Q:
      
      
         
            
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
         
       
      
      
      
          
      
      
          Answer & Explanation
         Answer: A) 77         
         
Explanation: 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 75 and 125, the suitable pair is  (55,77)
 
Hence , required number = 77
       
      
      
      
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