Radius of 5 circles A, B, C, D and E is compared. Radius of no two circles is same. Radius of C is more than B but less than D. Radius of E is the maximum. Radius of B is 14 cm and radius of A is 11 cm. What will be the possible radius (in cm) of circle C?
16
This is an ordering question, so first gather every comparison the statement gives about the five radii.
We are told the radius of C is more than B but less than D, which fixes the order \(B \lt C \lt D\) for those three circles.
The radius of E is the maximum, so E stands above all others, and no two circles share a radius, so every value must be strictly different.
Two exact values are given: the radius of B is 14 cm and the radius of A is 11 cm.
Because C must be more than B, the radius of C has to be strictly greater than 14 cm.
Testing the options against this condition: 14 equals B (not allowed, and not more than B), 11 and 10 are both less than 14, so all three are ruled out.
Only 16 is greater than 14 and therefore fits the requirement \(C \gt 14\) while staying below D and E.
Hence the possible radius of circle C is 16.
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Examine the information given in the following paragraph and answer the items that follow: Guest lectures on five subjects viz., Economics, History, Statistics, English and Mathematics have to be arranged in a week from Monday to Friday. Only one lecture can be arranged on each day. Economics cannot be scheduled on Tuesday. Guest faculty for History is available only on Tuesday. Mathematics lecture has to be scheduled immediately after the day of Economics lecture. English lecture has to be scheduled immediately before the day of Economics lecture. Which lecture is scheduled on Monday?
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