question_answer

If A is the HCF of 546, 294 and 3066; and B is the L.C.M of 42, 14 and 21, what is the relationship between A and B?

A)  \[=(99-10)+1=89+1=90\]           

B)  \[=(999-100)+1\]

C)  \[=899+1=900\]                  

D) None of these

Correct Answer: A

Solution :

 \[q\ne 0\] \[\frac{a}{b}\] \[\frac{c}{d}\] \[\frac{a}{b},\frac{c}{d}\in Q\] B = LCM of 42, 14 and \[a,b,c,d\in I,b\ne 0,d\ne 0\] clearly, A = B