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What is the value of the odd three-digit integer \(y\)?

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by swerve » Wed Aug 28, 2019 12:21 pm

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What is the value of the odd three-digit integer \(y\)?

1) The sum of the three digits of \(y\) is 4.
2) The three-digit integer \(y\) is greater than 150.

The OA is E

Source: Veritas Prep
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Source: — Data Sufficiency |

by Brent@GMATPrepNow » Wed Aug 28, 2019 12:32 pm
swerve wrote:What is the value of the odd three-digit integer \(y\)?

1) The sum of the three digits of \(y\) is 4.
2) The three-digit integer \(y\) is greater than 150.

The OA is E

Source: Veritas Prep
Target question: What is the value of the odd three-digit integer y?
When I SCAN the two statements, they both feel insufficient, AND I'm pretty sure I can identify some cases with conflicting answers to the target question. So, I'm going to head straight to......

Statements 1 and 2 combined
There are at least values of y that satisfy BOTH statements:
Case a: y = 211 (Number is odd. Sum of digits = 4. Number is greater than 150). In this case, the answer to the target question is y = 211
Case b: y = 301 (Number is odd. Sum of digits = 4. Number is greater than 150). In this case, the answer to the target question is y = 301
Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT

Answer: E

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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