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03 Aug 2017, 06:30
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
85%
(hard)
Question Stats:
46% (02:23) correct
54%
(02:16)
wrong
based on 160
sessions
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Not Attempted Yet
Hello all—
Another new (original) problem for your enjoyment and pleasure.
__
If m, n, and p are three-digit integers such that \(m + n = p\), what is the tens digit of m ?
(1) The tens digits of n and p are equal.
(2) The units digit of n is greater than the units digit of p.
(A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
(B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
(C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
(D) EACH statement ALONE is sufficient.
(E) Statements (1) and (2) TOGETHER are NOT sufficient.
Another new (original) problem for your enjoyment and pleasure.
__
If m, n, and p are three-digit integers such that \(m + n = p\), what is the tens digit of m ?
(1) The tens digits of n and p are equal.
(2) The units digit of n is greater than the units digit of p.
(A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
(B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
(C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
(D) EACH statement ALONE is sufficient.
(E) Statements (1) and (2) TOGETHER are NOT sufficient.
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Updated on: 03 Aug 2017, 20:03
Originally posted by sarathgopinath on 03 Aug 2017, 07:02.
Last edited by sarathgopinath on 03 Aug 2017, 20:03, edited 3 times in total.
Last edited by sarathgopinath on 03 Aug 2017, 20:03, edited 3 times in total.
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RonPurewal
We are calculating the tens digit of m.
(1)Tens digit of n and p are equal.
m + n = p and the tens digit of n and p are equal.
It could be possible in two ways.
Case1: tens place of m is 0.
If m = 301 and n= 513, m + n = 814=p.
Tens digit of n and p are equal and the tens digit of m here is 0.
If m = 301 and n= 523, m + n = 824=p.
Tens digit of n and p are equal and the tens digit of m here is 0.
Case2: tens place of m=9 and there is a carry over from the addition of the units digit of m and n.
If m=196 and n=246, m+n= 442 = p.
Tens digit of n and p are equal and the tens digit of m here is 9.
Clearly statement 1 is not sufficient.
(2) Units digit of n is greater than the units digit of p.
For the units digit of n to be greater than that of p, there should definitely be a carry from the units digit addition.
If m=336 and n = 255. m+n= 591 =p; Tens digit of m is 3.
If m = 326 and n = 255, m + n = 571; Tens digit of m is 2.
Since we are getting multiple answers, the statement is not alone sufficient.
Now if we combine both the statements, we already know from the second statement that there should be a carry from the units digit addition.
From the first statement, we know that if there is carry, then for units digit of n and p to be equal, tens place of m should be 9.
: Sufficient.
So after combining, we get a definite answer. So answer should be
General Discussion
03 Aug 2017, 06:50
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Are we sure this is a correct question.
For statement 1 - If n and p have equal tens digits then m<10, and the tens digit is zero. That seems to be sufficient.
For statement 1 - If n and p have equal tens digits then m<10, and the tens digit is zero. That seems to be sufficient.
