Explanation:

Quantity 1:

Given, average height of 16 students = 142 cm

Total height = 142 x 16 cm

and, if the height of the teacher is added the average, then

The average height of 16 students + Teacher = 143

Total height = 17 x 143 cm

Hence, Height of the teacher = (17 x 143) – (142 x 16) = 159 cm

Quantity 2:

Circumference of first semicircle =πr=0.5π

Circumference of first semicircle =πr=1π

Circumference of first semicircle =πr=1.5π

Number of semicircles=13

The length of the spiral=n/2 (2a+(n-1)d)

a=0.5π,d=0.5π

=13/2 (2×0.5π+(13-1)0.5π)

=13/2×7π

=13/2×7×22/7

=13×11=143cm

Hence Quantity I >Quantity II

Hence, option 3 is the correct answer.