Aptitude - Numbers - Discussion
Discussion Forum : Numbers - General Questions (Q.No. 21)
21.
Which of the following number is divisible by 24 ?
Answer: Option
Explanation:
24 = 3 x8, where 3 and 8 co-prime.
Clearly, 35718 is not divisible by 8, as 718 is not divisible by 8.
Similarly, 63810 is not divisible by 8 and 537804 is not divisible by 8.
Consider option (D),
Sum of digits = (3 + 1 + 2 + 5 + 7 + 3 + 6) = 27, which is divisible by 3.
Also, 736 is divisible by 8.
3125736 is divisible by (3 x 8), i.e., 24.
Discussion:
56 comments Page 1 of 6.
ANIL MEGHWAL said:
4 years ago
35718 = 3+5+7+1+8 = 24.
63810 = 6+3+8+1+0 = 18.
537804 = 5+3+7+8+0+4 = 27.
3125736 = 3+1+2+5+7+3+6 = 27.
According to this, concept option 1 should be also correct.
63810 = 6+3+8+1+0 = 18.
537804 = 5+3+7+8+0+4 = 27.
3125736 = 3+1+2+5+7+3+6 = 27.
According to this, concept option 1 should be also correct.
(14)
Srikanth said:
4 years ago
Thanks @Naresh.
(4)
Nikhil said:
5 years ago
The number should be divisible by both 3 and 8.
Here 24 is LCM so among those four options whichever has factors 24 is the answer.
And here only option (D) is satisfying this condition.
Here 24 is LCM so among those four options whichever has factors 24 is the answer.
And here only option (D) is satisfying this condition.
(4)
Swapna said:
5 years ago
Here,
35718=3+5+7+1+8 = 24
63810=6+3+8+1+0 = 18
537804=5+3+7+8+0+4 = 27
3125736 =3+1+2+5+7+3+6 = 27
So, if considering this way then option 1 is correct, right?
35718=3+5+7+1+8 = 24
63810=6+3+8+1+0 = 18
537804=5+3+7+8+0+4 = 27
3125736 =3+1+2+5+7+3+6 = 27
So, if considering this way then option 1 is correct, right?
(4)
Mayur said:
3 years ago
@Anil Meghwal.
718 is not completely divisible by 8 hence option A is ruled out. B
But, options C & D both are correct.
718 is not completely divisible by 8 hence option A is ruled out. B
But, options C & D both are correct.
(2)
Devesh Kinkar said:
6 months ago
To check if a number is divisible by 24, we use the divisibility rules of 8 and 3 because:
24 = 8×3.
Step 1: Check divisibility by 3.
A number is divisible by 3 if the sum of its digits is divisible by 3.
Step 2: Check divisibility by 8.
A number is divisible by 8 if its last three digits form a number that is divisible by 8.
24 = 8×3.
Step 1: Check divisibility by 3.
A number is divisible by 3 if the sum of its digits is divisible by 3.
Step 2: Check divisibility by 8.
A number is divisible by 8 if its last three digits form a number that is divisible by 8.
(1)
Sapna Tonge said:
5 years ago
Why not option 1?
(1)
Madhav said:
6 years ago
537804 is also divisible by 24 (2, 3, 4).
(1)
Abica said:
6 years ago
3+5+7+1+8=24 also divisible then why not answer?
(1)
Ashwin said:
7 years ago
24 = 2 * 3 * 4 the given numbers compulsory divisible by 2, 3 and 4.
The option checks to all.
All option divisible 2.
The two option divisible 3 (537804 and 3125736).
The one option divisible 4 (3125736).
So 2, 3, 4 are divisible by 3125736. it is the correct answer.
Clear EXPLANATION:
2 divisible law.
Rule: If it ends with a 0, 2, 4, 6, or 8.
3 divisible law.
Rule: If the sum of the digits is a multiple of 3.
Number-----> Divisible -----> Reason
405-----> Yes-----> 4 + 0 + 5 = 9 (9 is a multiple of 3).
381-----> Yes-----> 3 + 8 + 1 = 12 (12 is a multiple of 3).
928-----> No -----> 9 + 2 + 8 = 19 (19 is not a multiple of 3).
4,616-----> No -----> 4 + 6 + 1 + 6 = 17 (17 is not a multiple of 3).
4 divisible law.
Rule: If the last two digits are a multiple of 4 (or if the last two digits are 00)
Number ----> Divisible ----> Reason
348 -----> Yes-----> 48 is a multiple of 4.
27,616 -----> Yes-----> 16 is a multiple of 4.
8,514 -----> No -----> 14 is not a multiple of 4.
722 -----> No-----> 22 is not a multiple of 4.
1,200-----> Yes -----> The last two digits are 00.
200 is a multiple of 4.
THANK YOU.
The option checks to all.
All option divisible 2.
The two option divisible 3 (537804 and 3125736).
The one option divisible 4 (3125736).
So 2, 3, 4 are divisible by 3125736. it is the correct answer.
Clear EXPLANATION:
2 divisible law.
Rule: If it ends with a 0, 2, 4, 6, or 8.
3 divisible law.
Rule: If the sum of the digits is a multiple of 3.
Number-----> Divisible -----> Reason
405-----> Yes-----> 4 + 0 + 5 = 9 (9 is a multiple of 3).
381-----> Yes-----> 3 + 8 + 1 = 12 (12 is a multiple of 3).
928-----> No -----> 9 + 2 + 8 = 19 (19 is not a multiple of 3).
4,616-----> No -----> 4 + 6 + 1 + 6 = 17 (17 is not a multiple of 3).
4 divisible law.
Rule: If the last two digits are a multiple of 4 (or if the last two digits are 00)
Number ----> Divisible ----> Reason
348 -----> Yes-----> 48 is a multiple of 4.
27,616 -----> Yes-----> 16 is a multiple of 4.
8,514 -----> No -----> 14 is not a multiple of 4.
722 -----> No-----> 22 is not a multiple of 4.
1,200-----> Yes -----> The last two digits are 00.
200 is a multiple of 4.
THANK YOU.
(1)
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