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Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is / are sufficient to answer the given question. Read the both statements and



  • Give answer (A) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.

  • Give answer (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 the question.

  • Give answer (C) if the data either in Statement I or in Statement II alone are sufficient to answer the question.

  • Give answer (D) if the data even in both Statements I and II together are not sufficient to answer the question.

  • Give answer(E) if the data in both Statements I and II together are necessary to answer the question.




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?

Options:
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


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

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


 I. AB = 125% of CB



The Towns A, B And C Are On A Straight Line. Town C Is Betwe... 100 =
125
x (100 - x)
100



The Towns A, B And C Are On A Straight Line. Town C Is Betwe... 100 - x =
100 x 100
= 80
125


The Towns A, B And C Are On A Straight Line. Town C Is Betwe... x = 20 km.


The Towns A, B And C Are On A Straight Line. Town C Is Betwe... AC = 20 km.


Thus, I alone gives the answer.



II. AC =
1
CB
4



The Towns A, B And C Are On A Straight Line. Town C Is Betwe... x =
1
(100 - x)
4


The Towns A, B And C Are On A Straight Line. Town C Is Betwe... 5x = 100


x = 20.


The Towns A, B And C Are On A Straight Line. Town C Is Betwe... AC = 20 km.


Thus, II alone gives the answer.


The Towns A, B And C Are On A Straight Line. Town C Is Betwe... Correct answer is (C).


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