UPSC CDS 1 2022 Math Paper

Given:
Radius of the wheel =35
Covered distance =11km=1100000cm
Formula used:
The perimeter of the wheel =2πr
where r is the radius of the wheel (2πr)×N=D
2πr= Perimeter of wheel
N= Number of revolutions
D= Covered distance
Calculation:
According to the formula,
2πr×n=1100000
⇒2×(22∕7)×35×n=1100000
⇒220n=1100000
⇒n=1100000∕220
⇒n=5000
∴ The value of n is 5000