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Playing with Numbers Test - 4

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Playing with Numbers Test - 4
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Weekly Quiz Competition
  • Question 1
    1 / -0

    Statement-I: 1 is a factor of every number. 

    Statement-II: 2 is the first prime number. 

    Which of the following options is correct?

    Solution

    Statement-I Every number other than 1 has at least two factors, namely the number itself and 1

    Statement-II the first few prime numbers: 2, 3, 5, 7, 11

     

  • Question 2
    1 / -0

    What is the L.C.M. of 17 and 5?

    Solution

    The least common multiple (LCM) of two numbers is the smallest number (not zero) that is a multiple of both.

     

  • Question 3
    1 / -0

    What is the greatest number that divides 37,50 and 123 leaving remainders 1,2 and 3 respectively?

    Solution

    37-1=36, 50-2=48,123-3=120

    H.C.F. of 36, 48 and 120 =12 ∴The required number =12

     

  • Question 4
    1 / -0

    What is the H.C.F. of two co-prime numbers?

    Solution

    H.C.F. of two co-prime numbers is 1.

     

  • Question 5
    1 / -0

    A number is always divisible by 90 if

    Solution

    90 = 10*9, two relatively prime numbers. This a number is divisible by 90 iff it is divisible by 9 and 10

     

  • Question 6
    1 / -0

    What is the H.C.F. of 17 and 5?

    Solution

    Highest Common Factor(HCF) of two or more numbers is the greatest number which divides each of them exactly. 

     

  • Question 7
    1 / -0

    What is the number of prime numbers between 50 and 60?

    Solution

    prime numbers between 50 and 60: [53 and 59]

     

  • Question 8
    1 / -0

    Which of the following numbers is a perfect number?

    Solution

    A perfect number has the sum of all its factors equal to twice itself.

     

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