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Data Sufficiency - 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: August 05, 2003

The question for the day is from the topic of Data Sufficiency.
Mark 1 If the question can be answered by using one of the statements alone, but cannot be answered by using the other statement alone.
Mark 2 If the question can be answered by using either statement alone.
Mark 3 If the question can be answered by using both statements together, but cannot be answered by using either statement alone.
Mark 4 If the question cannot be answered even by using both the statements together.

Is x = y?
A. = 4
B. (x 50)2 = (y 50)2

(1) 1 (2) 4
(3) 3 (4) 2
Correct Answer - (1)

Solution:


Statement A. = 4 => 1 + 1 + = 4

=> = 2. This is possible when x = y. Hence statement A alone is sufficient.

Statement B. (x 50)2 = (y 50)2 . We cannot say if x = y in this case. Take for example, let x = 100 and y = 0. Then (x 50)2 = (100 50)2 = 502 = 2500.

And (y 50)2 = (0 50)2 = 502 = 2500.

Hence, statement A alone is sufficient and statement B alone is not sufficient.




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