GATE AG 2018 • Q7 MCQ • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Ratios & Percentages

Question Statement:

A set of 4 parallel lines intersect with another set of 5 parallel lines. How many parallelograms are formed?

Options:

  • (A) 20
  • (B) 48
  • (C) 60
  • (D) 72

Official Answer Key:

C

Step-by-Step Solution & Explanation

A parallelogram needs 2 lines from the first family and 2 from the second. N = C(4,2) × C(5,2) = 6 × 10 = 60. Distractor (A) 20 = 4 × 5, i.e. counting intersection points instead of parallelograms.

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