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

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Math Expert
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V
Joined: 02 Sep 2009
Posts: 53832
How many prime integers are greater than 8/3 and smaller than 47/4?  [#permalink]

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New post 08 Mar 2019, 01:25
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

64% (00:47) correct 36% (00:34) wrong based on 13 sessions

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Director
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D
Joined: 18 Jul 2018
Posts: 762
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
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Re: How many prime integers are greater than 8/3 and smaller than 47/4?  [#permalink]

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

3,5,7,11

4 prime numbers.

D is the answer.
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Joined: 04 Jan 2015
Posts: 2722
Re: How many prime integers are greater than 8/3 and smaller than 47/4?  [#permalink]

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New post 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.

Answer: 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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