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# The total value of the coins in a piggy bank is 1 dollar.

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General GMAT Forum Moderator
Joined: 29 Jan 2015
Posts: 1136
Location: India
WE: General Management (Non-Profit and Government)
The total value of the coins in a piggy bank is 1 dollar.  [#permalink]

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30 Jan 2019, 05:10
1
00:00

Difficulty:

55% (hard)

Question Stats:

47% (02:06) correct 53% (01:25) wrong based on 18 sessions

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The total value of the coins in a piggy bank is 1 dollar. If each of the coins could be 1cent, 5cent, 10cent, 25cent or 50cent, which of the following cannot be the number of the coins in the piggy bank?

I. 76

II. 81

III. 91

(A) I only

(B) II only

(C) III only

(D) I and II only

(E) I and III only

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Manager
Status: Manager
Joined: 27 Oct 2018
Posts: 165
Location: Malaysia
Concentration: Strategy, International Business
GPA: 3.67
WE: Pharmaceuticals (Health Care)
Re: The total value of the coins in a piggy bank is 1 dollar.  [#permalink]

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31 Jan 2019, 14:22
rohan2345 wrote:
The total value of the coins in a piggy bank is 1 dollar. If each of the coins could be 1cent, 5cent, 10cent, 25cent or 50cent, which of the following cannot be the number of the coins in the piggy bank?

I. 76
II. 81
III. 91

(A) I only
(B) II only
(C) III only
(D) I and II only
(E) I and III only

I couldn't clearly figure out the takeaways behind it,
but by simple assumptions, I got that:
75 coins from 1 cent + 1 coin from 25 cent = 100 cent with 76 coins
90 coins from 1 cent + 1 coin from 10 cent = 100 cent with 91 coins

so B IMO.
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Re: The total value of the coins in a piggy bank is 1 dollar.   [#permalink] 31 Jan 2019, 14:22
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# The total value of the coins in a piggy bank is 1 dollar.

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