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25 Feb 2018, 11:15
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C
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Difficulty:
15%
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Question Stats:
70% (00:49) correct
30%
(00:49)
wrong
based on 131
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History
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David received his allowance on Sunday. He spends 1/4 of his allowance on Monday and 2/3 of the remainder on Tuesday. What part of his allowance is left for the rest of the week?
(A) 1/3
(B) 1/12
(C) 1/4
(D) 1/2
(E) 4/7
(A) 1/3
(B) 1/12
(C) 1/4
(D) 1/2
(E) 4/7
25 Feb 2018, 11:49
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Bunuel
let allowance = 40
he spends 1/4 on Monday = 40/40 = 10
remaining = 30
2/3 of remaining = 2/3 x 30 = 20
remaining = 10 i.e 1/4
(C) imo
26 Feb 2018, 00:56
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Let Total Allowance= x
Allowance spent on Monday= \(\frac{1}{4}\)x
Remaining= x-\(\frac{1}{4}\)x= \(\frac{3}{4}\)x
Allowance spent on Tuesday= \(\frac{3}{4}\)x*\(\frac{2}{3}\)= \(\frac{1}{2}\)x
Remaining= \(\frac{3}{4}\)x-\(\frac{1}{2}\)x=\(\frac{1}{4}\)x
Answer: C.
Allowance spent on Monday= \(\frac{1}{4}\)x
Remaining= x-\(\frac{1}{4}\)x= \(\frac{3}{4}\)x
Allowance spent on Tuesday= \(\frac{3}{4}\)x*\(\frac{2}{3}\)= \(\frac{1}{2}\)x
Remaining= \(\frac{3}{4}\)x-\(\frac{1}{2}\)x=\(\frac{1}{4}\)x
Answer: C.
