There are 20 vehicles-cars and motorcycles in a parking area. If there are 56 wheels together, how many cars are there?

(a) 8   (b) 10   (c) 12   (d) 20

Ques 34 (MCQ) - There are 20 vehicles-cars and motorcycles in parking - CBSE Class 10 Sample Paper for 2022 Boards - Maths Basic [MCQ]

part 2 - Question 34 - CBSE Class 10 Sample Paper for 2022 Boards - Maths Basic [MCQ] - Solutions of Sample Papers for Class 10 Boards - Class 10

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Question 34 There are 20 vehicles-cars and motorcycles in a parking area. If there are 56 wheels together, how many cars are there? (a) 8 (b) 10 (c) 12 (d) 20 Let Number of cars = x Number of motorcycles = y Given that Total number of cars and motorcycles are 20 x + y = 20 Also, Total wheels are 56 4 × Number of cars + 2 × Number of motorcycles = 56 4x + 2y = 56 Dividing by 2 both sides 2x + y = 28 Subtracting (1) and (2) (x + y) − (2x + y) = 20 − 28 x + y − 2x − y = −8 −x = −8 x = 8 ∴ Number of cars = x = 8 So, the correct answer is (a)

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo