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04 Aug 2021, 05:45
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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:
75%
(hard)
Question Stats:
61% (02:55) correct
39%
(02:46)
wrong
based on 127
sessions
History
Date
Time
Result
Not Attempted Yet
A merchant has 435 litres, 493 litres and 551 litres of three different kinds of milk. Find the least number of casks of equal size required to store all the milk without mixing.
(A) 61
(B) 51
(C) 49
(D) 47
(E) 45
(A) 61
(B) 51
(C) 49
(D) 47
(E) 45
04 Aug 2021, 06:58
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Explanation:
435- 3x5x29
493- 17x29
551- 19x29
HCF of 435, 493, 551 - 29
No. of casks = 435/29 + 493/29 + 551/29
= 15 + 17 + 19
= 51
IMO-B
435- 3x5x29
493- 17x29
551- 19x29
HCF of 435, 493, 551 - 29
No. of casks = 435/29 + 493/29 + 551/29
= 15 + 17 + 19
= 51
IMO-B
07 Aug 2021, 07:49
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Bunuel
Note the differences are 58. Then we know the GCF has to be a factor of 58, and it has to be odd so we likely have a GCF of 29. 435 = 290 + 145 is a multiple of 29, so all the numbers are multiples of 29.
435/29 = (290 + 135)/29 = 15. Then we know the other ones result in 17 and 19 when we divide by 29. The sum would be 17*3 = 51.
Ans: B
