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712 - 412 is exactly divisible by which of the following number ?
- a)34
- b)33
- c)35
- d)36
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
712- 412is exactly divisible by which of the following number ?a)34b)3...
xn - yn is divisible by x + y and x - y for all n.
712 - 412 is divisible by 7 + 4 and 7 - 4
⇒ 712 - 412 is divisible by 11 x 3 = 33
712 - 412 is divisible by 7 + 4 and 7 - 4
⇒ 712 - 412 is divisible by 11 x 3 = 33
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Community Answer
712- 412is exactly divisible by which of the following number ?a)34b)3...
Divisibility Rule:
To find out if a number is exactly divisible by another number, we need to check if the remainder is 0 when the first number is divided by the second number.
Given Numbers:
- Dividend: 712
- Divisor: 33
Calculation:
- When 712 is divided by 33, the remainder is 13.
- Therefore, 712 is not exactly divisible by 33.
- When 712 is divided by 34, the remainder is 0.
- Therefore, 712 is exactly divisible by 34.
- When 712 is divided by 35, the remainder is 22.
- Therefore, 712 is not exactly divisible by 35.
- When 712 is divided by 36, the remainder is 20.
- Therefore, 712 is not exactly divisible by 36.
Conclusion:
- The number 712 is exactly divisible by 34, as the remainder is 0 when 712 is divided by 34.
- Hence, the correct answer is option 'b) 33'.
To find out if a number is exactly divisible by another number, we need to check if the remainder is 0 when the first number is divided by the second number.
Given Numbers:
- Dividend: 712
- Divisor: 33
Calculation:
- When 712 is divided by 33, the remainder is 13.
- Therefore, 712 is not exactly divisible by 33.
- When 712 is divided by 34, the remainder is 0.
- Therefore, 712 is exactly divisible by 34.
- When 712 is divided by 35, the remainder is 22.
- Therefore, 712 is not exactly divisible by 35.
- When 712 is divided by 36, the remainder is 20.
- Therefore, 712 is not exactly divisible by 36.
Conclusion:
- The number 712 is exactly divisible by 34, as the remainder is 0 when 712 is divided by 34.
- Hence, the correct answer is option 'b) 33'.
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712- 412is exactly divisible by which of the following number ?a)34b)33c)35d)36Correct answer is option 'B'. Can you explain this answer?
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