What is the value of N?
Explanation:
Average runs scored till Nth over is 7.43.
∴ Total runs scored in N overs = N × 7.43.
It would be best to check the options for the value of N such that N × 7.43 should be an integer. This is possible for option (a) i.e., 7 and option (c) i.e., 14.
Now, the runrate at the end of N + 6 overs is 8.08. Checking for N = 7 or 14 such that (N + 6) × 8.08 should be an integer. N = 7 is the only option satisfying.
⇒ N = 7
Runs scored after: 5th over: 5 × 8 = 40 7th over: 7 × 7.43 = 52 9th over: 9 × 8.11 = 73 11th over: 11 × 8.45 = 93 13th over: 13 × 8.08 = 105
Hence, option (a).
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