Data Sufficiency

Am I attacking this question correctly. Ans is A


if A 0, then c is -5 or 5. If B and C distance is 20 then if C =-5 B can be -25 or 15. If C =5 then B could be 25 or -15.

STATEMENT 1) Says that distance between A and B is 25. SO HOLDS TRUE FOR BOTH A AND C WHEN A) WHEN A=0, C=5 AND B 25.
B) IF C=-5. B=-25, A=0.
C) IF C=-5, THEN B HAS TO BE -25 0R 15. iF b IS 15 THEN A HAS TO BE -10 TO SATISFY BOTH REQUIREMENTS AND IF B -25 THEN A =0. BOTH CASES C IS ALWAYS BETWEEN A AND B

2) STATEMENT 2 IS INSUFF. jUST SAYS IT IS TO THE LEFT SO NUMEROUS POSSIBILITIES. CAN BE RIGHT NEXT TO B.

BASICALLY FOR A C CAN BE ON THE LEFT OR RIGHT, B CAN BE LEFT OR RIGHT. IF C AND B HAVE A DISTANCE OF 20 BETWEEN THEM, AND A AND B HAVE A DISTANCE OF 25 BETWEEN THEM, THEN A CANNOT BE BETWEEN C AND B.


Thanks
khurram

Hi,

So there are 4 different solutions that can be drawn from what is given in the original question

<Case> The below diagram shows that if A is on the left of C, then B can have any of the two positions identified by B1 or B2.
<B1>

<Case> The below diagram shows that if C is on the left of A, then B can again have any of the two positions identified by B3 or B4.
<B3>

Now consider statement (a), distance between point A and B can be 25 for either case 2 (A,C and B2) or for case 3 (B3, C and A). In both the cases, C is between A and B. Hence this information is sufficient.

Now consider statement (b), that is that the point A lies to the left of point B. This can happen for case 2 (A-C-B2) or for case 4 (C-A-B4). While in case2, C lies between A and B, in case4, C lies outside A and B. Hence this information is not sufficient to answer the question.

Hence the answer is [A].

Hope this helps!

Looks like the diagrams did not go with the post... lemme try again -


Case 1 & 2

==B1==========A=====C=================B2==



Case 3 & 4

==B3================C=====A===========B4==