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 3 of 6.

Shiva said:   10 years ago
5 + 1 + 7 + x + 3 + 2 + 4 = 22.

22 + 3 - x = 24.

24/12 = 2.

Pooja said:   9 years ago
It's quite simple. Consider * as x and add all the numbers which will become (22+x). Now choose the number from options one by one and put in place of x and then try to divide it by 3. As I put the first option in place of x = (22+2) = 24 which is divided by 3.

Pravas said:   9 years ago
Simple method-->divide the left-hand side number by 3, the remainder will be 1, then divide RHS number by 3 the remainder will be 0 as the number is divided by 3 so, place 2 before remainder 1, it will be 21 and divide by 3. That's solved.

Ex: 517/3 = 1 (remainder) * 324/3 = 0, So place 2 before 1 (remainder) = 21/3 = 7 (all are divided).

Kamal said:   9 years ago
Not understand the solution, please someone help me.

Durga said:   9 years ago
Thanks, @Nikitha.

Ramana said:   9 years ago
How it comes 22+ x? Please explain it.

Meghana said:   9 years ago
I am not getting this, please explain properly.

Subha said:   9 years ago
You gave the best explanation @Nikitha.

@All. Please refer Nikitha's answer you will understand the solution.

Balaji psg said:   9 years ago
Thank you @Nikitha I can understand now.

Praveengolla said:   9 years ago
Thank you @Nikitha and @Pavan.


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