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CAT 2023 Slot 3 Question Paper VARC: Download Question Paper PDF with Answer Key and Solutions
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Sachin Gupta

Associate Content Manager | Updated On - Jun 15, 2024

CAT 2023 Slot 3 VARC Question Paper is available here for free download. CAT 2023 Slot 3 paper has been conducted on November 26 from 4.30 PM to 6.30 PM. CAT 2023 Slot 3 question paper VARC comprises 24 questions to be attempted in 40 minutes. According to initial students reaction, CAT 2023 Slot 3 VARC was easy to moderate.

CAT 2023 Slot 3 VARC Question Paper with Solutions PDF

CAT 2023 VARC Question Paper PDF CAT 2023 VARC Answer Key PDF CAT 2023 VARC Solution PDF
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CAT Questions

1.
The sum of all possible values of \(x\) satisfying the equation \(2^{4x^2} - 2^{2x^2+x+16} + 2^{2x+30} = 0\), is

    • \(\frac{5}{2}\)
    • \(\frac{1}{2}\)
    • 3
    • \(\frac{3}{2}\)

    2.
    The number of positive integers less than 50, having exactly two distinct factors other than 1 and itself, is

      • 14
      • 15
      • 16
      • 20

      3.
      A container has 40 liters of milk. Then, 4 liters are removed from the container and replaced with 4 liters of water. This process of replacing 4 liters of the liquid in the container with an equal volume of water is continued repeatedly. The smallest number of times of doing this process, after which the volume of milk in the container becomes less than that of water, is

        • 5
        • 7
        • 4
        • None of Above

        4.
        According to the author, for Pinker as well as the ancient Greek philosophers, rational thinking involves all of the following EXCEPT:

          • arriving at independent conclusions irrespective of who is presenting the argument.
          • the belief that the ability to reason logically encompasses an ethical and moral dimension.
          • the primacy of conscious sequential reasoning as the basis for seminal human achievements.
          • an awareness of underlying assumptions in an argument and gaps in one's own knowledge.

          5.
          The number of integer solutions of equation \(2|x|(x^2+1)=5x^2\) is

            • 0
            • 3
            • 5
            • -1

            6.
            Pipes A and C are fill pipes while Pipe B is a drain pipe of a tank. Pipe B empties the full tank in one hour less than the time taken by Pipe A to fill the empty tank. When pipes A, B and C are turned on together, the empty tank is filled in two hours. If pipes B and C are turned on together when the tank is empty and Pipe B is turned off after one hour, then Pipe C takes another one hour and 15 minutes to fill the remaining tank. If Pipe A can fill the empty tank in less than five hours, then the time taken, in minutes, by Pipe C to fill the empty tank is

              • 75
              • 120
              • 60
              • 90

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