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# AAAA is a four-digit number having the digit A and BCCC6 is a five-dig

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Math Expert
Joined: 02 Sep 2009
Posts: 59590
AAAA is a four-digit number having the digit A and BCCC6 is a five-dig  [#permalink]

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28 Jul 2017, 01:37
00:00

Difficulty:

65% (hard)

Question Stats:

66% (01:48) correct 34% (01:53) wrong based on 64 sessions

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AAAA is a four-digit number having the digit A and BCCC6 is a five-digit number having digits B, C and 6. What is the value of (C − B)?

(1) AAAA × A = BCCC6.
(2) A < 6.

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Joined: 14 Oct 2015
Posts: 243
GPA: 3.57
AAAA is a four-digit number having the digit A and BCCC6 is a five-dig  [#permalink]

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28 Jul 2017, 03:06
Bunuel wrote:
AAAA is a four-digit number having the digit A and BCCC6 is a five-digit number having digits B, C and 6. What is the value of (C − B)?

(1) AAAA × A = BCCC6.
(2) A < 6.

It should be A

Statement 1: Insufficient

A^2 has a units digit of 6. Both 4^2 and 6^2 qualify.

4444 x 4 = 17776
6666 x 4 = 39996

In both cases C - B = 7 - 1 = 9 - 3 = 6

Statement 2: Insufficient

Gives us nothing about the relationship of the two numbers.
AAAA is a four-digit number having the digit A and BCCC6 is a five-dig   [#permalink] 28 Jul 2017, 03:06
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