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Question

The LCM of two numbers is 84. If the numbers are in the ratio 2 : 3, then the sum of the numbers is:

This question was previously asked in
RRB NTPC 2024 Undergraduate CBT 1 Question Paper (29-Aug-2025) (Shift 1)
The correct answer is

70

The correct answer is Option 2 i.e. 70.

Let the numbers be 2x and 3x

LCM(2x and 3x) = 6x

⇒ 6x = 84

⇒ x = 14

Sum = 2x + 3x = 5x = 70

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Similar Questions

  1. The HCF of the numbers 310, 208, and 180 is:

  2. If LCM(27, n) = 54, and HCF(27, n) = 9, then the value of n is:

  3. The HCF of two numbers is 9 and their LCM is 252. The sum of numbers is:

  4. What is the difference between the HCF and LCM of 184 and 345?
  5. The HCF of two numbers is 9 and their LCM is 252. The sum of numbers is:
  6. The HCF of two numbers is 62, and the other two factors of the LCM of these factors are 7 and 9. Which of the options given below can be a possible value of the smaller of the two numbers?

  7. Three bells ring at intervals of 15, 30 and 45 minutes respectively. At what time will they ring together again, if they rang simultaneously at 8.00 AM?
  8. Find the least number which when divided by 5, 6 and 7 leaves remainders 4, 5 and 6.
  9. The LCM of 24, 42, and 56 is:

  10. The HCF of 450, 1050, and 1650 is:


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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