Class 5 Exam > Class 5 Questions > If the 8-digit number 136y5785 is divisible b...
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If the 8-digit number 136y5785 is divisible by 15, then find the least possible value of
- a)1
- b)2
- c)0
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
If the 8-digit number 136y5785 is divisible by 15, then find the least...
136Y5785
For 15, No. should be divisible by 5, 3
No. is already divisible by 5 1 + 3 + 6 + 5 + 7 + 8 + 5 + y = 35 + y
No. is already divisible by 5 1 + 3 + 6 + 5 + 7 + 8 + 5 + y = 35 + y
∴y=1
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Most Upvoted Answer
If the 8-digit number 136y5785 is divisible by 15, then find the least...
To find out if the 8-digit number 136y5785 is divisible by 15, we need to check if it is divisible by both 3 and 5.
To check if the number is divisible by 3, we can simply add up all the digits and see if the sum is divisible by 3.
Adding up the digits: 1 + 3 + 6 + y + 5 + 7 + 8 + 5 = 35 + y
In order for the sum to be divisible by 3, the value of y must be such that (35 + y) is divisible by 3.
Now let's check if the number is divisible by 5. A number is divisible by 5 if its units digit is either 0 or 5. In this case, the units digit is 5, so the number is divisible by 5.
Since the number is divisible by both 3 and 5, it is divisible by 15.
Now, we need to find the least possible value of y that makes the number divisible by 15.
To find this, we need to find the smallest value of y that makes (35 + y) divisible by 3.
The smallest value of y that makes (35 + y) divisible by 3 is y = 1.
Therefore, the least possible value of y is 1, and the correct answer is option A.
To check if the number is divisible by 3, we can simply add up all the digits and see if the sum is divisible by 3.
Adding up the digits: 1 + 3 + 6 + y + 5 + 7 + 8 + 5 = 35 + y
In order for the sum to be divisible by 3, the value of y must be such that (35 + y) is divisible by 3.
Now let's check if the number is divisible by 5. A number is divisible by 5 if its units digit is either 0 or 5. In this case, the units digit is 5, so the number is divisible by 5.
Since the number is divisible by both 3 and 5, it is divisible by 15.
Now, we need to find the least possible value of y that makes the number divisible by 15.
To find this, we need to find the smallest value of y that makes (35 + y) divisible by 3.
The smallest value of y that makes (35 + y) divisible by 3 is y = 1.
Therefore, the least possible value of y is 1, and the correct answer is option A.
Community Answer
If the 8-digit number 136y5785 is divisible by 15, then find the least...
Answer a)
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If the 8-digit number 136y5785 is divisible by 15, then find the least possible value ofa)1b)2c)0d)None of theseCorrect answer is option 'A'. Can you explain this answer?
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