Discussion
A report regarding certain examination is given below :
Total number of candidates appeared = 1000
The number of male candidates = 550
The number of candidates passed = 700
The number of successful male candidates will lie between the limits ......................... .
Answer: B
The number of successful male candidates lies between 250 to 550.
There are 550 male and 1000 - 550 = 450 female candidates, and 700 passed.
\[ \begin{aligned} \text{least} &= 700 - 450 = 250 \\ \text{greatest} &= 550 \end{aligned} \]
At least 250 passing candidates must be male even if every female passed, and at most all 550 males can have passed. Ranges starting at 550 or 700 exceed the number of male candidates, and 100 to 250 ignores the forced minimum.
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