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C
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Difficulty:
95%
(hard)
Question Stats:
38% (02:34) correct
62%
(02:52)
wrong
based on 157
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History
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Not Attempted Yet
How many factors greater than 50, which are multiples of 3, are possible in 8400?
(A) 41
(B) 31
(C) 21
(D) 11
(E) 01
(A) 41
(B) 31
(C) 21
(D) 11
(E) 01
15 Nov 2015, 15:08
Kudos
Bookmarks
WillGetIt
How many factors greater than 50, which are multiples of 3, are possible in 8400?
(A) 41
(B) 31
(C) 21
(D) 11
(E) 01
(A) 41
(B) 31
(C) 21
(D) 11
(E) 01
Prime factorisation of 8400- \(2^4*3*5^2*7\)
Number of factors of 8400 =
5*2*3*2=60
Number of factors of 8400 which are not multiple of 3
5*2*3=30
Number of factors of 8400 which are multiple of 3
60-30 = 30
Factors which are multiple of 3 but less than 50-
3,6,12,15,21,24,30,42,48
Total-9
Number of factors of 8400 which are multiple of 3 but more than 50 are
30-9 = 21
Answer:- C
General Discussion
15 Nov 2015, 15:12
Kudos
Bookmarks
kunal555
WillGetIt
How many factors greater than 50, which are multiples of 3, are possible in 8400?
(A) 41
(B) 31
(C) 21
(D) 11
(E) 01
(A) 41
(B) 31
(C) 21
(D) 11
(E) 01
Prime factorisation of 8400- \(2^4*3*5^2*7\)
Number of factors of 8400 =
5*2*3*2=60
Number of factors of 8400 which are not multiple of 3
5*2*3=30
Number of factors of 8400 which are multiple of 3
60-30 = 30
Factors which are multiple of 3 but less than 50-
3,6,12,15,21,24,30,42,48
Total-9
Number of factors of 8400 which are multiple of 3 but more than 50 are
30-9 = 21
Answer:- C
how do you get the number of factors of 8400 which are not multiple of 3? thanks in advance.
