Block A yields 120 mangoes per tree |
Block B yields 60 mangoes per tree |
Block C yields 180 mangoes per tree |
A) 4
B) 3
C) 2
D) 1
Correct Answer: A
Solution :
(a) \[\frac{n\times 120+(n+2)60+(n-2)180}{3n}=100\] \[\Rightarrow \,\frac{360n-240}{3n}=100\] \[\Rightarrow 360n-240=300n\] \[\Rightarrow 60n=240\] \[\Rightarrow n=4\] Perfectness of a mathematician A mathematician / Maths student should be able to cross check the correctness of his / her answer in exam hall itself. Since \[n=4,\text{ }\Rightarrow \text{ }n-2=2\] \[\therefore \] Total mangoes \[=\text{ }4\times 120\](Block A) \[+6\times 60\] (Block B) \[+2\times 1850\] (Block C) \[=1200\] Total tress \[=4+6+2=12\] \[\Rightarrow \]Overall average\[=\frac{1200}{12}=100\] Which matches with data in the given question.You need to login to perform this action.
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