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 Select the correct option.
A) 77  B) 88  C) 99  D) 110  E) 120
Explanation:   Product of numbers = 11 x 385 = 4235   Let the numbers be 11a and 11b . Then , 11a x 11b = 4235 inline fn_jvn Rightarrow 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 75 and 125, the suitable pair is (55,77)   Hence , required number = 77. 77nswer: 77
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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