A, B, and C are all on a straight line. Between A and B sits the town of C. The distance between A and B is 100 kilometres. What is the distance between A and C? I.The distance between A and B is 25% more than the distance between C and B. II.The distance between A and C equals the distance between C and 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
Answer:C
A, B, and C are all on a straight line. Between A and B sits the town of C. The distance between A and B is 100 kilometres. What is the distance between A and C? I.The distance between A and B is 25% more than the distance between C and B. II.The distance between A and C equals the distance between C and 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
Explanation: I. AB is equal to 125 percent of CB125/100 x 100 x 100 x 100 x 100 x 100 x 100 (100 - x),80 = 100 - x = 100 x 100/125 ,x is equal to 20 kilometres.AC equals 20 kilometres.As a result, I am the only one who can provide an answer.II. CB = 1/4 AC,1/4 = x (100 - x),5 x 100 =x equals 20.AC equals 20 kilometres.As a result, the solution may be found just in II.