Multiple choice

Directions: Compare Quantity I and Quantity II using additional information given above the two quantities, if such information is given, and select one of the following five answer choices. There are 51 playing cards in a box with numbering from 1 to 51. There is no repetition of numbers. Quantity I: Probability of picking up a card whose digits, if interchanged, result in a number which is 9 less than the original number. Quantity II: Probability of picking up a card, the number on which is a multiple of 6 but not that of 9.

  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 no relation can be established.

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Quantity I: Numbers where interchanging digits reduces value by 9 (e.g., 21-12=9, 32-23=9). Possible numbers: 21, 32, 43, 54(out). Total 3/51. Quantity II: Multiples of 6 (6, 12, 18, 24, 30, 36, 42, 48) excluding multiples of 9 (18, 36). Remaining: 6, 12, 24, 30, 42, 48. Total 6/51. 3/51 < 6/51.