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Statement: In the last academic year a college admitted 500 students, of whom 320 opted for the science stream and the rest for the commerce stream; no student opted for both. Conclusions: I. Fewer than half of the admitted students opted for the commerce stream.
II. More students opted for science than for commerce. Which of the conclusions follows from the statement?

Competition practiceLogical / Critical
  • ABoth I and II follow
  • BOnly conclusion I follows
  • COnly conclusion II follows
  • DNeither I nor II follows

Step-by-Step Solution

Commerce takers number 500 − 320 = 180. Since 180 is less than 250, fewer than half chose commerce, so I follows. Since 320 is greater than 180, more chose science than commerce, so II follows as well.
Answer: A) Both I and II follow

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