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a, b, and c are positive integers. If a, b, and c are assembled into t
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27 Oct 2014, 07:22
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10
00:00
A
B
C
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Difficulty:
85% (hard)
Question Stats:
44% (01:42) correct 56% (01:50) wrong based on 178 sessions
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Tough and Tricky questions: Factors.
a, b, and c are positive integers. If a, b, and c are assembled into the six-digit number abcabc, which one of the following must be a factor of abcabc?
a, b, and c are positive integers. If a, b, and c are assembled into t
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27 Oct 2014, 20:41
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3
Bunuel wrote:
Tough and Tricky questions: Factors.
a, b, and c are positive integers. If a, b, and c are assembled into the six-digit number abcabc, which one of the following must be a factor of abcabc?
(A) 16 (B) 13 (C) 5 (D) 3 (E) none of the above
Option A, C & E can be safely ignored as we can pick up some numbers which contradict the divisibility
247247 >> Cannot be divided by 16, 5 & 3
To check for 13, better to go the algebraic way:
\(abcabc = a * 10^5 + b * 10^4 + c * 10^3 + a * 10^2 + b * 10^1 + c * 10^0\)
Re: a, b, and c are positive integers. If a, b, and c are assembled into t
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09 Apr 2016, 04:31
3
Bunuel wrote:
Tough and Tricky questions: Factors.
a, b, and c are positive integers. If a, b, and c are assembled into the six-digit number abcabc, which one of the following must be a factor of abcabc?
(A) 16 (B) 13 (C) 5 (D) 3 (E) none of the above
Here the BEST approach would be dividing by abc.. we can be sure that abcabcwill get div by abc.. abcabc/abc = 1001.. what are factors of 1001 = 7*11*13.. Thus in given choices 13 is correct ans B
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Re: a, b, and c are positive integers. If a, b, and c are assembled into t
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12 Aug 2017, 07:55
1
Bunuel wrote:
Tough and Tricky questions: Factors.
a, b, and c are positive integers. If a, b, and c are assembled into the six-digit number abcabc, which one of the following must be a factor of abcabc?
(A) 16 (B) 13 (C) 5 (D) 3 (E) none of the above
abcabc = 10^5*a + 10^4*b + 10^3*c + 10^2 *a + 10 * b + c = 1001 (100a + 10b + c)
Now 1001 = 13*7*11
So, 13 must be a factor of abcabc
Answer B _________________
CAT 2017 (98.95) & 2018 (98.91) : 99th percentiler UPSC Aspirants : Get my app UPSC Important News Reader from Play store.
Re: a, b, and c are positive integers. If a, b, and c are assembled into t
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28 Nov 2018, 11:03
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44% (01:42) correct 
