CAT 2025 Slot 3 Answer Key QA: Download Question Paper with Answer Key PDF

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Chanpreet Kaur

Content Writer | MBA Professional | Updated on - Dec 1, 2025

CAT 2025 Slot 3 QA Answer Key is available here for free download. CAT 2025 Slot 3 paper is scheduled for November 30 from 4.30 PM to 6.30 PM. CAT 2025 Slot 3 Answer Key QA has answers to 22 questions. CAT 2025 Slot 3 QA Answer Key will help candidates to analyze their scores.

Also Check CAT 2025 Answer Paper (All Slots)

CAT 2025 Slot 3 QA Answer Key PDF (Memory Based)

CAT 2025 Slot 3 QA Answer Key PDF
Question Paper PDF Check Answer Key
CAT 2025 Slot 3 QA Answer Key PDF

Question 1:

There are 4 people M, S, P, R.

P gets 20% of the total.
M gets 40% of the remaining amount.
S gets 20% less than M.
R gets the remaining amount.

Find the ratio P : R.


Question 2:

N is a 3-digit number with non-zero digits. No digit is a perfect square and only 1 of the digits is a prime number. What is the number of factors of the smallest such number possible?


Question 3:

From an external point P, two tangents PA and PB are drawn to a circle with centre O. Radii OA and OB are perpendicular to the tangents and the angle \(\angle AOB = 50^\circ\). A third tangent is drawn which intersects both PA and PB. Find the angle \(\angle APB\).


Question 4:

If \((2m+n) + (2n+m)=27\), find the maximum value of \((2m-3)\), assuming m and n are positive integers.


Question 5:

Find the sum of digits of the number \(625^{65} \times 128^{36}\).

  • (A) 20
  • (B) 25
  • (C) 30
  • (D) 35
  • (E) 40

Question 6:

A man takes a loan of 1000 and repays it by paying 530 at the end of the first year, and 594 at the end of the second year. Find the rate of interest per annum.

  • (A) 8%
  • (B) 10%
  • (C) 12%
  • (D) 9%

Question 7:

The average of the first 7 numbers in a series is 60. When the 8th number is added, the average of the first 8 numbers becomes 63. The 9th number is 11 more than the 8th number. It is also given that the average of the 2nd to the 9th numbers is 66. Find the value of the 1st number in the series.

  • (A) 68
  • (B) 70
  • (C) 71
  • (D) 75

Question 8:

For the number \(N = 2^3 \times 3^7 \times 5^7 \times 7^9 \times 10!\), how many factors are perfect squares and also multiples of 420?

  • (A) 400
  • (B) 450
  • (C) 500
  • (D) 600

Question 9:

For the quadratic function \(f(x) = x^2 - kx + 12\), the minimum value of \(f(x)\) is 3. Which of the following is the value of \(k\)?

  • (A) 6
  • (B) 8
  • (C) 10
  • (D) 12

Question 10:

Two circles of radii 6 cm and 6 cm intersect each other. The distance between their centers is 8 cm. What is the length of their common chord?

  • (A) \(4\sqrt{5}\) cm
  • (B) \(6\sqrt{2}\) cm
  • (C) 8 cm
  • (D) 6 cm

Question 11:

A shopkeeper sells an item at a profit of 20%. If he had bought it at 10% less and sold it for 60 more, his profit would become 60%. What is the cost price of the item?

  • (A) 200
  • (B) 250
  • (C) 300
  • (D) 280

Question 12:

Find the range of \(x\) satisfying both: \(|2x - 7| < 5\) and \(x + 3 > 0\)

  • (A) \(1 < x < 6\)
  • (B) \(x > 1\)
  • (C) \(1 < x < 7\)
  • (D) \(x > -3\)

Question 13:

A container has a mixture of milk and water in the ratio 5 : 2. If 14 liters of this mixture is removed and replaced with water, the ratio becomes 5 : 4. What is the initial quantity of the mixture?

  • (A) 63 L
  • (B) 35 L
  • (C) 49 L
  • (D) 56 L

 

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Check:

CAT Questions

  • 1.
    Find the range of \(x\) satisfying both: \(|2x - 7|<5\) and \(x + 3>0\)

      • \(1<x<6\)
      • \(x>1\)
      • \(1<x<7\)
      • \(x>-3\)

    • 2.
      Using digits 1 to 6 (each at most once), how many 4-digit numbers can be formed that are divisible by 4?


        • 3.
          A container has a mixture of milk and water in the ratio 5 : 2. If 14 liters of this mixture is removed and replaced with water, the ratio becomes 5 : 4. What is the initial quantity of the mixture?

            • 63 L
            • 35 L
            • 49 L
            • 56 L

          • 4.
            A shopkeeper sells an item at a profit of 20%. If he had bought it at 10% less and sold it for 60 more, his profit would become 60%. What is the cost price of the item?

              • 200
              • 250
              • 300
              • 280

            • 5.
              For the number \(N = 2^3 \times 3^7 \times 5^7 \times 7^9 \times 10!\), how many factors are perfect squares and also multiples of 420?

                • 400
                • 450
                • 500
                • 600

              • 6.
                For the quadratic function \(f(x) = x^2 - kx + 12\), the minimum value of \(f(x)\) is 3. Which of the following is the value of \(k\)?

                  • 6
                  • 8
                  • 10
                  • 12

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