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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # If n and s are each 2-digit positive integers, is n greater than s ?

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Math Expert V
Joined: 02 Sep 2009
Posts: 59268
If n and s are each 2-digit positive integers, is n greater than s ?  [#permalink]

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Difficulty:   15% (low)

Question Stats: 93% (00:35) correct 7% (00:34) wrong based on 28 sessions

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If n and s are each 2-digit positive integers, is n greater than s ?

(1) The units digit of n is greater than the units digit of s.
(2) The tens digit of n is greater than the tens digit of s.

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Re: If n and s are each 2-digit positive integers, is n greater than s ?  [#permalink]

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Bunuel wrote:
If n and s are each 2-digit positive integers, is n greater than s ?

(1) The units digit of n is greater than the units digit of s.
(2) The tens digit of n is greater than the tens digit of s.

(1) The units digit of n is greater than the units digit of s.
Case 1: (n, s) = (17, 22) --> n < s
Case 2: (n, s) = (27, 22) --> n > s
--> Two outcomes are possible --> Insufficient

(2) The tens digit of n is greater than the tens digit of s.
Case 1: (n, s) = (37, 22) --> n > s
Case 2: (n, s) = (31, 22) --> n > s
--> n is always greater than s --> Sufficient

IMO Option B Re: If n and s are each 2-digit positive integers, is n greater than s ?   [#permalink] 20 Oct 2019, 02:03
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# If n and s are each 2-digit positive integers, is n greater than s ?  