InterviewSolution
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The H.c.f. And L.c.m. Of Two Numbers Are 11 And 385 Respectively. If One Number Lies Between 75 And 125, Then That Number Is? |
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Answer» Product of numbers = 11 x 385 = 4235. Let the numbers be 11a and 11b. Then 11a x 11b = 4235 ab = 35 Now, co-primes with product 35 are (1, 35) and (5, 7). So, the numbers are (11 x 1, 11 x 35) and (11 x 5, 11 x 7). Since one NUMBER lies between 75 and 125, the suitable pair is (55, 77) Hence, required number = 77. Product of numbers = 11 x 385 = 4235. Let the numbers be 11a and 11b. Then 11a x 11b = 4235 ab = 35 Now, co-primes with product 35 are (1, 35) and (5, 7). So, the numbers are (11 x 1, 11 x 35) and (11 x 5, 11 x 7). Since one number lies between 75 and 125, the suitable pair is (55, 77) Hence, required number = 77. |
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