1. 

The towns A, B and C are on a straight line. Town C is between A and B. The distance from A to B is 100 km. How far is A from C ?

I. The distance from A to B is 25% more than the distance from C to B.

II. The distance from A to C is 1/4 of the distance from C to B.

A. I alone sufficient while II alone not sufficient to answer
B. II alone sufficient while I alone not sufficient to answer
C. Either I or II alone sufficient to answer
D. Both I and II are not sufficient to answer
E. Both I and II are necessary to answer

Answer: Option C

Explanation:

.__________.____________________.
A     x    C   (100 - x)        B       

Let AC = x km. Then, CB = (100 -x) km.


 I. AB = 125% of CB

100 = 125 x (100 - x)
100

100 - x = 100 x 100 = 80
125

x = 20 km.

AC = 20 km.

Thus, I alone gives the answer.


II. AC = 1 CB
4

x = 1 (100 - x)
4

5x = 100

x = 20.

AC = 20 km.

Thus, II alone gives the answer.

Correct answer is (C).