Solve previous year Question of iit jee
Chapter :- sequence and series
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Option (B ) ,time taken by hum to count all notes is 34min
Step-by-step explanation:
Number of notes that the person counts in 10min
= 10× 150 = 1500
Since, a₁₀ , a₁₁, a₁₂ ------- are in AP with common difference -2
Let n be the time taken to count remaining 300notes , then
- => n/2[(2×148 + (n-1)×-2] = 3000
- => n² - 149n + 3000 = 0
- => (n - 24) ( n-125) = 0
- => n = 24 , 125
neglecting n = 125 because value of a₁₂₅ will be negative which is not possible in currency note
so , Total time taken by the person to count all notes = 10 + 24 = 34min
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