XAT · 2011 · Question 28 of 33

XAT 2011 QA Question 28 · Algebra - Linear Equations

Answer it first: the answer and the solution appear right after.

Questions on this set: Q23 Q24 Q25 Q26 Q27 Q28 Q29 Q30 Q31 Q32 Q33

Answer the following question based on the information given below.

From a group of 545 contenders, a party has to select a leader. Even after holding a series of meetings, the politicians and the general body failed to reach a consensus. It was then proposed that all 545 contenders be given a number from 1 to 545. Then they will be asked to stand on a podium in a circular arrangement, and counting would start from the contender numbered 1. The counting would be done in a clockwise fashion. The rule is that every alternate contender would be asked to step down as the counting continued, with the circle getting smaller and smaller, till only one person remains standing. Therefore the first person to be eliminated would be the contender numbered 2.

Q28 Algebra - Linear Equations MULTIPLE CHOICE

Consider a square ABCD of side 60 cm. lt contains arcs BD and AC drawn with centres at A and D respectively. A circle is drawn such that it is tangent to side AB, and the arcs BD and AC. What is the radius of the circle?

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