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Bunuel
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An old man distributed his estate worth x dollars to his three sons 03 May 2024, 01:30
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Difficulty:

45% (medium)

Question Stats:

66% (01:39) correct 34% (01:54) wrong based on 134 sessions

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­An old man distributed his estate worth x dollars to his three sons Allen, Tommy, and Peter. Who received the smallest part of the estate?

(1) Allen got 4/5 of what Tommy got and 3/5 of what Peter got.
(2) Peter got 5/4 of what Tommy got and Tommy got 100 dollars more than what Allen got.


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D
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Jsgambach
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An old man distributed his estate worth x dollars to his three sons 03 May 2024, 05:05
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(1) Allen got 4/5 of what Tommy got and 3/5 of what Peter got.

This statements clearly implies that Allen got less than Tommy, and also less than Peter. Hence Allen received the smallest part.
SUFFICIENT.

(2) Peter got 5/4 of what Tommy got and Tommy got 100 dollars more than what Allen got.

In this statement we get the information that Peter got more than Tommy, who at the same time got more than Allen, so A<T<P.
SUFFICIENT.

ANS D
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An old man distributed his estate worth x dollars to his three sons 03 May 2024, 05:12
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­Let Allen = a, Tommy = t & Peter = P.

(1) Allen got 4/5 of what Tommy got and 3/5 of what Peter got.

Allen: \(a = \frac{4}{5}t\)

Tommy: \(t = t\)

Peter: \(\frac{3}{5}p = t\)

\(p = \frac{5}{3}t\)

From the three Allen received the smallest amount.

SUFFICIENT


(2) Peter got 5/4 of what Tommy got and Tommy got 100 dollars more than what Allen got.

Peter: \(p = \frac{5}{4}t\)

Tommy: \(t = t\)

Allen: \(a = t - 100\)

From the three Allen received the smallest amount.

SUFFICIENT


ANSWER D


­
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