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Without doing any calculation, find the numbers which are surely perfect squares.
- a)441
- b)408
- c)153
- d)257
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Without doing any calculation, find the numbers which are surely perfe...
The perfect squares have 0,1,2,4,5,6 or 9 at their units place.
Therefore153,257 and 408 are surely not perfect squares.
Therefore153,257 and 408 are surely not perfect squares.
Most Upvoted Answer
Without doing any calculation, find the numbers which are surely perfe...
Because this unit digit is 1 and 1 is
not match in 2'3'7'8 so 441 is perfect square
not match in 2'3'7'8 so 441 is perfect square
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Without doing any calculation, find the numbers which are surely perfe...
Explanation:
A perfect square is a number which is obtained by multiplying two equal integers. For example, 9 is a perfect square because it is obtained by multiplying 3 and 3. Similarly, 16 is a perfect square because it is obtained by multiplying 4 and 4.
To determine if a number is a perfect square or not, we can use the following rules:
- If the last digit of a number is 2, 3, 7, or 8, then it is not a perfect square.
- If the sum of the digits of a number is divisible by 3, then the number is divisible by 3 and hence it may be a perfect square.
- If a number ends with a 5 or a 0, then it is divisible by 5 and hence it may be a perfect square.
- If a number is divisible by 4, then it may be a perfect square.
- If a number is divisible by 9, then it may be a perfect square.
Using these rules, we can determine that:
- Option A: 441 is a perfect square because it ends with a 1 and its digits add up to 9, which is divisible by 3.
- Option B: 408 is not a perfect square because it ends with an 8, which is not a valid digit for a perfect square.
- Option C: 15 is not a perfect square because it does not end with a 1, 4, 5, 6, or 9, and its digits do not add up to a multiple of 3.
- Option D: 257 is not a perfect square because it does not end with a valid digit for a perfect square and its digits do not add up to a multiple of 3.
Therefore, the only number which is surely a perfect square is option A: 441.
A perfect square is a number which is obtained by multiplying two equal integers. For example, 9 is a perfect square because it is obtained by multiplying 3 and 3. Similarly, 16 is a perfect square because it is obtained by multiplying 4 and 4.
To determine if a number is a perfect square or not, we can use the following rules:
- If the last digit of a number is 2, 3, 7, or 8, then it is not a perfect square.
- If the sum of the digits of a number is divisible by 3, then the number is divisible by 3 and hence it may be a perfect square.
- If a number ends with a 5 or a 0, then it is divisible by 5 and hence it may be a perfect square.
- If a number is divisible by 4, then it may be a perfect square.
- If a number is divisible by 9, then it may be a perfect square.
Using these rules, we can determine that:
- Option A: 441 is a perfect square because it ends with a 1 and its digits add up to 9, which is divisible by 3.
- Option B: 408 is not a perfect square because it ends with an 8, which is not a valid digit for a perfect square.
- Option C: 15 is not a perfect square because it does not end with a 1, 4, 5, 6, or 9, and its digits do not add up to a multiple of 3.
- Option D: 257 is not a perfect square because it does not end with a valid digit for a perfect square and its digits do not add up to a multiple of 3.
Therefore, the only number which is surely a perfect square is option A: 441.
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Without doing any calculation, find the numbers which are surely perfect squares.a)441b)408c)153d)257Correct answer is option 'A'. Can you explain this answer?
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Without doing any calculation, find the numbers which are surely perfect squares.a)441b)408c)153d)257Correct answer is option 'A'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Without doing any calculation, find the numbers which are surely perfect squares.a)441b)408c)153d)257Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Without doing any calculation, find the numbers which are surely perfect squares.a)441b)408c)153d)257Correct answer is option 'A'. Can you explain this answer?.
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