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  1. If a, b, c are positive and a + b + c = 1, then the least value of  
    1
    		 +
    1
    		 +
    1
    		  is
    abc
    1. 9
    2. 5
    3. 3
    4. 1
Correct Option: A

The value of
1
 +
1
 +
1
 will be minimum, if values of a, b and c be maximum.
abc

a + b + c = 1
∴ Values of a, b and c will be maximum if
a = b = c
∴ a = b = c =
1
3

∴
1
 +
1
 +
1
 = 3 + 3 + 3 = 9
abc


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