In a T-20 cricket match, the number of boundaries scored was twice the number of over boundaries by a team. The team took 22 single runs, no two or three runs and could not score from 38 deliveries. How many runs did the team score?

A 124

B 144

C 150

D 302

Solution

Correct Answer: Option D

T-20 cricket match 
Total Ball = 120
boundaries and over boundaries = 120 - (22 + 38) = 60

Again, 
boundaries = 2(over boundaries)

2(over boundaries) + over boundaries = 60
3(over boundaries) = 60
over boundaries = 60/3 = 20

boundaries = 60 - 20 = 40

The team score = 1 × 22 + 40 × 4 + 20 × 6
                       = 22 + 160 + 120
                       = 302

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