Which is the correct form of Euclid’s division algorithm or

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 Multiple Choice QuestionsMultiple Choice Questions

141. 
fraction numerator 139 over denominator 2 squared.5 to the power of 7.17 to the power of 5 end fraction space equals space can space be space straight a
  • terminating decimal 
  • non-terminating decimal
  • non-terminating repeating decimal 
  • non-terminating repeating decimal 
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142.  7 × 6 × 5 × 4 × 3 × 1 × 1 is a
  • composite number

  • composite number

  • any natural number
  • any natural number
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143. The H.C.F. of 867 and 225 (Using Euclid’s division algorithm) is
  • 51
  • 15
  • 50
  • 50
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144.  n, n + 2 or n + 4 is divisible by (where n ∊ any positive integer)
  • 5
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145.  8n; n ∊ N cannot ends with :
  • 2

  • 8

  • 0

  • 0

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146. Give that L.C.M. (26, 169) = 338, H.C.F. (26, 169) is
  • 31

  • 32

  • 33

  • 33

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147.  Cube of any positive integers can be expressed as :
  • 9q + 1 
  • 9q 4 + 8 
  • both (a) and (b)
  • both (a) and (b)
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148.  Which is the correct form of Euclid’s division algorithm or Euclid’s division Lemma ?
  •  a = bq + r, 0 ≤ r < b; a, b, q, r ∊ Integers
  • a = bq - r, 0 ≤ r < b
  • a = bq - r, 0 ≤ r < b
  • a = bq - r, 0 ≤ r < b


A.

 a = bq + r, 0 ≤ r < b; a, b, q, r ∊ Integers
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 Multiple Choice QuestionsShort Answer Type

149.

What is the HCF of the smallest prime number and the smallest composite number?


150.

Given that 2 is irrational, prove that (5 + 32) is an irrational number.


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