HCF and LCM Aptitude Questions Practice Question and Answer

Q:

What is the L.C. M of  $$ {2\over 5},{3\over 10},{4\over 15}$$.

604 0

  • 1
    $$ {12\over 15}$$
    Correct
    Wrong
  • 2
    $$ {1\over 30}$$
    Correct
    Wrong
  • 3
    $$ {12\over 5}$$
    Correct
    Wrong
  • 4
    None of these
    Correct
    Wrong
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Answer : 3. "$$ {12\over 5}$$"

Q:

The L.C.M and H.C.F of the two numbers are 84 and 21 respectively. If the numbers have a ratio of 1: 4, what is the larger number?

656 0

  • 1
    56
    Correct
    Wrong
  • 2
    84
    Correct
    Wrong
  • 3
    82
    Correct
    Wrong
  • 4
    15
    Correct
    Wrong
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Answer : 2. "84"

Q:

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

757 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:

What is the highest common factor of 2x3 + x2 -x -2 and 3x3- 2x2 + x - 2 ? 

1127 0

  • 1
    x – 1
    Correct
    Wrong
  • 2
    x + 1
    Correct
    Wrong
  • 3
    2x + 1
    Correct
    Wrong
  • 4
    2x – 1
    Correct
    Wrong
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Answer : 1. " x – 1"

Q:

The HCF and LCM of two numbers are 21 and 4641 respectively. If one of the numbers lies between 200 and 300, then the two numbers are-

790 0

  • 1
    273, 357
    Correct
    Wrong
  • 2
    273,361
    Correct
    Wrong
  • 3
    273, 359
    Correct
    Wrong
  • 4
    273, 363
    Correct
    Wrong
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Answer : 1. "273, 357"

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 : 

947 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:

Three men step off together from the same spot. Their steps measure 63 cm, 70 cm and 77 cm respectively. The minimum distance each should cover so that all can cover the distance in complete steps is 

756 0

  • 1
    9630 cm
    Correct
    Wrong
  • 2
    9360 cm
    Correct
    Wrong
  • 3
    6930 cm
    Correct
    Wrong
  • 4
    6950 cm
    Correct
    Wrong
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Answer : 3. "6930 cm"

Q:

Find the L.C.M of $$ {6x}{y^{2}z},{8x^{2}{y^{3}z^{2},{12{x^{3}{y^{3}z^{3}}}}}}$$.

821 0

  • 1
    2xyz
    Correct
    Wrong
  • 2
    $$ {4x}{y^{2}z}$$
    Correct
    Wrong
  • 3
    $$ {3x}{y^{2}z}$$
    Correct
    Wrong
  • 4
    $$ {2x}{y^{2}z}$$
    Correct
    Wrong
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Answer : 4. "$$ {2x}{y^{2}z}$$"

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