If N is odd . Then N has to be 21 (2x1=2) 
Sufficient
From statement 2 
if N> 20
still N = 21 (2X1=2)
hence D

Raksat · Answer

you mean D. There must be a typo

niks18 · Answer

Hi  Bunuel

Just a thought, if the question had not mentioned n to be a positive integer, then we could have had 4 scenarios for n= -21, -12, 12 & 21 and the question would have been a bit tricky. Do you have similar kind of question?

niks18 · Answer

Yup. thanks for highlighting

vrkr · Answer

I guess the answer is C.

n can be 12 or 21

(1) n is odd - n can be even or odd, insufficient
(2) n > 20 - n can be < 20 or > 20, insufficient

(1) + (2) = n is odd + n > 20 = 21, sufficient

ccooley · Answer

I'd recommend reviewing the steps of Data Sufficiency, using something like this: https://www.manhattanprep.com/gmat/blog ... ncy-works/. You've ended up approaching this one a little backwards. You aren't trying to test the statements to see whether they're true or not. You start by assuming that the statement you're working with is true. Then, based on that, you try to answer the question. When we work with statement 1, we start out by saying 'I know that n is odd.' n is definitely odd; the statement always tells the true. Now, you're wondering whether knowing that n is odd is enough information to narrow down the possible answers to just one right answer. In this case, it is. Since there were only two possible answers in the first place, 12 and 21, and statement (1) eliminates one of those two possible answers, it's sufficient.

vrkr · Answer

Got it! Thanks ccooley. Appreciate your detailed clarification.

If the product of the digits of the two-digit positive integer n is 2,

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GMAT Data Sufficiency (DS) Questions

If the product of the digits of the two-digit positive integer n is 2,

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