Class X

y Euclid’ division lemma x=qy+r,x>y,xqyrxy the value of qq and rr for x=27x27 and y=5y5 are:
  1. q=5,r=2q5r2
  2. q=6,r=3q6r3
  3. q=5,r=3
  4. cannot be determined
How many prime factors are there in prime factorisation of 5005 ?
  1. 2
  2. 4
  3. 6
  4. 7
Which of the following is not an irrational number ?
  1. 5 - √3
  2. 5 + √3
  3. 4 + √2
  4. 5 + √9
The product of three consecutive positive integers is divisible by
  1. 4
  2. 5
  3. 6
  4. 8
Euclid’s division lemma states that for any two positive integer ‘a’ and ‘b’ there exists unique integers q and r such that a=bq+r where r must satisfy:
  1. 1 ≤ r < b
  2. 0 < r ≤ b
  3. 0 ≤ r < b
  4. 0 < r < b
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