HCF and LCM Aptitude Questions Practice Question and Answer

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-

1170 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 least number which when divided by 4, 6, 8 and 9 leave zero remainders in each case and when divided by 13 leaves a remainder of 7 is: 

1166 0

  • 1
    85
    Correct
    Wrong
  • 2
    36
    Correct
    Wrong
  • 3
    144
    Correct
    Wrong
  • 4
    72
    Correct
    Wrong
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Answer : 4. "72 "

Q:

The ratio of two numbers is 2: 3 and their L.C.M is 48.  What is the number?

1166 0

  • 1
    8, 6
    Correct
    Wrong
  • 2
    16, 24
    Correct
    Wrong
  • 3
    18, 32
    Correct
    Wrong
  • 4
    25, 28
    Correct
    Wrong
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Answer : 2. "16, 24"

Q:

The HCF of two numbers is 4 and the two other factors of LCM are 5 and 7. Find the smaller of the two numbers.

1157 0

  • 1
    10
    Correct
    Wrong
  • 2
    14
    Correct
    Wrong
  • 3
    20
    Correct
    Wrong
  • 4
    28
    Correct
    Wrong
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Answer : 3. "20"

Q:

What is the greatest common factor of 2³ × 7² and 2⁵ × 3¹?

1146 0

  • 1
    2³ 3¹
    Correct
    Wrong
  • 2
    2³ 7² 3¹
    Correct
    Wrong
  • 3
    Correct
    Wrong
  • 4
    3¹ 7²
    Correct
    Wrong
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Answer : 3. "2³"

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 

1141 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 HCF of 60, 148 and 382.

1134 0

  • 1
    6
    Correct
    Wrong
  • 2
    24
    Correct
    Wrong
  • 3
    4
    Correct
    Wrong
  • 4
    2
    Correct
    Wrong
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Answer : 4. "2"

Q:

Find the LCM of x and (x+3).

1099 0

  • 1
    x(x+3)
    Correct
    Wrong
  • 2
    x2(x+3)
    Correct
    Wrong
  • 3
    (x+3)
    Correct
    Wrong
  • 4
    x
    Correct
    Wrong
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Answer : 1. "x(x+3)"

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