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Difficulty:
15%
(low)
Question Stats:
89% (01:15) correct
11%
(00:55)
wrong
based on 54
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How many prime numbers are there greater than 5 and less than the integer k?
(1) 20 < k < 34
(2) 17 < k < 33
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(1) 20 < k < 34
(2) 17 < k < 33
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
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Akp880
Joined: 23 Mar 2019
Last visit: 08 Nov 2021
Posts: 192
Location: India
Concentration: Marketing, Operations
Schools: IIMA PGPX'23 IIM
WE:Operations (Aerospace and Defense)
Schools: IIMA PGPX'23 IIM
Posts: 192
How many prime numbers are there greater than 5 and less than the integer k?
Explantion:
(S1) 20 < k < 34
k=21,22,23,....,33
as there can be thirteen different values of K hence not possible to tell exact no of primes b/w 5 and K
S1 insufficient.
(S2) 17 < k < 33
K=18,19,20,...,32
as there can be fifteen different values of K hence not possible to tell exact no of primes b/w 5 and K
S2 insufficient.
Combining S1 & S2
20<K<33
i.e K=21,22,....,32
as there can be twelve different values of K hence not possible to tell exact no of primes b/w 5 and K
Hence E is the correct answer IMO
Explantion:
(S1) 20 < k < 34
k=21,22,23,....,33
as there can be thirteen different values of K hence not possible to tell exact no of primes b/w 5 and K
S1 insufficient.
(S2) 17 < k < 33
K=18,19,20,...,32
as there can be fifteen different values of K hence not possible to tell exact no of primes b/w 5 and K
S2 insufficient.
Combining S1 & S2
20<K<33
i.e K=21,22,....,32
as there can be twelve different values of K hence not possible to tell exact no of primes b/w 5 and K
Hence E is the correct answer IMO
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