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Which of the following integers is divisible by 12?
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05 Nov 2017, 23:09
05 Nov 2017, 23:09
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Question Stats:
100% (00:25) correct
0% (00:00) wrong based on 11 sessions
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Which of the following integers is divisible by 12?
(A) 1,442
(B) 1,653
(C) 1,728
(D) 2,048
(E) 2,884
Kudos for correct solution.
(A) 1,442
(B) 1,653
(C) 1,728
(D) 2,048
(E) 2,884
Kudos for correct solution.
Re: Which of the following integers is divisible by 12?
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06 Nov 2017, 05:52
06 Nov 2017, 05:52
A number that is divisible by 12 is also divisible by 3 and 4 (or twice by 2). Then, we can check which of the choices is the right one without the need of the calculator.
If we check which choices are divisible by 3, summing the digits of the number we need to get a multiple of 3, thus we can get rid of all the choices but B and C.
Then, among the two, the one that is also divisible by 2 is C.
Answer C
If we check which choices are divisible by 3, summing the digits of the number we need to get a multiple of 3, thus we can get rid of all the choices but B and C.
Then, among the two, the one that is also divisible by 2 is C.
Answer C
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Re: Which of the following integers is divisible by 12?
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19 Sep 2022, 09:08
19 Sep 2022, 09:08
We need to find which of the following integers is divisible by 12
Theory:
(A) 1,442
Sum of digits = 1 + 4 + 4 + 2 = 11, NOT a multiple of 3 => NOT Divisible by 12
(B) 1,653
Number is odd => Not a multiple of 4 => NOT Divisible by 12
(C) 1,728
Sum of digits = 1 + 7 + 2 + 8 = 18 => Divisible by 3
Last two digits = 28 => divisible by 4 => Divisible by 12
In Exam we don't need to solve further, but i am solving to complete the solution
(D) 2,048
Sum of digits = 2 + 0 + 4 + 8 = 14, NOT a multiple of 3 => NOT Divisible by 12
(E) 2,884
Sum of digits = 2 + 8 + 8 + 4 = 22, NOT a multiple of 3 => NOT Divisible by 12
So, Answer will be C
Hope it helps!
Watch the following video to learn the Basics of Divisibility Rules
Theory:
- ‣‣‣ Divisibility Rule for divisibility by 12 -> Number should be divisible by both 3 and 4
‣‣‣ Divisibility Rule for divisibility by 3 -> Sum of all the digits of the number should be divisible by 3
‣‣‣ Divisibility Rule for divisibility by 4 -> Number formed by last two digits should be divisible by 4
(A) 1,442
Sum of digits = 1 + 4 + 4 + 2 = 11, NOT a multiple of 3 => NOT Divisible by 12
(B) 1,653
Number is odd => Not a multiple of 4 => NOT Divisible by 12
(C) 1,728
Sum of digits = 1 + 7 + 2 + 8 = 18 => Divisible by 3
Last two digits = 28 => divisible by 4 => Divisible by 12
In Exam we don't need to solve further, but i am solving to complete the solution
(D) 2,048
Sum of digits = 2 + 0 + 4 + 8 = 14, NOT a multiple of 3 => NOT Divisible by 12
(E) 2,884
Sum of digits = 2 + 8 + 8 + 4 = 22, NOT a multiple of 3 => NOT Divisible by 12
So, Answer will be C
Hope it helps!
Watch the following video to learn the Basics of Divisibility Rules
