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

Last updated at April 16, 2024 by Teachoo

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

Transcript

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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