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Which of the following numbers is divisible by 15?
- a)1025
- b)2045
- c)2015
- d)1440
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Which of the following numbers is divisible by 15?a)1025b)2045c)2015d)...
CONCEPT :
A number is divisible by 15 if it is divisible by both 3 and 5.
CALCULATION :
We solve this type of question by option
1025 = 1 + 0 + 2 + 5 = 8 = is not divisible by 3 but divisible by 5
2045 = 2 + 0 + 4 + 5 = 11 is not divisible by 3 but divisible by 5
2015 = 2 + 0 + 1 + 5 = 8 is not divisible by 3 but divisible by 5
1440 = 1 + 4 + 4 + 0 = 9 is divisible by 3 and 5
∴ The required answer is 1440.
Most Upvoted Answer
Which of the following numbers is divisible by 15?a)1025b)2045c)2015d)...
Divisibility by 15
To determine if a number is divisible by 15, we need to check if it is divisible by both 3 and 5 because 15 is the product of these two numbers.
Explanation:
- For a number to be divisible by 3, the sum of its digits must be divisible by 3.
- For a number to be divisible by 5, the last digit must be either 0 or 5.
Analysis of Options:
a) 1025
- The sum of the digits is 1+0+2+5 = 8, which is not divisible by 3.
- The last digit is 5, which means it is divisible by 5.
- Not divisible by 15.
b) 2045
- The sum of the digits is 2+0+4+5 = 11, which is not divisible by 3.
- The last digit is 5, which means it is divisible by 5.
- Not divisible by 15.
c) 2015
- The sum of the digits is 2+0+1+5 = 8, which is not divisible by 3.
- The last digit is 5, which means it is divisible by 5.
- Not divisible by 15.
d) 1440
- The sum of the digits is 1+4+4+0 = 9, which is divisible by 3.
- The last digit is 0, which means it is divisible by 5.
- Divisible by 15.
Therefore, the number 1440 is divisible by 15.
To determine if a number is divisible by 15, we need to check if it is divisible by both 3 and 5 because 15 is the product of these two numbers.
Explanation:
- For a number to be divisible by 3, the sum of its digits must be divisible by 3.
- For a number to be divisible by 5, the last digit must be either 0 or 5.
Analysis of Options:
a) 1025
- The sum of the digits is 1+0+2+5 = 8, which is not divisible by 3.
- The last digit is 5, which means it is divisible by 5.
- Not divisible by 15.
b) 2045
- The sum of the digits is 2+0+4+5 = 11, which is not divisible by 3.
- The last digit is 5, which means it is divisible by 5.
- Not divisible by 15.
c) 2015
- The sum of the digits is 2+0+1+5 = 8, which is not divisible by 3.
- The last digit is 5, which means it is divisible by 5.
- Not divisible by 15.
d) 1440
- The sum of the digits is 1+4+4+0 = 9, which is divisible by 3.
- The last digit is 0, which means it is divisible by 5.
- Divisible by 15.
Therefore, the number 1440 is divisible by 15.
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Which of the following numbers is divisible by 15?a)1025b)2045c)2015d)1440Correct answer is option 'D'. Can you explain this answer?
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