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Question

The LCM and HCF of two numbers are 132 and 22 respectively. If one of the numbers is 132, find the other number.

This question was previously asked in
RPF Constable 2018 Question Paper PDF (16-Feb-2019) (Shift 2)
The correct answer is

22

22 is correct.

For any two numbers, the product of the numbers equals the product of their LCM and HCF.

Other number \(=\dfrac{132\times 22}{132}=22\).

Check: 22 divides 132, so the HCF of 132 and 22 is 22 and their LCM is 132.

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Important Questions from LCM and HCF

  1. The HCF and LCM of two numbers are 12 and 72, respectively. If the ratio of the two numbers is 2 ∶ 3, then the larger of the two numbers is:

  2. Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.

  3. Joseph visits the club on every 5 th day, Harsh visits on every 24 th day, while Sumit visits on every 9 th day. If all three of them met at the club on a Sunday, then on which day will all three of them meet again?

  4. What is the least number which when divided by 12,20 and 24 leaves in each case a remainder of 8?

  5. Which of the following is a pair of co-primes?

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