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27 Nov 2019, 01:43
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
53% (01:40) correct
47%
(01:51)
wrong
based on 262
sessions
History
Date
Time
Result
Not Attempted Yet
Which of the following integers cannot be expressed as the product of two distinct prime numbers?
A. 29,966
B. 34,571
C. 56,124
D. 67,994
E. 82,919
Are You Up For the Challenge: 700 Level Questions
A. 29,966
B. 34,571
C. 56,124
D. 67,994
E. 82,919
Are You Up For the Challenge: 700 Level Questions
27 Nov 2019, 04:48
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Bunuel
Product of any 2 prime numbers can never be divisible by 4
Divisibility Rule of 4: Last 2 digits must be divisible by 4
A. 29,966 ; 66 = 4*15 + 2 --> Not divisible
B. 34,571 ; 71 --> Not divisible
C. 56,124 ; 24 = 4*6 + 0 --> Divisible
D. 67,994 ; 94 = 4*23 + 2 --> Not divisible
E. 82,919 --> Not divisible
--> 56,124 can never be product of 2 distinct prime numbers
IMO Option C
General Discussion
27 Nov 2019, 01:48
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Bunuel
By scanning answer options , we see that there are even integer in the options.
Only even prime is 2. Rest of the prime are odd.
Option C)
56124
2*odd prime = 56124
Odd prime = 28062 ( but it is even and it's not a prime )
Thus C is our answer
