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Quiz: Number System and HCF & LCM

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Number of Questions: 43

Question: 16 -

What is the largest 4 digit number exactly divisible by 88?

Options:
  1. 9988
  2. 9900

  3. 9944

  4. 9999
    5. Answer:

    9944
    Solution:

    Largest 4 digit number = 9999
    9999 ÷ 88 = 113, remainder = 55
    Hence largest 4 digit number exactly divisible by 88
    = 9999 - 55 = 9944

Question: 17 -

The sum of three consecutive integers is 102. Find the lowest of the three?

Options:

  1. 33

  2. 40

  3. 29

  4. 53

    5. Answer:

    33
    Solution:

    Three consecutive numbers can be taken as (P - 1), P, (P + 1).
    So, (P - 1) + P + (P + 1) = 102
    3P = 102 => P = 34.
    The lowest of the three = (P - 1) = 34 - 1 = 33.

Question: 18 -

If the number 481x673 is completely divisible by 9, what is the the smallest whole number in place of x?

Options:

  1. 9

  2. 7

  3. 3

  4. 5

    5. Answer:

    7
    Solution:

    Adding all the numbers 4+8+1+x+6+7+3 = 29
    2+9 = 11
    similarly 1+1 =2
    as a the sum of digits in a number should be equal to 9 for the number to be divisible by 9,
    so x = 9-2 = 7

Question: 19 -

 The sum of the two digits of a number is 10. If the number is subtracted from the number obtained by reversing its digits, the result is 54. Find the number?

Options:

  1. 34

  2. 12

  3. 17

  4. 28

    5. Answer:

    28
    Solution:

    Any two digit number can be written as (10P + Q), 
    where P is the digit in the tens place and Q is the 
    digit in the units place.
    P + Q = 10 ----- (1)
    (10Q + P) - (10P + Q) = 54
    9(Q - P) = 54
    (Q - P) = 6 ----- (2)
    Solve (1) and (2) P = 2 and Q = 8
    The required number is = 28

Question: 20 -

 How many of the following numbers are divisible by 132? 264, 396, 462, 792, 968, 2178, 5184, 6336

Options:

  1. 3

  2. 8

  3. 6

  4. 4

    5. Answer:

    4
    Solution not available.