Statement 1: Ramesh has four balls (basketball and football). Statement 2: Two…
2017
Statement 1: Ramesh has four balls (basketball and football). Statement 2: Two of the balls are red and other two are blue. Statement 3: Half of the balls are basketball.
If the above statements are true then which of the following statement must also be true? I. At least one basketball is red. II. Two of the balls are football. III. The footballs are of blue colour.
- A.
I only
- B.
II only
- C.
I and II only
- D.
None of these statement is a fact
Attempted by 23 students.
Show answer & explanation
Correct answer: B
To determine which statement must be true based on the provided information, we can break down the facts given:
Step-by-Step Analysis
Analyze Given Statements:
Total Balls: Ramesh has 4 balls.
Color Distribution: 2 balls are red, and 2 balls are blue.
Type Distribution: Half the balls (2 out of 4) are basketballs. Consequently, the remaining 2 balls must be footballs.
Evaluate Conclusions:
Statement I ("At least one basketball is red"): This is not necessarily true. The red and blue colors could be distributed in any combination; for example, both basketballs could be blue, meaning no basketball would be red.
Statement II ("Two of the balls are football"): This is necessarily true. Since there are 4 balls in total and 2 are basketballs, the remaining 2 must be footballs.
Statement III ("The footballs are of blue colour"): This is not necessarily true. We cannot determine the specific color of each ball type; for instance, both red balls could be footballs.