UPSC Prelims 2015·CSAT·Quantitative Aptitude·Arithmetic

In a parking area, the total number of wheels of all the cars (four- wheelers) and scooters/motorbikes (two-wheelers) is 100 more than twice the number of parked vehicles. The number of cars parked is

Dalvoy logo
Reviewed by Dalvoy
UPSC Civil Services preparation
Last updated 23 May 2026, 3:31 pm IST
  1. A35
  2. B45
  3. C50Correct
  4. D55

Explanation

Let C be the number of cars and S be the number of scooters/motorbikes. 1. Total number of vehicles = C + S 2. Total number of wheels = (4 * C) + (2 * S) According to the problem statement, "The total number of wheels ... is 100 more than twice the number of parked vehicles." So, 4C + 2S = 2(C + S) + 100 Now, let's solve this equation: 4C + 2S = 2C + 2S + 100 Subtract 2S from both sides: 4C = 2C + 100 Subtract 2C from both sides: 2C = 100 C = 50 The number of cars parked is 50. Analyzing the options: A) 35: Incorrect, does not satisfy the equation. B) 45: Incorrect, does not satisfy the equation. C) 50: Correct, as derived from the equation. D) 55: Incorrect, does not satisfy the equation. The final answer is C.
Quantitative Aptitude: In a parking area, the total number of wheels of all the cars (four- wheelers) and scooters/motorbikes (two-wheelers) is

Related questions

More UPSC Prelims practice from the same subject and topic.