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How many natural numbers lie between squ...

How many natural numbers lie between squares of the following natural numbers? (I)12 and 13        (ii)  25 and 26         (iii)  99 and 100

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RD SHARMA ENGLISH-SQUARES AND SQUARE ROOTS-All Questions
  1. Without adding, find the sum: i) 1+3+5+7+9\ ii) \ 1+3+5+7+9+11...

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

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

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

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

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

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

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

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  9. Using suitable patterns, compute the following : (I)(333^2)/(12321)=...

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  10. The following numbers are not perfect squares. Give reason. (I)1547...

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  11. Show that the following numbers are not perfect squares: (I)9327    ...

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  12. The square of which of the following numbers would be an odd numbers...

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

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  14. Observe the following pattern 1+3=2^2 1+3+5=3^2 1+3+5+7=4^2 and wr...

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  15. Observe the following pattern 2^2-1^2=2+1 3^2-2^2=3+2 4^2-3^2=4+3 ...

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  16. Which of the following triplets are Pythagorean? (I)(8,\ 15 , 17) ...

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  17. Observe the following pattern (1xx2)+(2xx3)=(2xx3xx4)/3, (1xx2)+(2xx3...

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  18. Observe the following pattern 1=1/2{1xx(1+1)}, 1+2=1/2{2xx(2+1)}, 1...

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  19. Observe the following pattern 1^2=1/6[1xx(1+1)xx(2xx1+1)], 1^2+2^2=1...

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  20. Which of the following square numbers are squares of even numbers ? ...

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