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# How many prime integers are greater than 8/3 and smaller than 47/4?

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Math Expert
Joined: 02 Sep 2009
Posts: 58453
How many prime integers are greater than 8/3 and smaller than 47/4?  [#permalink]

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08 Mar 2019, 01:25
00:00

Difficulty:

25% (medium)

Question Stats:

68% (00:41) correct 32% (00:36) wrong based on 24 sessions

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How many prime integers are greater than 8/3 and smaller than 47/4?

A. 1
B. 2
C. 3
D. 4
E. 5

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Location: India
Concentration: Finance, Marketing
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Re: How many prime integers are greater than 8/3 and smaller than 47/4?  [#permalink]

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08 Mar 2019, 01:32
8/3 = 2.66
47/4 = 11.75

3,5,7,11

4 prime numbers.

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e-GMAT Representative
Joined: 04 Jan 2015
Posts: 3074
Re: How many prime integers are greater than 8/3 and smaller than 47/4?  [#permalink]

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08 Mar 2019, 01:35

Solution

To find:
• The number of prime integers, which are greater than 8/3 and smaller than 47/4

Approach and Working:
If p denotes a prime integer in that given range, then we can say
• 8/3 < p < 47/4
Or, 2.67 < p < 11.75

Now, in that given range, prime integers are 3, 5, 7 and 11
Therefore, 4 values are possible for p.

Hence, the correct answer is option D.

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Re: How many prime integers are greater than 8/3 and smaller than 47/4?   [#permalink] 08 Mar 2019, 01:35
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