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A child bought candy that cost 85 cents. If the child only

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by BTGmoderatorLU » Fri Aug 03, 2018 2:43 pm

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Source: Veritas Prep

A child bought candy that cost 85 cents. If the child only had quarters, dimes, and nickels, did he paid using at least two quarters?

(1) The child used 8 coins.
(2) The child used 5 of one type coin.

The OA is E.
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Source: — Data Sufficiency |
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by deloitte247 » Thu Aug 09, 2018 6:26 am
9/()Quarters = 25 cents
Dimes = 10 cents
Nickels = 5 cent
Question ; Did he pay using at least two quarters?

Statement 1 ; The boy used 8 coins,
If he used 2 quarters coins,
(2 * 25) + (1 + 10) +(5 * 5)
50 + 10 + 25 = 85 coins.
If he used 1 quarter coin,
(1 * 25) + (5 * 10) + (2 * 5)
25 + 50 + 10 = 85 coins
It is possible for the boy to have used 1 quarter coin.
Hence, Statement 1 is NOT SUFFICIENT.

Statement 2; The boy used 5 of one type of coin.
5 of quarters = 5 * 25 = 125, it is greater than 85 cents, so it is not possible.
5 of Dimes = 5 * 10 = 50, the boy have to use at least 2 quarters, so it is not possible.
Hence, making statement 2 insufficient.

Because of the possibility of solving statement 1 with many combinations, combining statement 1 and 2 together will not be SUFFICIENT.
Option E is the correct answer.
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