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Last year my age was a perfect square number .next year it will be a cubic number. What is my present age?
- a)26 years
- b)24 years
- c)25 years
- d)27 years
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Last year my age was a perfect square number .next year it will be a c...
Last year my age was a perfect square number = 25
Next year it will be a cubic number = 27
∴my present age = 26 years
Next year it will be a cubic number = 27
∴my present age = 26 years
Most Upvoted Answer
Last year my age was a perfect square number .next year it will be a c...
Present Age:
Let's assume the present age as x.
Last Year's Age:
Last year, the age would have been x - 1.
Perfect Square Number:
A perfect square number is a number that can be expressed as the product of two equal integers. For example, 4, 9, 16, etc. are perfect square numbers.
Next Year's Age:
Next year, the age will be x + 1.
Cubic Number:
A cubic number is a number that can be expressed as the product of three equal integers. For example, 8, 27, 64, etc. are cubic numbers.
Analysis:
According to the given information, last year's age (x - 1) was a perfect square number, and next year's age (x + 1) will be a cubic number.
To find the present age, we need to find a number that satisfies both conditions.
Perfect Square Number:
Let's check the perfect square numbers for the last year's age (x - 1):
- If x - 1 = 4, then x = 5. But (x + 1) = 6, which is not a cubic number.
- If x - 1 = 9, then x = 10. But (x + 1) = 11, which is not a cubic number.
- If x - 1 = 16, then x = 17. But (x + 1) = 18, which is not a cubic number.
- If x - 1 = 25, then x = 26. And (x + 1) = 27, which is a cubic number.
Therefore, the present age is 26 years (option A).
Let's assume the present age as x.
Last Year's Age:
Last year, the age would have been x - 1.
Perfect Square Number:
A perfect square number is a number that can be expressed as the product of two equal integers. For example, 4, 9, 16, etc. are perfect square numbers.
Next Year's Age:
Next year, the age will be x + 1.
Cubic Number:
A cubic number is a number that can be expressed as the product of three equal integers. For example, 8, 27, 64, etc. are cubic numbers.
Analysis:
According to the given information, last year's age (x - 1) was a perfect square number, and next year's age (x + 1) will be a cubic number.
To find the present age, we need to find a number that satisfies both conditions.
Perfect Square Number:
Let's check the perfect square numbers for the last year's age (x - 1):
- If x - 1 = 4, then x = 5. But (x + 1) = 6, which is not a cubic number.
- If x - 1 = 9, then x = 10. But (x + 1) = 11, which is not a cubic number.
- If x - 1 = 16, then x = 17. But (x + 1) = 18, which is not a cubic number.
- If x - 1 = 25, then x = 26. And (x + 1) = 27, which is a cubic number.
Therefore, the present age is 26 years (option A).
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Last year my age was a perfect square number .next year it will be a cubic number. What is my present age?a)26 yearsb)24 yearsc)25 yearsd)27 yearsCorrect answer is option 'A'. Can you explain this answer?
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