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Functions - 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: July 16, 2002
The question for the day is from the topic functions.
If f(2, 7) = 57 and f(1, 6) = 37, what is the value of f(3, 10)?
(1) 107 (2) 127 (3) 147 (4) None of these
Correct Answer - (2)


Solution:

The function f(a, b) = a3 + b2

f(2, 7) therefore is = 23 + 72 = 8 + 49 = 57 and
f(1, 6) = 13 + 62 = 1 + 36 = 37.

Therefore, f(3, 10) = 33 + 102 = 27 + 100 = 127.

The key to cracking a problem of this kind is the ability with which you can identify the relationship or the function. One suggestion would be to try and see if you can get the pattern in about 30 seconds. If you cannot, do not waste time on the problem. Just skip it and proceed.

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