Write a Pytagorean triplet whose one member is.(i) 6      

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 Multiple Choice QuestionsShort Answer Type

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31.

Write a Pytagorean triplet whose one member is.

(i) 6            (ii) 14             (iii) 16                (iv) 18


(i)  Let         2n = 6                    n = 3
     Now,      n2 -1 = 32 - 1 = 8
     and        n2 +1 = 32 + 1 = 10
Thus the required Pythagorean triplet is 6,8,10.

(ii)  Let         2n = 14                    n = 7
      Now,      n2 -1 = 72 - 1 = 48
      and        n2 +1 = 72 + 1 = 50
Thus the required Pythagorean triplet is 14,48,50.

(iii)  Let         2n = 16                    n = 8
       Now,      n2 -1 = 82 - 1 = 63
       and        n2 +1 = 82 + 1 = 65
The required Pythagorean triplet is 16,63,65.

(iv)  Let         2n = 18                    n = 9
     Now,      n2 -1 = 92 - 1 = 80
     and        n2 +1 = 92 + 1 = 82
The required Pythagorean triplet is 18,80,82.

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32.

Write all the square numbers between 100 and 300.

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33.

Which of the following would end with digit 9:

1232, 772, 842, 1612, and 102.

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34.

Write all the non-square numbers between 4: and 52.

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 Multiple Choice QuestionsFill In the Blanks

35.

1 + 3 + 5 + 7 + 9 + ____ = 52

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36.

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37.

(.....)2 = 112 + 113

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38.

Write the Pythagorean triplet whose smallest number is 8.

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39.

Find a Pythagorean triplet in which one member is 12.

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 Multiple Choice QuestionsShort Answer Type

40.

(i) 112 = 121. What is the square root of 121?

(ii) 142 = 196. What is the square root of 196?

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