Aptitude - Numbers - Discussion

Discussion Forum : Numbers - General Questions (Q.No. 16)
16.
If the number 517*324 is completely divisible by 3, then the smallest whole number in the place of * will be:
1
2
None of these
Answer: Option
Explanation:

Sum of digits = (5 + 1 + 7 + x + 3 + 2 + 4) = (22 + x), which must be divisible by 3.

  x = 2.

Discussion:
52 comments Page 1 of 6.

Vikas said:   2 decades ago
Why we are adding the given all digits ?

Suresh said:   2 decades ago
How can we divide (22+x) by 3 ?

Ramakrishna said:   2 decades ago
Not understanding me explain me properly.

Priyanka P. said:   1 decade ago
hi..
the rule for division for 3 is the total of the given number should be divided by 3..
so when add 517x324=22 which can't be divided by 3, so we have to add 2, to make it dividable by 3.

after adding 2 it becomes 24 which can be divided by 3.

hope it helps u..

Paavani said:   1 decade ago
I can't understand anyones explaination. If any one got this sum means please explain it clearly.

Janu said:   1 decade ago
Hi @Pavani..

If a number(for example take xyzpqr) is divisible by 3, then the sum(x+y+z+p+q+r) is also divisible by 3 and vice versa..

ex: 243 is divisible by 3
2+4+3=9 is also divisible by 3..

So if u want to check dat a number is divisible by 3 then it is enough to see whether the sum of digits in the number is divisible by 3..

Sonakshi said:   1 decade ago
Hi Janu! can we set this formula with every number?

Jay said:   1 decade ago
Let x
and chosen number form option
and 22 + 2 = 24
it.s divided by 8 so answer is 2

Nikitha said:   1 decade ago
Hi paavani..

Principle: If a number is divisible by 3 means, sum of the digits also divisible by 3.

For eg: take 12. we know that 12 is divisible by 3
sum of digits i.e 1+2 = 3 ,3 is divisible by 3.

First u clear about this?

We cum to problem then..
517*324 is completely divisible by 3
so sum of the digits also divisible by 3.

Then, 5+1+7+x+3+2+4 = 22+x

We hav given the options 0, 1 , 2

If x=0, sum= x+22= 0+22 = 22 is not divisible by 3
If x=1, Sum =x+22 = 1+22 = 23 is not divisible by 3
If x=2, Sum =x+22 = 2+22 = 24 is divisible by 3
So answer is 2

Hope you understand this..
(1)

Divya said:   1 decade ago
How can we divide (22+x) by 3 ?


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