HCF and LCM Practice Question and Answer

Q:

Two numbers are in the ratio 3 : 4. Their L.C.M. is 84. The greater number is 

1655 0

  • 1
    28
    Correct
    Wrong
  • 2
    84
    Correct
    Wrong
  • 3
    21
    Correct
    Wrong
  • 4
    24
    Correct
    Wrong
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Answer : 1. "28"

Q:

The sum of the HCF and LCM of two numbers is 680 and the LCM is 84 times the HCF. If one of the numbers is 56, the other is : 

1646 0

  • 1
    84
    Correct
    Wrong
  • 2
    12
    Correct
    Wrong
  • 3
    8
    Correct
    Wrong
  • 4
    96
    Correct
    Wrong
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Answer : 4. "96"

Q:

The least number, which is a perfect square and is divisible by each of the numbers 16, 20 and 24 is 

1623 0

  • 1
    6400
    Correct
    Wrong
  • 2
    14400
    Correct
    Wrong
  • 3
    1600
    Correct
    Wrong
  • 4
    3600
    Correct
    Wrong
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Answer : 4. "3600 "

Q:

Two numbers are in the ratio 3: 4 if their LCM  is 240 then smaller number will be

1621 0

  • 1
    100
    Correct
    Wrong
  • 2
    80
    Correct
    Wrong
  • 3
    60
    Correct
    Wrong
  • 4
    50
    Correct
    Wrong
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Answer : 3. "60"

Q:

If (x + k ) is the common factor of x2 + ax + b and x2 + cx + d , then what is k equal to ?

1617 0

  • 1
    $$ {(d-b)\over {(c-a)}}$$
    Correct
    Wrong
  • 2
    $$ {(d-b)\over {(a-c)}}$$
    Correct
    Wrong
  • 3
    $$ {(d+b)\over {(c+a)}}$$
    Correct
    Wrong
  • 4
    $$ {(d-b)\over {(c+a)}}$$
    Correct
    Wrong
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Answer : 1. "$$ {(d-b)\over {(c-a)}}$$"

Q:

The product of two numbers is 2028 and their HCF is 13. The number of such pair is-

1617 0

  • 1
    1
    Correct
    Wrong
  • 2
    2
    Correct
    Wrong
  • 3
    3
    Correct
    Wrong
  • 4
    4
    Correct
    Wrong
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Answer : 2. "2"

Q:

If the product of two numbers is 4941 and their LCM is 81, then their HCF is:

1613 0

  • 1
    59
    Correct
    Wrong
  • 2
    60
    Correct
    Wrong
  • 3
    35
    Correct
    Wrong
  • 4
    61
    Correct
    Wrong
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Answer : 4. "61"

Q:

Three numbers which are co-prime to one another are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is: 

1609 0

  • 1
    85
    Correct
    Wrong
  • 2
    89
    Correct
    Wrong
  • 3
    75
    Correct
    Wrong
  • 4
    81
    Correct
    Wrong
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Answer : 1. "85 "

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