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23 Dec 2014, 10:01
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Tough and Tricky questions: Word Problems.
Q is a set of four distinct prime numbers. If the sum of the integers in Q is even and the number x is a member of Q, then what is the least value that x can be?
A. 2
B. 3
C. 4
D. 5
E. 7
Kudos for a correct solution.
beattheheat
Joined: 20 Feb 2013
Last visit: 08 Aug 2022
Posts: 66
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Given Kudos: 45
Location: India
Schools: IIMA (D) SPJ PGPM"16 (A)
GMAT 1: 690 Q49 V34
WE:Information Technology (Computer Software)
23 Dec 2014, 10:29
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Sum of the 4 Prime integers in set Q is even, implies none of the number is even (as there is only one even prime number).
So the least value of any number in set Q is 3 , Answer B
So the least value of any number in set Q is 3 , Answer B
23 Dec 2014, 10:38
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X should be the least prime no.
So,
2+3+5+7=17...............Odd
2+3+5+11=21...............Odd Now something rang in my empty head sum of odd+even=odd and sum of odd+odd=even
lets try all odd then
3+5+7+11=16 ............ bingo 3 is the answer
So,
2+3+5+7=17...............Odd
2+3+5+11=21...............Odd Now something rang in my empty head sum of odd+even=odd and sum of odd+odd=even
lets try all odd then
3+5+7+11=16 ............ bingo 3 is the answer
