Question

The towns A, Band C lie on a straight line. C is between A and B. The distance from A to B is 100 miles. How far is it from A to 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 $\frac{1}{4}$ the distance from C to B

• A. lf the data in statement I alone are sufficient to answer the questions, while the data in statement II alone are not sufficient to answer questions
• B. If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer questions
• C. If the data even in both statements I and II together are not sufficient to answer the question
• D. If the data in both statements I and II together are necessary to answer the questions

Answer 1

The correct option is D If the data in both statements I and II together are necessary to answer the questions

AB=100AB=100 miles and AC+CB=100milesAC+CB=100miles.
(I) ⇒AB=CB(1+25100)⇒AB=CB(1+25100)
⇒100=54CB⇒CB=80miles⇒100=54CB⇒CB=80miles
(II) ⇒AC=14(CB)⇒AC=14(CB)
Hence, question can be answered using both statements together.