TANCET 2008 - Past year paper: Sets, set theory, expressions, framing equations: Ascent Education TANCET MBA Classes

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TANCET 2008 Quant Question 12 : Expressions in Sets


The schedule of G first year students was inspected. It was found that M were taking a Mathematics course, L were taking a Language course and B were taking both a Mathematics course and a Language course. Which of the following expression gives the percentage of the students whose schedule was inspected who were taking neither a mathematics course nor a language course?
  1. 100 x G/B+L+M)
  2. 100 x (B+L+M)/G
  3. 100 x (G-L-M)/G
  4. 100 x (G-B-L-M)/G
  5. 100 x (G+B-L-M)/G

Correct Answer :  . Choice (5)

Explanatory Answer

M students are taking a math course.
L students are taking a language course.
B students are taking both a math and a language course.

Number of students taking at least one of the two courses = M U L
M U L = M + L - B

Hence, number of students taking neither of the two courses = G - (M + L - B) = G + B - M - L
Expressed as a percent of the total number of students, we get 100 x (G+B-L-M)/G

Level of difficulty : Easy to Moderate

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