Which of the following statements is/are true? A. If an athlete runs 200…
2025
Which of the following statements is/are true?
A. If an athlete runs 200 metres in 24 seconds, then his speed is 30 km/hr.
B. Sixty-five percent of a number is 21 less than 4/5 of that number. The number is 150.
C. A car is running at a speed of 108 Km/hr. The distance covered by car in 15 seconds is 450 metres.
D. Difference between A and B is 1660. If 7.5% of A is 12.5% of B, the value of A & B is 4150 and 2200.
- A.
A, B, and C Only
- B.
B, C, and D Only
- C.
A and C Only
- D.
B and D Only
Attempted by 1 students.
Show answer & explanation
Correct answer: C
Statement A: Speed = 200/24 m/s. Converting to km/hr: (200/24) * (18/5) = 30 km/hr. This statement is true.
Statement B: Let the number be x. 0.65x = (4/5)x - 21 => 0.8x - 0.65x = 21 => 0.15x = 21 => x = 140. The statement claims 150, so it is false.
Statement C: Speed = 108 km/hr = 30 m/s. Distance in 15 seconds = 30 * 15 = 450 metres. This statement is true.
Statement D: 7.5% of A = 12.5% of B => 3A = 5B => A = (5/3)B. Given A - B = 1660, substituting gives (2/3)B = 1660 => B = 2490. The statement claims 2200, so it is false.
Conclusion: Only statements A and C are correct.