Question

Distance between Mumbai and Pune is $(2y^2+y+2)$. There are two routes to travel from Mumbai to Pune as shown in the figure.

What is the difference between the distance covered through the two routes?

• A. 32 units
• B. 23 units
• C. 57 units
• D. 34 units

Answer 1

The correct option is D

34 units

When $y=5$
Distance=$(2y^2+y+2)$
$=2\times 5^2+5+2=50+5+2$
$=57units$
When $y=3$,
Distance=$(2y^2+y+2)$
$=2\times 3^2+3+2=18+3+2$
$=23units$
$\therefore$ Required difference = 57 – 23 = 34 units.