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24 Nov 2021, 05:30
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A
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Difficulty:
35%
(medium)
Question Stats:
68% (01:16) correct
32%
(01:31)
wrong
based on 41
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Integer N is between 150 and 180, N = ?
(1) When N is divided by 20, the remainder is 4.
(2) When N is divided by 25, the remainder is 3.
(1) When N is divided by 20, the remainder is 4.
(2) When N is divided by 25, the remainder is 3.
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DashingNightmare2
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Joined: 30 May 2021
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Location: India
Concentration: Marketing, Technology
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29 Nov 2021, 12:49
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Bunuel
1) taking multiples of 20, only 160 lies between 150 and 180 => 164 only gives remainder 4. Sufficient
2) 150 and 175 are 2 multiples between 150 and 180 => 153 and 178 both gives 3 remainder. not sufficient.
hence A
30 Nov 2021, 17:26
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Bunuel
Statement 1 Alone:
We can write N as \(N = 20*i + 4\). Such values near the {150, 180} range would be 144, 164, 184. We can see only one such value lies within the range, so statement 1 alone is sufficient.
Statement 2 Alone:
We can write N as \(N = 25*j + 3\). Such values near the {150, 180} range would be 153, 178, 203. We can see two values lie within the range, so statement 2 alone is insufficient.
Answer: A
