Multiple choice

In the given questions, two quantities are given, one as ‘Quantity I’ and another as ‘Quantity II’. You have to determine the relationship between two quantities and choose the appropriate option: Quantity I: A bag contains 50 balls which are pink, violet and red. Find the number of violet balls in the bag, if the probability of picking a pink ball is 3/5 and that of either a pink or violet ball is 4/5. Quantity II: A bag contains 40 balls pink, violet and red. The probability of picking a violet ball is 3/8. If the first ball was violet and without replacement, the probability of picking a pink ball is 4/13. Find the number of red balls.

  1. Quantity I < Quantity II

  2. Quantity I > Quantity II

  3. Quantity I ≤ Quantity II

  4. Quantity I ≥ Quantity II

  5. Quantity I = Quantity II or relationship cannot be established
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Quantity I: P(pink) = 3/5 means pink = 30. P(pink or violet) = 4/5 means pink+violet = 40. So violet = 10. Quantity II: P(violet) = 3/8 means violet = 15. After removing 1 violet, pink = 16 (since 16/39 = 4/13 after removing violet). Total = 40, so pink + violet + red = 40, giving 16 + 15 + red = 40, so red = 9. So Quantity I = 10, Quantity II = 9. Answer A is correct.

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