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C
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21%
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Mr.Hock feeds grains to sparrows every morning. On the first day, he fed 20 sparrows and every next day after the first he fed to be 12 more than that on the previous day. If he fed 128 sparrows on the nth day, what is the value of n?
A. 8
B. 9
C. 10
D. 11
E. 12
A. 8
B. 9
C. 10
D. 11
E. 12
28 Jan 2025, 03:02
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Lets say he fed \(a\) sparrows, and every other day he feeds 12 more than previous day. This is in the form of Arithmetic progression with initial value of \(20\) and common difference of \(12\)
In AP, \(n^{th}\) term is, \(a_n=a_1+(n-1)d\)
\(128=20+(n-1)12\)
\(n-1=9\)
\(n=10\)
Answer: C
In AP, \(n^{th}\) term is, \(a_n=a_1+(n-1)d\)
\(128=20+(n-1)12\)
\(n-1=9\)
\(n=10\)
Answer: C
28 Jan 2025, 03:25
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On first day, Birds fed = 20
On 2nd day, Birds fed = 20 + 12 * 1
On 3rd day, Birds fed= 20+12*2
Hence on nth day, birds fed are: 20+12*(n-1)
Hence equating with 128.
20+12*(n-1) = 128
This gives n = 10
Hence IMO Ans C
On 2nd day, Birds fed = 20 + 12 * 1
On 3rd day, Birds fed= 20+12*2
Hence on nth day, birds fed are: 20+12*(n-1)
Hence equating with 128.
20+12*(n-1) = 128
This gives n = 10
Hence IMO Ans C
