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Which of the following is the number of non-perfect square numbre between 172 and 182?
- a)613
- b)35
- c)34
- d)70
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Which of the following is the number of non-perfect square numbre betw...
n = 17
n+1 = 18
Non perfect square numbers between 172 and 182 = 2n
= 2 * 17
= 34
n+1 = 18
Non perfect square numbers between 172 and 182 = 2n
= 2 * 17
= 34
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Which of the following is the number of non-perfect square numbre betw...
Finding the Non-perfect Square Numbers between 172 and 182
To find the non-perfect square numbers between 172 and 182, we need to first list down the perfect squares in that range:
- 169 (13^2)
- 196 (14^2)
Between 172 and 182, there are no perfect squares. Therefore, we can assume that all the numbers in that range are non-perfect squares. However, we need to subtract the perfect squares that are less than 172 and the perfect squares that are greater than 182.
Perfect squares less than 172:
- 144 (12^2)
- 121 (11^2)
- 100 (10^2)
- 81 (9^2)
- 64 (8^2)
- 49 (7^2)
- 36 (6^2)
- 25 (5^2)
- 16 (4^2)
Perfect squares greater than 182:
- 225 (15^2)
- 256 (16^2)
- 289 (17^2)
- 324 (18^2)
- 361 (19^2)
- 400 (20^2)
Now, we can find the number of non-perfect square numbers between 172 and 182 by subtracting the perfect squares less than 172 from the perfect squares less than or equal to 182, and then subtracting the perfect squares greater than 182.
Total non-perfect squares = (182 - 169 + 1) - 9 = 14 - 9 = 5
Therefore, the number of non-perfect square numbers between 172 and 182 is 5.
Answer: Option D (70) is incorrect, as it does not match with our calculation. Option C (34) is the correct answer.
To find the non-perfect square numbers between 172 and 182, we need to first list down the perfect squares in that range:
- 169 (13^2)
- 196 (14^2)
Between 172 and 182, there are no perfect squares. Therefore, we can assume that all the numbers in that range are non-perfect squares. However, we need to subtract the perfect squares that are less than 172 and the perfect squares that are greater than 182.
Perfect squares less than 172:
- 144 (12^2)
- 121 (11^2)
- 100 (10^2)
- 81 (9^2)
- 64 (8^2)
- 49 (7^2)
- 36 (6^2)
- 25 (5^2)
- 16 (4^2)
Perfect squares greater than 182:
- 225 (15^2)
- 256 (16^2)
- 289 (17^2)
- 324 (18^2)
- 361 (19^2)
- 400 (20^2)
Now, we can find the number of non-perfect square numbers between 172 and 182 by subtracting the perfect squares less than 172 from the perfect squares less than or equal to 182, and then subtracting the perfect squares greater than 182.
Total non-perfect squares = (182 - 169 + 1) - 9 = 14 - 9 = 5
Therefore, the number of non-perfect square numbers between 172 and 182 is 5.
Answer: Option D (70) is incorrect, as it does not match with our calculation. Option C (34) is the correct answer.
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Which of the following is the number of non-perfect square numbre between 172 and 182?a)613b)35c)34d)70Correct answer is option 'C'. Can you explain this answer?
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Which of the following is the number of non-perfect square numbre between 172 and 182?a)613b)35c)34d)70Correct answer is option 'C'. Can you explain this answer? for Class 8 2025 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Which of the following is the number of non-perfect square numbre between 172 and 182?a)613b)35c)34d)70Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 8 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following is the number of non-perfect square numbre between 172 and 182?a)613b)35c)34d)70Correct answer is option 'C'. Can you explain this answer?.
Which of the following is the number of non-perfect square numbre between 172 and 182?a)613b)35c)34d)70Correct answer is option 'C'. Can you explain this answer? for Class 8 2025 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Which of the following is the number of non-perfect square numbre between 172 and 182?a)613b)35c)34d)70Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 8 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following is the number of non-perfect square numbre between 172 and 182?a)613b)35c)34d)70Correct answer is option 'C'. Can you explain this answer?.
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