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gmattesttaker2
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Hello,
Can you please help with this problem:
If k & j are positive integers, and k is not equal to j, does k have more different prime factors
than j?
(1) k = (10)^j
(2) j = (30)^k
OA: C
1) Let j = 1 => j has no prime factors
Hence, k = 10 => k has two prime factors i.e. 2 and 5
Let j = 2 => j has 1 prime factor
Hence, k = 100 => k has two different prime factors i.e. 2 and 5
Hence we can see that k has more different prime factors than j. Hence, Suff.
2) Let k = 1 => k has no prime factors
Hence, j = 30 => j has three prime factors i.e. 2, 3 and 5
Let k = 2 => k has 1 prime factor
Hence, j = 900 => j has three different prime factors i.e. 2, 3 and 5.
Here we can see that j has more different prime factors than k.
However, I think I am doing something wrong since both these solutions are contradicting each other.
Can you please help?
Thanks,
Sri
Can you please help with this problem:
If k & j are positive integers, and k is not equal to j, does k have more different prime factors
than j?
(1) k = (10)^j
(2) j = (30)^k
OA: C
1) Let j = 1 => j has no prime factors
Hence, k = 10 => k has two prime factors i.e. 2 and 5
Let j = 2 => j has 1 prime factor
Hence, k = 100 => k has two different prime factors i.e. 2 and 5
Hence we can see that k has more different prime factors than j. Hence, Suff.
2) Let k = 1 => k has no prime factors
Hence, j = 30 => j has three prime factors i.e. 2, 3 and 5
Let k = 2 => k has 1 prime factor
Hence, j = 900 => j has three different prime factors i.e. 2, 3 and 5.
Here we can see that j has more different prime factors than k.
However, I think I am doing something wrong since both these solutions are contradicting each other.
Can you please help?
Thanks,
Sri
