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CAT 2006 — QA Question 2

Comparison of SurdsEasy

Which among 21/2, 31/3, 41/4 , 61/6  and 121/12  is the largest ?

Answer & solution

  • A

    21/2   

  • 31/3  

  • C

    41/4

  • D

    61/6

  • E

    121/12

Solution

Givne, 21/2, 31/3, 41/4 , 61/6  and 121/12

Raising all numbers to power 12, we get

(21/2)12, (31/3)12, (41/4)12 , (61/6)12  and (121/12)12

(26), (34), (43) , (62)  and (121)

64, 81, 64, 36, 12

Since 81 is the higest number here, 31/3 will be the highest of the original numbers.

Hence, option (b).

CAT 2006 QA Q2: Which among 2 1/2 , 3 1/3 , 4 1/4 , 6 1/6 and 12 1/12 is the largest ? — Solution | TheCATExam