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67,  146, 363, 10003 are not perfect ...

67,  146, 363, 10003 are not perfect squares as they leave remainder 3,2,3 and 3 respectively, when divided by 4,

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RD SHARMA ENGLISH-SQUARES AND SQUARE ROOTS-All Questions
  1. Explain why none of the numbers out of following is a perfect square. ...

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  2. 635, 98, 122 are not perfect squares as they leave remainder 2 when...

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  3. 67,  146, 363, 10003 are not perfect squares as they leave remainde...

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  4. Find the square root of the following number by prime factorization....

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  5. (3,4,5),\ (5, 12 , 13),\ (8, 15 ,\ 17) etc. are Pythagorean triplets, ...

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  6. Write a Pythagorean triplet whose one member is : (I)6             ...

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  7. The following numbers are not perfect squares. Give reason. (I)1057 ...

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  8. What will be the units digit of the squares of the following numbers...

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  9. Which of the following end with digit 1 ? 123^2,\ 77^2,\ 82^2,\ 161^2...

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  10. Determine whether squares of the following numbers are even or odd. ...

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  11. The following numbers are not perfect squares. Given reason. (I)640...

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  12. write a Pythagorean triplet whose one member is (I)14             ...

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  13. Without adding, find the sum: i) 1+3+5+7+9\ ii) \ 1+3+5+7+9+11...

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  14. Express: 49 as the sum of 7 0dd natural numbers. 121 as the sum of ...

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  15. How many natural numbers lie between squares of the following natura...

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  16. Express each of the following as the sum of two consecutive natural ...

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  17. Find whether 55 is a perfect square or not?

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  18. Observe the following pattern and find the missing digits: 11^2=121...

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  19. Observe the following pattern and supply the missing numbers. (i) 11...

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  20. Using the given pattern, find the missing numbers: 1^2+2^2+2^2=3^2...

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