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Functions - Quant/Math - CAT 2009

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