PGDBA 2022 Question Paper | Quant

PGDBA Previous Year Paper | PGDBA Quant Questions | Question 23

CAT 2022 Quant was dominated by Arithmetic followed by Algebra. In Arithmetic, the questions were dominated by topics like Speed-time-distance, Mixture and Alligations. This year, there was a surprise. The questions from Geometry were relatively on the lower side as compared to the previous years. There were 8 TITA Qs this year. Overall this section was at a medium level of difficulty.

Question 23 : If \( f ( x ) = \sin \left( \log _ { 10 } x \right) \) and \( h ( x ) = \cos \left( \log _ { 10 } x \right) \), then \[ \frac { 1 } { 2 } \left( h \left( \frac { x } { y } \right) + h ( x y ) \right) - f ( x ) f ( y ) \] equals

  1. \( \sin \left( \log _ { 10 } \left( \frac { x } { y } \right) \right) \)
  2. \( \cos \left( \log _ { 10 } ( x y ) \right) \)
  3. \( \cos \left( \log _ { 10 } \left( \frac { x } { y } \right) \right) \)
  4. \( \sin \left( \log _ { 10 } ( x y ) \right) \)

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The answer is '\( \cos \left( \log _ { 10 } ( x y ) \right) \)'

Choice B is the correct answer.

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