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 2 of 6.
Madhu said:
1 decade ago
537804 is divisible by 2, 3, 4.
So 537804 is also divisible by 24 na?
If 537804 /24, the remainder will be 0. So the answer will be c and d.
---plz explain why c option cant be the answer
So 537804 is also divisible by 24 na?
If 537804 /24, the remainder will be 0. So the answer will be c and d.
---plz explain why c option cant be the answer
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)
Prakarsh said:
8 years ago
We can not take 2*3*4 because 2&4 are not co primes, hence for 24 only possible co-primes are 8*3.
CO-PRIME: Those prime numbers which have only '1' as a common factor.
THANK YOU
CO-PRIME: Those prime numbers which have only '1' as a common factor.
THANK YOU
Kartik said:
6 years ago
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).
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).
Nikitha said:
1 decade ago
537804 is divisible by 2, 3, 4.
So 537804 is also divisible by 24 na?
If 537804 /24, the remainder will be 0. So the answer will be c and d.
Can anyone clear my doubt?
So 537804 is also divisible by 24 na?
If 537804 /24, the remainder will be 0. So the answer will be c and d.
Can anyone clear my doubt?
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.
(16)
Muni said:
1 decade ago
Simply you can do this in this way:
Let factor of 24=4*6.
So just check whether the last two digits are divided by 4 and 6 both then you'll get the answer easily.
Let factor of 24=4*6.
So just check whether the last two digits are divided by 4 and 6 both then you'll get the answer easily.
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)
Shubham said:
8 years ago
@Rohit.
May be we need to consider only co-prime numbers to solve the question and we have already tricks to check if the number is divisible by 3 or 8.
May be we need to consider only co-prime numbers to solve the question and we have already tricks to check if the number is divisible by 3 or 8.
Anil said:
1 decade ago
@Rafi ...think dude among four option only one should be divisible by 24.
So 3*8 or 3 into 8..is coprime and then see the divisibility of 3 and 8.
So 3*8 or 3 into 8..is coprime and then see the divisibility of 3 and 8.
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