HCF and LCM Aptitude Questions Practice Question and Answer

Q:

A six digit number is formatted by repeating a three digit number: for example, 256, 256 or 678, 678 etc. Any number of this form is always exactly divisible by:

1628 0

  • 1
    7 only
    Correct
    Wrong
  • 2
    11 only
    Correct
    Wrong
  • 3
    13 only
    Correct
    Wrong
  • 4
    1001 only
    Correct
    Wrong
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Answer : 4. "1001 only "

Q:

The greatest number, which when divides 989 and 1327 leave remainder 5 and 7 respectively: 

1628 0

  • 1
    8
    Correct
    Wrong
  • 2
    16
    Correct
    Wrong
  • 3
    24
    Correct
    Wrong
  • 4
    32
    Correct
    Wrong
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Answer : 3. "24"

Q:

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

1626 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:

When a number is divided by 15, 20 or 35, each time the remainder is 8. Then the smallest number is 

1624 0

  • 1
    328
    Correct
    Wrong
  • 2
    338
    Correct
    Wrong
  • 3
    428
    Correct
    Wrong
  • 4
    427
    Correct
    Wrong
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Answer : 3. "428 "

Q:

The product of the LCM and HCF of two numbers is 24. The difference of the two numbers is 2. Find the numbers? 

1582 0

  • 1
    2 and 4
    Correct
    Wrong
  • 2
    6 and 4
    Correct
    Wrong
  • 3
    8 and 6
    Correct
    Wrong
  • 4
    8 and 10
    Correct
    Wrong
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Answer : 2. "6 and 4"

Q:

The greatest number, which when subtracted from 5834, gives a number exactly divisible by each of 20, 28, 32 and 35, is 

1567 0

  • 1
    1120
    Correct
    Wrong
  • 2
    4714
    Correct
    Wrong
  • 3
    5200
    Correct
    Wrong
  • 4
    5600
    Correct
    Wrong
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Answer : 2. "4714 "

Q:

The H.C.F. of two numbers is 8. Which one of the following can never be their L.C.M? 

1567 0

  • 1
    24
    Correct
    Wrong
  • 2
    48
    Correct
    Wrong
  • 3
    56
    Correct
    Wrong
  • 4
    60
    Correct
    Wrong
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Answer : 4. "60"

Q:

The largest 4 - digit number exactly divisible by each of 12, 15, 18 and 27 is : 

1564 0

  • 1
    9930
    Correct
    Wrong
  • 2
    9960
    Correct
    Wrong
  • 3
    9690
    Correct
    Wrong
  • 4
    9720
    Correct
    Wrong
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Answer : 4. "9720 "

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