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.
Syama said:
1 decade ago
547804 is divisible by 2,3,4 then why its not divisible by 24.. can u explain?
Priya said:
1 decade ago
5+4+7+8+0+4=28 is not divisible by 3, it can't by 24 also
Janu said:
1 decade ago
Hello syama..
547804 is not divisible by 3..
divisible by means "remainder should be zero"
547804 is not divisible by 3..
divisible by means "remainder should be zero"
Ravinder reddy said:
1 decade ago
Hell friends, I did not get why your dividing total number with 8 and sum of total numbers with 3 and on what basis your selecting 8 for dividing total number and on what basis your selecting 3 for dividing sum of total number.
Can anybody explain me?
Can anybody explain me?
Bindu said:
1 decade ago
Hi Reddy :
They took 8 and 3 because 3*8=24 any number divisible by 24 should be divisible by its divisors
You can also take 4*6
They took 8 and 3 because 3*8=24 any number divisible by 24 should be divisible by its divisors
You can also take 4*6
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?
Rajak said:
1 decade ago
How can you take only last 3 digits of a number ?
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.
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
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.
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