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The H.C.F. of two numbers is 11 and their L.C.M. is 7700. If one of the numbers is 275, then the other is:
  • a)
    269
  • b)
    275
  • c)
    308
  • d)
    310
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The H.C.F. of two numbers is 11 and their L.C.M. is 7700. If one of th...
Other number =[11 x 7700]/275 = 308
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The H.C.F. of two numbers is 11 and their L.C.M. is 7700. If one of th...
Given data:
H.C.F. of two numbers = 11
L.C.M. of two numbers = 7700
One of the numbers = 275

To find:
The other number.

Solution:
Let the other number be x.
From the given data, we know that:

H.C.F. of two numbers × L.C.M. of two numbers = product of two numbers
11 × 7700 = 275 × x
x = (11 × 7700) / 275
x = 308

Therefore, the other number is 308.

Answer: Option C.
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The H.C.F. of two numbers is 11 and their L.C.M. is 7700. If one of the numbers is 275, then the other is:a)269b)275c)308d)310e)None of theseCorrect answer is option 'C'. Can you explain this answer?
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