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 5 of 6.
Rafi said:
1 decade ago
3+5+7+1+8 = 24 sum of digit is divisible by 24 then why this not an answer?
Ram said:
1 decade ago
It is possible to divide the number by 2x4x3.
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.
Dhruv said:
1 decade ago
5+4+7+8+0+4 is not divisible by 3.
Neha said:
1 decade ago
Why we select only co prime numbers?
Sk.Gopinath Siva said:
1 decade ago
A set of numbers which do not have any other common factor other than 1 are called co-prime.
Prabhakaran said:
1 decade ago
@Bindhu.
4 and 6 are not co-prime, because they share the common factor 2; and gcd(4,6)=2.
4 and 6 are not co-prime, because they share the common factor 2; and gcd(4,6)=2.
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
Malik said:
1 decade ago
@Rajak
Because there are some short methods to find out weather the number is divided by 2,3,4,5,6,7,8,9,10,11.
For example:- if the last digit of any number is 0,2,4,6,8 then it is fully divided by 2 for example 63470.
If the sum of all the digits in number is divided by 3 then the number will be divide by the 3 for example = (3 + 1 + 2 + 5 + 7 + 3 + 6) = 27, which is divisible by 3 so the digit 3125736 will be fully divided by 3.
For 8 it is like if the last three digits are divided by eight then only it can be fully divided by 8 for example above... and so on.
Because there are some short methods to find out weather the number is divided by 2,3,4,5,6,7,8,9,10,11.
For example:- if the last digit of any number is 0,2,4,6,8 then it is fully divided by 2 for example 63470.
If the sum of all the digits in number is divided by 3 then the number will be divide by the 3 for example = (3 + 1 + 2 + 5 + 7 + 3 + 6) = 27, which is divisible by 3 so the digit 3125736 will be fully divided by 3.
For 8 it is like if the last three digits are divided by eight then only it can be fully divided by 8 for example above... and so on.
Rajak said:
1 decade ago
How can you take only last 3 digits of a number ?
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