PGDBA 2022 Question Paper | Quant

PGDBA Previous Year Paper | PGDBA Quant Questions | Question 22

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 22 : For any real number \( x \), let \( [ x ] \) denote the greatest integer \( m \) such that \( m \leq x \). Then the value of \( \int _ { 0 } ^ { \pi } [ 2 \sin x ] d x \) is

  1. \( \frac { \pi } { 6 } \)
  2. \( \frac { \pi } { 3 } \)
  3. \( \frac { 2 \pi } { 3 } \)
  4. \( \frac { \pi } { 2 } \)

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Explanatory Answer

Text Explanation will be transcribed soon...


The question is " For any real number \( x \), let \( [ x ] \) denote the greatest integer \( m \) such that \( m \leq x \). Then the value of \( \int _ { 0 } ^ { \pi } [ 2 \sin x ] d x \) is "

Hence, the answer is '\( \frac { 2 \pi } { 3 } \)'

Choice C is the correct answer.

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