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What is the greatest integer that is a sum of four different prime num

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Bunuel
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What is the greatest integer that is a sum of four different prime num [#permalink] New post   06 Nov 2018, 00:16
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What is the greatest integer that is a sum of four different prime numbers, each less than 30 ?

A. 67
B. 88
C. 98
D. 104
E. 126
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B
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BrentGMATPrepNow
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Re: What is the greatest integer that is a sum of four different prime num [#permalink] New post   26 Jun 2021, 06:04
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Bunuel wrote:
What is the greatest integer that is a sum of four different prime numbers, each less than 30 ?

A. 67
B. 88
C. 98
D. 104
E. 126


We need to find the 4 biggest primes that are less than 30.
They are: 29, 23, 19 and 17
29 + 23 + 19 + 17 = 88

Answer: B
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Re: What is the greatest integer that is a sum of four different prime num [#permalink] New post   06 Nov 2018, 01:24
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Bunuel wrote:
What is the greatest integer that is a sum of four different prime numbers, each less than 30 ?

A. 67
B. 88
C. 98
D. 104
E. 126


prime less than 30:

2 3 5 7 11 13 17 19 23 29

Add last 4 : 17 + 19 +23 + 29 = 88

The best answer is B.
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Re: What is the greatest integer that is a sum of four different prime num [#permalink] New post   26 Jun 2021, 07:50
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As we want the sum of prime numbers less than 30, we eliminate answer option E, since the sum of these 4 numbers cannot be more than 120.

Since we want the greatest sum, we take the greatest prime numbers that are less than 30. The 4 prime numbers which we have to consider are 29, 23, 19 and 17.
Therefore, the greatest integer that’s a sum of these primes = 29 + 23 + 19 + 17 = 88

The correct answer option is B.

Hope that helps!
Aravind B T
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Re: What is the greatest integer that is a sum of four different prime num [#permalink] New post   06 Nov 2018, 01:28
Prime Number less than 30:
29,23,19,17
Sum of above: 88
Answer: B
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Re: What is the greatest integer that is a sum of four different prime num [#permalink] New post   25 Oct 2020, 14:15
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Bunuel wrote:
What is the greatest integer that is a sum of four different prime numbers, each less than 30 ?

A. 67
B. 88
C. 98
D. 104
E. 126

Solution:

The 4 largest prime numbers that are less than 30 are 29, 23, 19 and 17. Thus, the greatest integer that is a sum of four different prime numbers, each less than 30, is:

29 + 23 + 19 + 17 = 88

Answer: B
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Re: What is the greatest integer that is a sum of four different prime num [#permalink] New post   26 Oct 2020, 02:43
Bunuel wrote:
What is the greatest integer that is a sum of four different prime numbers, each less than 30 ?

A. 67
B. 88
C. 98
D. 104
E. 126

Count reverse from 30 -

\(29 + 23 + 19 + 17 = 88\), Answer must be (B)
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Re: What is the greatest integer that is a sum of four different prime num [#permalink]
26 Oct 2020, 02:43
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