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Cecilia, Robbie, and Briony all bought stamps. The number of

Expert replies
by AAPL » Mon Aug 13, 2018 5:44 am

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Difficulty—

Source: Veritas Prep

Cecilia, Robbie, and Briony all bought stamps. The number of stamps Cecilia purchased was equal to a single digit. The number of stamps only one of them purchased was divisible by 3. The number of stamps one of them bought was an even number. Which of the following could represent the number of stamps each purchase?

A. 3, 8, 24
B. 7, 9, 17
C. 6, 9, 12
D. 5, 15, 18
E. 9, 10, 13

The OA is E.
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Source: — Problem Solving |

by regor60 » Tue Aug 14, 2018 5:59 am
AAPL wrote:Source: Veritas Prep

Cecilia, Robbie, and Briony all bought stamps. The number of stamps Cecilia purchased was equal to a single digit. The number of stamps only one of them purchased was divisible by 3. The number of stamps one of them bought was an even number. Which of the following could represent the number of stamps each purchase?

A. 3, 8, 24
B. 7, 9, 17
C. 6, 9, 12
D. 5, 15, 18
E. 9, 10, 13

The OA is E.
The process of elimination seems to make sense here.

Cecilia bought a single digit number of stamps. All of the answer choices contain at least one single digit option, so no answers can be ruled out.

Only one purchase was divisible by 3. Therefore, answers A, C and D can be eliminated because they each contain more than one purchase that is divisible by 3.

This leaves B and E as potential answers.

Finally, there is one purchase that is an even number. Answer B contains no even numbers. Answer E has one even number, 10.

Answer: E
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by swerve » Tue Aug 14, 2018 9:47 am
Since in the question stem, it states as Only one of them Divisible by 3

We can straight away eliminate B because all are ODD.

A, C & D --> more than a number is divisible by 3. Hence eliminate.

E. Single digit number 9 and divisible by 3 we can take this. Hence E is the correct answer. Regards!
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by Jeff@TargetTestPrep » Sat Aug 18, 2018 6:44 pm
AAPL wrote:Source: Veritas Prep

Cecilia, Robbie, and Briony all bought stamps. The number of stamps Cecilia purchased was equal to a single digit. The number of stamps only one of them purchased was divisible by 3. The number of stamps one of them bought was an even number. Which of the following could represent the number of stamps each purchase?

A. 3, 8, 24
B. 7, 9, 17
C. 6, 9, 12
D. 5, 15, 18
E. 9, 10, 13
We are given that the number of stamps Cecilia purchased was equal to a single digit, the number of stamps only one of them purchased was divisible by 3, and that number of stamps one of them bought was an even number.

Looking at our answer choices, we need to find an answer choice that only has only one number that is a multiple of 3, so A, C, and D are not possible.

We are left with B and E. We see that in answer choice B none of the numbers are even, so that leaves us with the only possible correct answer of E: 9, 10, and 13.

Answer: E

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