Multiple choice

In the following questions, three quantities are given as Quantity I ,Quantity II and Quantity III . Find the correct relationship Quantity I :- If the difference between compound interest and simple interest at 12 % per annum in 2 years is 1296 . Quantity II :- If the compound interest of two years, at the rate in which a sum of Rs 512 becomes Rs 729 in 3 years , is Rs 21250. Quantity III:- There are 5 couples who want to sit at different positions. Number of ways in which men and women sit at alternate positions.

  1. Quantity I > Quantity II < Quantity III

  2. Quantity I > Quantity III > Quantity II

  3. Quantity I > Quantity II = Quantity III

  4. Quantity I = Quantity II ≤ Quantity III

  5. Quantity I > Quantity II > Quantity III
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Quantity I: For the difference between CI and SI at 12% for 2 years being 1296, the formula gives P = 1296/0.0144 = 90,000. Quantity II: 512 becomes 729 in 3 years gives rate = 12.5%. CI for 2 years at 12.5% being 21250 gives principal = 80,000. Quantity III: 5 men can sit in 5! = 120 ways, 5 women can sit in alternate 5 positions in 5! = 120 ways. Total arrangements = 120 x 120 = 14,400. Therefore Quantity I (90,000) > Quantity III (14,400) > Quantity II (80,000), matching option B.

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