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19 Jun 2020, 10:48
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Difficulty:
55%
(hard)
Question Stats:
52% (01:40) correct
48%
(01:23)
wrong
based on 21
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If p is a positive integer, is p > 4 ?
(1) p^4 = 256
(2) (p^2 -1)(p - 4) > 0
(1) p^4 = 256
(2) (p^2 -1)(p - 4) > 0
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19 Jun 2020, 10:51
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19 Jun 2020, 11:43
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Given: p is a positive integer, To find: is p > 4 ?
(1) p^4 = 246
=> P^4 = 2*3*41
=> exponentiating both sides with 1/4, we get
=> P = ⁴√246
Which is less than 4
(Sufficient)
(2) (p^2 -1)(p - 4) > 0
=> P-4 > 0 => P > 4
=> P^2 - 1 > 0
=> P^2 > 1
=> -1 > P > 1
(Not Possible)
Answer is A
Posted from my mobile device
(1) p^4 = 246
=> P^4 = 2*3*41
=> exponentiating both sides with 1/4, we get
=> P = ⁴√246
Which is less than 4
(Sufficient)
(2) (p^2 -1)(p - 4) > 0
=> P-4 > 0 => P > 4
=> P^2 - 1 > 0
=> P^2 > 1
=> -1 > P > 1
(Not Possible)
Answer is A
Posted from my mobile device
