If b = 9d - c and d = a/6, what is the average (arithmetic mean) of a, b, c, and d?
Solution
Correct Answer: Option C
প্রশ্নে বলা হচ্ছে, b = 9d – c এবং d =a/6 হলে a, b, c ও d এর গড় কত?
দেওয়া আছে, b = 9d - c
⇒ b =9 x a/6 - c
⇒ b = 3a/2 -c
⇒ (b + c) = 3a/2
আবার, d ⇒ a/6 ⇒ a = 6d
∴ a, b, c এবং d-এর Average = (a + b + c + d)/4
= {6d + (3a/2) + (a/6)}/4
= {(36d + 9a + a)/6}/4
= {(36d + 54d + 6d)6}/4
= (96d/6)/4
= 16d/4
= 4d
দেওয়া আছে, b = 9d - c
⇒ b =9 x a/6 - c
⇒ b = 3a/2 -c
⇒ (b + c) = 3a/2
আবার, d ⇒ a/6 ⇒ a = 6d
∴ a, b, c এবং d-এর Average = (a + b + c + d)/4
= {6d + (3a/2) + (a/6)}/4
= {(36d + 9a + a)/6}/4
= {(36d + 54d + 6d)6}/4
= (96d/6)/4
= 16d/4
= 4d
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