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12 May 2022, 07:15
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
52% (02:10) correct
48%
(02:32)
wrong
based on 60
sessions
History
Date
Time
Result
Not Attempted Yet
A room is 4 m 37 cm long and 3 m 23 cm broad. It is required to pave the floor with minimum square slabs. Find the number of slabs required for this purpose.
(A) 485
(B) 431
(C) 391
(D) 381
(E) 371
(A) 485
(B) 431
(C) 391
(D) 381
(E) 371
12 May 2022, 13:21
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The room is 437cm x 323cm.
We need to find the greatest common factor of those two dimensions, but that seems like it's going to take some trial and error with the numbers given, and I'm not a fan of having to divide by things like 13 and 17. If that's what you want to do, go for it! I'll provide another way to think about how to find a greatest common factor when the numbers are wonky.
Make two columns on your scratch paper. Put the two dimensions at the top of each column. Now, just continually subtract whichever number is smaller from whichever number is larger and write down the results. Keep doing this until you get the same number in each column. That's your greatest common factor (yes, this technique works any time you're trying to find the greatest common factor).
437 ... 323 ... subtract the smaller (323) from the larger (437) to get the next row
114 ... 323 ... subtract the smaller (114) from the larger (323) to get the next row
114 ... 209 ... etc.
114 ... 95
19 . . . 95
19 . . . 76
19 . . . 57
19 . . . 38
19 . . . 19
So, the greatest common factor is 19, and that's the length of a side of each of the square pavers.
437/19 is 23, so we have 23 tiles in one direction.
323/19 is 17, so we have 17 tiles in the other direction.
23*17 is 391.
Answer choice C.
We need to find the greatest common factor of those two dimensions, but that seems like it's going to take some trial and error with the numbers given, and I'm not a fan of having to divide by things like 13 and 17. If that's what you want to do, go for it! I'll provide another way to think about how to find a greatest common factor when the numbers are wonky.
Make two columns on your scratch paper. Put the two dimensions at the top of each column. Now, just continually subtract whichever number is smaller from whichever number is larger and write down the results. Keep doing this until you get the same number in each column. That's your greatest common factor (yes, this technique works any time you're trying to find the greatest common factor).
437 ... 323 ... subtract the smaller (323) from the larger (437) to get the next row
114 ... 323 ... subtract the smaller (114) from the larger (323) to get the next row
114 ... 209 ... etc.
114 ... 95
19 . . . 95
19 . . . 76
19 . . . 57
19 . . . 38
19 . . . 19
So, the greatest common factor is 19, and that's the length of a side of each of the square pavers.
437/19 is 23, so we have 23 tiles in one direction.
323/19 is 17, so we have 17 tiles in the other direction.
23*17 is 391.
Answer choice C.
24 Apr 2024, 12:04
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Automated notice from GMAT Club BumpBot:
A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.
This post was generated automatically.
A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.
This post was generated automatically.
