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What is the least integer that is a sum of four different primes each

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What is the least integer that is a sum of four different primes each  [#permalink]

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New post 08 Jun 2016, 03:52
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

87% (01:05) correct 13% (01:52) wrong based on 159 sessions

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What is the least integer that is a sum of four different primes each  [#permalink]

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New post 08 Jun 2016, 03:56
5
3
Given integer must be a sum of 4 primes each greater than 20. Thus each prime must be odd.

Therefore sum of Odd + Odd + Odd + Odd = Even

Only Even option is 120

Therefore Ans: C

To verify

120 = 23 + 29 +31 +37
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Re: What is the least integer that is a sum of four different primes each  [#permalink]

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New post 08 Jun 2016, 09:19
Bunuel wrote:
What is the least integer that is a sum of four different primes each greater than 20?

A. 79
B. 83
C. 120
D. 133
E. 169


Four Prime numbers greater than 20 are 23, 29, 31, 37

Their sum = 120

Or, in given options all the options are odd except option C

We know that all the prime numbers >20 will be odd

hence, odd+odd+odd+odd= even
C is the answer
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Re: What is the least integer that is a sum of four different primes each  [#permalink]

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New post 09 Jun 2016, 07:23
Bunuel wrote:
What is the least integer that is a sum of four different primes each greater than 20?

A. 79
B. 83
C. 120
D. 133
E. 169



Prime numbers > 20 ...means All FOUR have ODD unit digit

ODD+ODD+ODD+ODD =Even

scanning choices

Answer: C
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Re: What is the least integer that is a sum of four different primes each  [#permalink]

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New post 19 Sep 2018, 09:48
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Re: What is the least integer that is a sum of four different primes each &nbs [#permalink] 19 Sep 2018, 09:48
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