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Intern  B
Joined: 29 Jan 2017
Posts: 10
If a, b, c, and 0 are the thousands digit, the hundreds digit, the ten  [#permalink]

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Difficulty:   25% (medium)

Question Stats: 78% (01:09) correct 22% (01:17) wrong based on 36 sessions

### HideShow timer Statistics If a, b, c, and 0 are the thousands digit, the hundreds digit, the tens digit, and the units digit of a 4-digit positive integer n, respectively, is n divisible by 20?

1) a=5
2) c=4

Originally posted by fah_shoumo on 31 Mar 2018, 08:19.
Last edited by abhimahna on 31 Mar 2018, 08:45, edited 1 time in total.
Edited the question and added OA
Manager  G
Joined: 17 Mar 2015
Posts: 88
Re: If a, b, c, and 0 are the thousands digit, the hundreds digit, the ten  [#permalink]

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fah_shoumo wrote:
If a, b, c, and 0 are the thousands digit, the hundreds digit, the tens digit, and the units digit of a 4-digit positive integer n, respectively, is n divisible by 20?

1) a=5
2) c=4

abc0/20

abc/2

if c is even it is divisible.

Math Expert V
Joined: 02 Sep 2009
Posts: 56307
Re: If a, b, c, and 0 are the thousands digit, the hundreds digit, the ten  [#permalink]

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fah_shoumo wrote:
If a, b, c, and 0 are the thousands digit, the hundreds digit, the tens digit, and the units digit of a 4-digit positive integer n, respectively, is n divisible by 20?

1) a=5
2) c=4

5. Divisibility/Multiples/Factors

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Re: If a, b, c, and 0 are the thousands digit, the hundreds digit, the ten  [#permalink]

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fah_shoumo wrote:
If a, b, c, and 0 are the thousands digit, the hundreds digit, the tens digit, and the units digit of a 4-digit positive integer n, respectively, is n divisible by 20?

1) a=5
2) c=4

The 4 digit positive integer is n = abc0
We need to find out if n is divisible by 20.

1. a=5
Case 1: a = 5, b = 2, c = 2, n is divisible by 20
Case 2: a = 5, b = 3, c = 3, n will not be divisible by 20
Hence, we cannot say for sure if n is divisble by 20 (Insufficient)

2. c=4
Case 1: a = 5, b = 2, c = 4, n is divisible by 20
Case 2: a = 6, b = 3, c = 4, n is divisible by 20
Basically, whatever the value of a and b, n is always divisble by 20 (Sufficient - Option B)
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Intern  Joined: 01 Apr 2018
Posts: 8
If a, b, c, and 0 are the thousands digit, the hundreds digit, the ten  [#permalink]

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fah_shoumo wrote:
If a, b, c, and 0 are the thousands digit, the hundreds digit, the tens digit, and the units digit of a 4-digit positive integer n, respectively, is n divisible by 20?

1) a=5
2) c=4

Divisiblity by 20 mean check it’s divisiblity by its factor 5*4
For 5 it’s clear that for every value of abc it’s gonna divisible coz ends with 0
For divisiblity by 4 last two digit of number must be divisible by 4 which is satisfied by the case 2 c=4 hence option 2 is must.

Sent from my iPhone using GMAT Club Forum mobile app If a, b, c, and 0 are the thousands digit, the hundreds digit, the ten   [#permalink] 01 Apr 2018, 12:56
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