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Q.
Which of the following is a perfect square number?
- a)222222
- b)23453
- c)1681
- d)1057
Correct answer is option 'C'. Can you explain this answer?
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Practice Quiz or MCQ (Multiple Choice Questions) with solutions are av...
The answer is 1681 because it is the only number which has it's last digit as a number which a perfect square can have . 9×9=81 the last digit is 1.
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Practice Quiz or MCQ (Multiple Choice Questions) with solutions are av...
Perfect Square Number
A perfect square number is a number that can be expressed as the product of an integer multiplied by itself. In other words, it is the square of an integer. For example, 4, 9, 16, and 25 are perfect square numbers.
Given options:
a) 222222
b) 23453
c) 1681
d) 1057
Explanation:
To determine which of the given options is a perfect square number, we need to check if the number can be expressed as the square of an integer.
a) 222222
To check if 222222 is a perfect square number, we need to find its square root. The square root of 222222 is approximately 471.41. However, 471.41 is not an integer, so 222222 is not a perfect square number.
b) 23453
Similarly, to check if 23453 is a perfect square number, we find its square root, which is approximately 153.01. Since 153.01 is not an integer, 23453 is not a perfect square number.
c) 1681
To check if 1681 is a perfect square number, we find its square root, which is 41. Since 41 is an integer, 1681 is a perfect square number. Therefore, the correct answer is option 'C'.
d) 1057
Lastly, to check if 1057 is a perfect square number, we find its square root, which is approximately 32.53. Since 32.53 is not an integer, 1057 is not a perfect square number.
Conclusion:
Among the given options, only 1681 is a perfect square number. The other options, 222222, 23453, and 1057, are not perfect square numbers.
A perfect square number is a number that can be expressed as the product of an integer multiplied by itself. In other words, it is the square of an integer. For example, 4, 9, 16, and 25 are perfect square numbers.
Given options:
a) 222222
b) 23453
c) 1681
d) 1057
Explanation:
To determine which of the given options is a perfect square number, we need to check if the number can be expressed as the square of an integer.
a) 222222
To check if 222222 is a perfect square number, we need to find its square root. The square root of 222222 is approximately 471.41. However, 471.41 is not an integer, so 222222 is not a perfect square number.
b) 23453
Similarly, to check if 23453 is a perfect square number, we find its square root, which is approximately 153.01. Since 153.01 is not an integer, 23453 is not a perfect square number.
c) 1681
To check if 1681 is a perfect square number, we find its square root, which is 41. Since 41 is an integer, 1681 is a perfect square number. Therefore, the correct answer is option 'C'.
d) 1057
Lastly, to check if 1057 is a perfect square number, we find its square root, which is approximately 32.53. Since 32.53 is not an integer, 1057 is not a perfect square number.
Conclusion:
Among the given options, only 1681 is a perfect square number. The other options, 222222, 23453, and 1057, are not perfect square numbers.
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Practice Quiz or MCQ (Multiple Choice Questions) with solutions are available for Practice, which would help you prepare for chapter Squares and Square Roots, Class 8, Mathematics . You can practice these practice quizzes as per your speed and improvise the topic.Q.Which of the following is a perfect square number?a)222222b)23453c)1681d)1057Correct answer is option 'C'. Can you explain this answer?
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