Exams › IBPS PO › Reasoning

If the number of blue balls in bag C is more than 8 and the number of blue balls in bag C is more than the number of green balls in that bag, and the number of green balls in bag C is a prime number, which of the following statements is/are correct? I. The total number of red and blue balls in bag D can be equal to the number of blue balls in bag C. II. The probability of picking a blue ball from bag C is less than 0.75. III. The sum of the probability of picking a green ball from bag B and the probability of picking a blue ball from bag C is always greater than one.

1. Both (II) & (III)
2. Only (I)
3. All (I), (II) & (III)
4. Only (II)
5. Both (I) & (II)

Correct answer: Only (II)

Solution

Since blue balls in bag C are more than green balls and green is a prime number, the smallest possible configuration still keeps blue below three-fourths of the total only in certain cases, making statement II the only always-correct one. Statements I and III depend on unknown values from other bags and are not निश्चितly true.

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