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.
Aman kumarPatwa said:
1 month ago
Simply find the prime factor of 24.
Which is 8x3 => check 24 is divisible by both.
For 3 => check the sum of all /3 & for 8 checks only last 3 digit is/by 8 or not, if yes, plus also 3 answer is satisfied parallel, then the correct answer is to be determined.
Which is 8x3 => check 24 is divisible by both.
For 3 => check the sum of all /3 & for 8 checks only last 3 digit is/by 8 or not, if yes, plus also 3 answer is satisfied parallel, then the correct answer is to be determined.
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)
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)
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)
Sapna Tonge said:
5 years ago
Why not option 1?
(1)
Dipendra said:
6 years ago
537804 can be directly divisible by 24.
Madhav said:
6 years ago
537804 is also divisible by 24 (2, 3, 4).
(1)
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