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CAT 2024 Question Paper | Quant Slot 1

CAT Previous Year Paper | CAT Quant Questions | Question 8

CAT 2024 Quant was dominated by Algebra followed by Arithmetic. 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 3 :Let \(x, y\), and \(z\) be real numbers satisfying $$ \begin{aligned} & 4\left(x^2+y^2+z^2\right)=a \\ & 4(x-y-z)=3+a \end{aligned} $$ Then \(a\) equals

  1. 3
  2. 1 \frac{1}{3}
  3. 1
  4. 4

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Explanatory Answer


The question is "Let \(x, y\), and \(z\) be real numbers satisfying $$ \begin{aligned} & 4\left(x^2+y^2+z^2\right)=a \\ & 4(x-y-z)=3+a \end{aligned} $$ Then \(a\) equals"

Hence, the answer is '3'

Choice A is the correct answer.

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