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What is the value of x ? (1) x is the sum of two distinct

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by BTGmoderatorDC » Tue May 28, 2019 1:11 am

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What is the value of x ?

(1) x is the sum of two distinct prime numbers between 25 and 40.
(2) The sum of the distinct prime factors of x is 19.

OA C

Source: Princeton Review
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Source: — Data Sufficiency |
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by swerve » Tue May 28, 2019 9:29 am
Statement \(1:3\) prime numbers are there \(29, 31, 37\), we cannot say which 2 numbers are being added together. So, not sufficient.

Statement \(2: 2+17= 19\).
But we know 19 is the sum of distinct prime factors. So repetition of 2 or 7 may be happening which we are not aware of. So not sufficient.

Statement 1 & 2 together:
\(31+37= 68= 2\cdot 2\cdot 17\)

Hence the value of x is 68
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