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08 Jun 2018, 04:22
Kudos
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C
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Difficulty:
35%
(medium)
Question Stats:
76% (01:59) correct
24%
(02:00)
wrong
based on 84
sessions
History
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Not Attempted Yet
If x < 50, Is Positive Integer x a Prime Number?
1) When x is divided by 4 the remainder is 3
2) x is divisible neither by 3 nor by 5
Source: www.GMATinsight.com
1) When x is divided by 4 the remainder is 3
2) x is divisible neither by 3 nor by 5
Source: www.GMATinsight.com
08 Jun 2018, 07:59
Kudos
Bookmarks
GMATinsight
Note:
1. x is positive and integer
2. x< 50
Need to find out whether x is a prime number.
statement 1: when x is divided by 4 remainder is 3. So, what could be the value of x?
x= 3 , 7, 11, 15, 19, 23, 27, 31, 35, 39, 43, 47.
observe that 15 is not a prime. Thus statement 1 is not sufficient.
statement 2: it states that x is not divisible by neither 3 or 5. But there are several values of x below 50. x could be 2, 1, 11 , 16. So, insufficient. prime and composite both are there.
(1+2): If we take the value of x from statement 1 and apply statement 2, we will find that x is nothing but prime. Thus , both statements together are sufficient.
The best answer is C.
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