Aptitude - Numbers - Discussion

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.

35718 = 3*8=24/24 divisible.
63810= 3*8 = 24 /24 divisible.
537804 = 3*8 = 24 / 24 divisible.

3125736 = 3 available but 8 is not available whose it can make 24, if given in question no is 24 will be not divisible therefore answer is 3125736.

Why are we taking 3 and 8 only and not 4, 6 or 12, 2?

What is co-prime?

24= 6 * 4.

The number is divisible by 4 if the last digit of the number is 4 or 6.
The number is divisible by 6 if the last digit of the number is 6.
Therefore option (D).

3+5+7+1+8=24 also divisible then why not answer?

537804 is also divisible by 24 (2, 3, 4).

537804 can be directly divisible by 24.

Why not option 1?

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?