Aptitude - Numbers - Discussion

Discussion Forum : Numbers - General Questions (Q.No. 52)
52.
If the number 97215 * 6 is completely divisible by 11, then the smallest whole number in place of * will be:
3
2
1
5
None of these
Answer: Option
Explanation:

Given number = 97215x6

(6 + 5 + 2 + 9) - (x + 1 + 7) = (14 - x), which must be divisible by 11.

  x = 3

Discussion:
9 comments Page 1 of 1.

Akib Dahya said:   6 years ago
9+7+2+1+5+6 = 30 + 3 = 33.

33/11=3.

So, the answer is 3.
(6)

Khajaafridkhan said:   8 years ago
=>(9+2+5+6)-(7+1+ * +6),
=>(22-14+ * ),
=>(8+*),
to be divisible by 11, the sum should be either 11 or 0.
So if we substitute 3 from the options we get sum =11 which is divisible by 11
(2)

Ashutosh saxena said:   9 years ago
@Pradheep.

God bless you, you are helping the people. Thanks for the explanation.

Sumathy said:   9 years ago
Thank you @Jitesh Luthria.

Jitesh Luthria said:   10 years ago
Hi all you can collect your answer also this way.

Just add all the number given in the question which is 30 & after that add the option numeric given in answers.

In a the total is 33, which is divisible by 11 correct. And no other option are divisible by 11.
(1)

Manish said:   1 decade ago
Hi Pradeep... the method you suggested is wrong. you were lucky to get the answer in this case. consider another number divisible by 11.

Eg: 17732. say it is given 177x2. you have to find x.

So going by your method u add the digits, ie (1+7+7+x+2)=(17+x), which must be divisible by 11.

So you will suggest 5 here. But the original number was 3. So your method is wrong.

Best way is to follow the correct technique.

ie, (1-7+7-x+2) = (3-x), which must be divisible by 11.

So replace x with 3.
(2)

Anjali said:   1 decade ago
Good job pradeep,This is the easiest way to solve this problem

Neelu said:   1 decade ago
Pradheep answer is right way which is easiest method.

Pradheep said:   1 decade ago
given number=97215x6
then (9+7+2+1+5+x+6)=(30+x), which must be divisible by 11.
then we replace x = 3
(1)

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