If t is the sum of three consecutive positive integers, is t a multiple of 24?
(1) The smallest of the 3 integers is even.
(2) t is a multiple of 3.
The OA is A.
Is there a strategic approach to this question? Can anyone help? I appreciate your help!
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If t is the sum of three consecutive positive integers, is t
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Let the three consecutive integers be x, x+1 and x+2.AAPL wrote:If t is the sum of three consecutive positive integers, is t a multiple of 24?
(1) The smallest of the 3 integers is even.
(2) t is a multiple of 3.
Thus:
t = x + (x+1) + (x+2) = 3x + 3 = 3(x+1).
Statement 1:
Since x = even, get get:
t = 3(EVEN + 1) = ODD*ODD = ODD.
An odd integer has no even factors.
Since t is odd and thus has no even factors, it cannot be divisible by 24, which is even.
Thus, the answer to the question stem is NO.
SUFFICIENT.
Statement 2:
The prompt itself implies that t = 3(x+1) = multiple of 3.
Since Statement 2 merely repeats this information, INSUFFICIENT.
The correct answer is A.
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I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
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