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GATE 2023 BT – Question 3

General Aptitude · Quantitative Aptitude: Algebra, Geometry and Mensuration · 1 mark · Multiple choice

In the given figure, PQRS is a parallelogram with PS = 7 cm, PT = 4 cm and PV = 5 cm. What is the length of RS in cm? (The diagram is representative.)

source diagram and its labels are reproduced in the attached image.
  1. $20/7$
  2. $28/5$
  3. $9/2$
  4. $35/4$

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Show answer and explanation

Correct answer: (B) $28/5$

Explanation

The parallelogram area is $PS\,PT=RS\,PV$. Thus $RS=7(4)/5=28/5$ cm.