PGDBA 2022 Question Paper | Quant

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 17 : For which values of \(\lambda \in R\) will the system of linear equations
\(x+y+z=2\)
\(x+2y+z=-2\)
\(x+y+( \lambda - 5)z = \lambda\)
have a unique solution?

Video Explanation

Explanatory Answer

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The question is " For which values of \(\lambda \in R\) will the system of linear equations
\(x+y+z=2\)
\(x+2y+z=-2\)
\(x+y+( \lambda - 5)z = \lambda\)
have a unique solution? "

Hence, the answer is '\( \lambda \neq 6 \)'

Choice C is the correct answer.

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