PGDBA 2022 Question Paper | Quant

PGDBA Previous Year Paper | PGDBA Quant Questions | Question 4

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 4 : If \( \alpha \) and \( \beta \) are the two roots of the quadratic equation \( x ^ { 2 } + x + 1 = 0 \), then the equation whose roots are \( \alpha ^ { 2022 } \) and \( \beta ^ { 2022 } \) is

  1. \( x ^ { 2 } + x - 1 = 0 \)
  2. \( x ^ { 2 } - 2 x + 1 = 0 \)
  3. \( x ^ { 2 } + x + 1 = 0 \)
  4. \( x ^ { 2 } + 2 x - 1 = 0 \)

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Explanatory Answer

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The question is " If \( \alpha \) and \( \beta \) are the two roots of the quadratic equation \( x ^ { 2 } + x + 1 = 0 \), then the equation whose roots are \( \alpha ^ { 2022 } \) and \( \beta ^ { 2022 } \) is "

Hence, the answer is '\( x ^ { 2 } - 2 x + 1 = 0 \)'

Choice B is the correct answer.

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