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

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Chanpreet Kaur

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

CAT 2025 Slot 3 QA Question Paper 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 question paper QA comprises 22 questions to be attempted in 40 minutes. Based on trends from previous years, the difficulty level of the CAT 2025 Slot 3 QA section is expected to be moderate to tough.

Also Check CAT 2025 Question Paper (All Slots)

CAT 2025 Slot 3 QA Question Paper with Solutions PDF – Memory Based

CAT 2025 Slot 3 QA Question Paper with Solutions PDF
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CAT 2025 Slot 3 QA Question Paper with Solutions 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

 

CAT 2025 Difficulty Level Analysis (Expected)

Section Difficulty Level Time Required (Avg.) Strategy
Verbal Ability and Reading Comprehension (VARC) Moderate 60 mins Focus on speed reading and eliminating incorrect options
Data Interpretation and Logical Reasoning (DILR) High 40-45 mins Prioritize easier questions first; manage time carefully
Quantitative Ability (QA) Moderate to High 60 mins Solve easy questions first; focus on accuracy
Overall Moderate to High 180 mins Time management is key; balance speed and accuracy

CAT 2025 Most Expected Questions

CAT Questions

  • 1.
    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

    • 2.
      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.

        • 8%
        • 10%
        • 12%
        • 9%

      • 3.
        Using digits 1 to 6 (each at most once), how many 4-digit numbers can be formed that are divisible by 4?


          • 4.
            Find the range of \(x\) satisfying both: \(|2x - 7|<5\) and \(x + 3>0\)

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

            • 5.
              Arun, Tarun and Varun work for 24, 21 and 15 days respectively and get paid 2160, 2400 and 2160 rupees respectively. They get paid the same even if they work for a partial day. If the work has to be completed within 10 days or less, what is the minimum amount that has to be paid to complete the entire task?


                • 6.
                  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 \(\angle APB\).

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