HCF and LCM 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:

1556 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:

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

1545 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 

1542 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 LCM of two numbers is 12 times their HCF. The sum of the HCF and the LCM is 403. If one of the number is 93, then the other number is. 

1537 0

  • 1
    124
    Correct
    Wrong
  • 2
    128
    Correct
    Wrong
  • 3
    134
    Correct
    Wrong
  • 4
    138
    Correct
    Wrong
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Answer : 1. "124 "

Q:

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

1510 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? 

1502 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:

A, B and C start running around a circular field having circumference 144 metre at the same time from the same point. Speeds of A, B and C are 6 m/minute, 8 m/minute and 12 m/minute. Find after how much time, they will meet again at the same point for the first time.

1498 1

  • 1
    72 minutes
    Correct
    Wrong
  • 2
    36 minutes
    Correct
    Wrong
  • 3
    144 minutes
    Correct
    Wrong
  • 4
    18 minutes
    Correct
    Wrong
  • 5
    None of these
    Correct
    Wrong
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Answer : 1. "72 minutes"

Q:

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

1497 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"

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