HCF and LCM Practice Question and Answer

Q:

If the highest common factor (HCF) of x and y is 15, then the HCF of 36x2 – 81y2 and 81x2 – 9y2 is divisible by __________

5139 0

  • 1
    135
    Correct
    Wrong
  • 2
    120
    Correct
    Wrong
  • 3
    180
    Correct
    Wrong
  • 4
    90
    Correct
    Wrong
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Answer : 1. "135"

Q:

Find the HCF of 306, 204 and 136.

3119 0

  • 1
    17
    Correct
    Wrong
  • 2
    51
    Correct
    Wrong
  • 3
    34
    Correct
    Wrong
  • 4
    68
    Correct
    Wrong
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Answer : 3. "34"

Q:

The LCM of two numbers is 495 and their HCF is 5. If the sum of the numbers is 100, then their difference is: 

3033 0

  • 1
    10
    Correct
    Wrong
  • 2
    46
    Correct
    Wrong
  • 3
    70
    Correct
    Wrong
  • 4
    90
    Correct
    Wrong
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Answer : 1. "10 "

Q:

There are 24 peaches, 36 apricots and 60 bananas and they have to be arranged in several rows in such a way that every row contains the same number of fruits of only one type. What is the minimum number of rows required for this to happen? 

2829 0

  • 1
    10
    Correct
    Wrong
  • 2
    6
    Correct
    Wrong
  • 3
    12
    Correct
    Wrong
  • 4
    9
    Correct
    Wrong
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Answer : 1. "10"

Q:

If the least common multiple of two numbers, 1728 and K is 5184, then how many values of K are possible? 

2730 0

  • 1
    6
    Correct
    Wrong
  • 2
    7
    Correct
    Wrong
  • 3
    11
    Correct
    Wrong
  • 4
    8
    Correct
    Wrong
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Answer : 2. "7"

Q:

A number of friends decided to go on picnic and planned to spend Rs. 108 on eatables. Three of them however did not turn up. As a consequence, each one of the remaining had to contribute Rs 3. extra. The number of them who attended the picnic was:

2716 0

  • 1
    15
    Correct
    Wrong
  • 2
    12
    Correct
    Wrong
  • 3
    9
    Correct
    Wrong
  • 4
    6
    Correct
    Wrong
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Answer : 3. " 9"

Q:

If the four-digit number 463y is divisible by 7, then what is the value of y?

2516 0

  • 1
    4
    Correct
    Wrong
  • 2
    6
    Correct
    Wrong
  • 3
    3
    Correct
    Wrong
  • 4
    5
    Correct
    Wrong
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Answer : 1. "4"

Q:

The ratio of two numbers is 4:5 and their LCM is 120. The numbers are

2439 0

  • 1
    30, 40
    Correct
    Wrong
  • 2
    40, 32
    Correct
    Wrong
  • 3
    24, 30
    Correct
    Wrong
  • 4
    36, 20
    Correct
    Wrong
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Answer : 3. "24, 30"

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