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Mensuration - Quant/Math - CAT 2013

  1. Algebra
  2. Progressions
  3. Averages
  4. Clocks and Calendars
  5. Data Sufficiency
  6. English Grammar
  7. Function
  8. Geometry
  9. Coordinate Geometry
  10. Interest
  11. Mensuration
  12. Mixtures & Alligations
  13. Number System
  14. Percentages
  15. Permutation & Combination
  16. Pipes & Cisterns And Work & Time
  17. Probability
  18. Profit & Loss
  19. Races
  20. Ratio, Proportion
  21. Speed, Time & Distance
  22. Trigonometry
  23. Miscellaneous
  24. General Knowledge
Question 4 the day: Mensuration - March 22, 2004

The question for the day is from the topic Mensuration.
The area of a square field is 24200 sq m. How long will a lady take to cross the field diagonally at the rate of 6.6 km/hr?

(1) 3 minutes (2) 2 minutes
(3) 2.4 minutes (4) 2 minutes 40 seconds
Correct choice - (2) Correct Answer -(2 minutes)

Solution:

Let ‘a’ meters be the length of a side of the square field.

Therefore, its area = a2 square meters. --- (1)

We know that the length of the diagonal ‘d’ of a square whose side is ‘a’ meters = a –-- (2)

From (1) and (2), we can deduce that the square of the diagonal = d2 = 2a2

Or d = meters.

The time taken to cross a length of 220 meters while traveling at 6.6 kmph is given by
(converting 1 km = 1000 meters and 1 hour = 60 minutes).

= 2 minutes
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