Multiple choice

The questions given below contain three statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question ? What is the speed of a car ? (I) The speed of the car is 10 km/hr more than the speed of a motorbike. (II) The motorbike takes 2 hours more than the car in order to cover a distance of 400 km. (III) The ratio between the speed of motorbike and car is 4:5 respectively.

  1. All

  2. Only I and II

  3. Only II and III

  4. Any two of them

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Data sufficiency analysis: Statement I gives car speed as bike speed + 10. Statement II gives 400/B - 400/C = 2. Statement III gives B/C = 4/5. Using I and II: C = B + 10, solving gives B = 40, C = 50. Using I and III: C = B + 10 and B = 0.8C gives B = 40, C = 50. Using II and III also gives C = 50. Thus any two statements together are sufficient.

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