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:
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 5 of 6.
Vikas said:
2 decades ago
Why we are adding the given all digits ?
Prajith said:
1 decade ago
Is this method is only applicable when the divisor is 3?
Sudharshan said:
1 decade ago
Can you send anybody divisible rules for remaining numbers 7, 6, 8?
Nithya said:
1 decade ago
517*324 its divided by 3.
5+1+7+X+3+2+4 = 22+X.
X = 0, 1, 2, 3, .
22+0 = 22. Its not divided by three.
22+1 = 23. Its not divided by three.
22+2 = 24(8*3) = 24 is divided by three.
So, the x value is 2. The two will be added. So the number is divided by three. So the answer is three.
5+1+7+X+3+2+4 = 22+X.
X = 0, 1, 2, 3, .
22+0 = 22. Its not divided by three.
22+1 = 23. Its not divided by three.
22+2 = 24(8*3) = 24 is divided by three.
So, the x value is 2. The two will be added. So the number is divided by three. So the answer is three.
Shailu said:
1 decade ago
Just all see @Nikitha comment she describes it well.
Ramesh nigam said:
10 years ago
Can we apply this trick on all numbers, or its just applicable on number 3?
Shiva said:
10 years ago
5 + 1 + 7 + x + 3 + 2 + 4 = 22.
22 + 3 - x = 24.
24/12 = 2.
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).
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.
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