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feruz77
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What is the smallest number which when increased by 5 is com 23 Oct 2010, 04:19
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

15% (low)

Question Stats:

81% (01:19) correct 19% (01:25) wrong based on 438 sessions

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What is the smallest number which when increased by 5 is completely divisible by 8, 11 and 24?

A. 264
B. 259
C. 269
D. 270
E. 282
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B
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What is the smallest number which when increased by 5 is com 23 Oct 2010, 04:37
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LCM(8,11,24)=24x11=264

So the least divisible number is 264, and the number we are looking for is 259.

Answer is (b)
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What is the smallest number which when increased by 5 is com 12 Nov 2013, 14:06
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feruz77
What is the smallest number which when increased by 5 is completely divisible by 8, 11 and 24?
a) 264
b) 259
c) 269
d) 270
e) 282
Show more

Actually let's start with the smallest cause that's what the question is asking

So let's begin with B

259+5 = 264.

Now divisible by 3? Digits add to multiple of 3 so yes
Divisible by 8? Last two are divisible by 4 and result is divisible by 2 so yes
Divisible by 11? 2+4-6=0 is a multiple of 11 so yes again

Our best friend today is B

Hope it helps
Cheers!
J :)
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What is the smallest number which when increased by 5 is com 21 May 2015, 20:23
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Hi All,

This question includes a number of great Number Property shortcuts that you can take advantage of:

1) The question asks for the SMALLEST number that, when increased by 5 is divisible by 8, 11 and 24. Since the answers are numbers, we can TEST THE ANSWERS.
2) Any number that is divisible by 24 is ALSO divisible by 8, so we really just need to consider the 11 and the 24.
3) To be divisible by 24, the end number MUST be EVEN. Since we're adding 5 to get to that end number, the starting number MUST be ODD.

The last shortcut allows us to eliminate Answers A, D and E. Between Answers B and C, TESTING B first will prove that, when increased by 5, the end sum is divisible by both 11 and 24.

Final Answer:
Show Spoiler
B

GMAT assassins aren't born, they're made,
Rich
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What is the smallest number which when increased by 5 is com 07 Aug 2024, 11:34
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