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18 Jun 2020, 09:39
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
56% (02:25) correct
44%
(01:57)
wrong
based on 282
sessions
History
Date
Time
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Not Attempted Yet
If 15 is a factor of p as well as q, is 15 the highest common factor of p & q?
1. q=3p.
2. q-2p=15.
1. q=3p.
2. q-2p=15.
18 Jun 2020, 11:11
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15 is a factor of p as well as q
=> p = 15a
q = 15b
St. 1:
p = 3q
case 1: p = 15, => q = 45
=> hcf(p,q) = 15
=> true
case 2:
p = 30, => q = 90
=> hcf(p,q) = 30
=> false
=> St. 1 is insufficient.
St. 2:
q - 2p = 15
=> p = 2q + 15
case 1: q = 15
=> p = 45
=> hcf(p,q) = 15
=> true
case 2:
q = 120 = 2^3 * 3 * 5
=> p = 255 = 5*3*17
=> hcf(p,q) = 15
=> true
=> St. 2 is sufficient.
=> Answer: B
=> p = 15a
q = 15b
St. 1:
p = 3q
case 1: p = 15, => q = 45
=> hcf(p,q) = 15
=> true
case 2:
p = 30, => q = 90
=> hcf(p,q) = 30
=> false
=> St. 1 is insufficient.
St. 2:
q - 2p = 15
=> p = 2q + 15
case 1: q = 15
=> p = 45
=> hcf(p,q) = 15
=> true
case 2:
q = 120 = 2^3 * 3 * 5
=> p = 255 = 5*3*17
=> hcf(p,q) = 15
=> true
=> St. 2 is sufficient.
=> Answer: B
20 Jun 2020, 01:23
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RaghavKhanna
Is there any alternate way to conclude that option B is sufficient?
Putting values take more time.
chetan2u kindly guide. Thanks.
