CAT MCQs on Quantitative Aptitude: CAT Questions for Practice with Solutions

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Chanpreet Kaur

Content Writer | MBA Professional | Updated on - Nov 26, 2025

The CAT QA section requires speed and accuracy, along with a thorough understanding of the Quantitative Aptitude. This article provides a set of MCQs on Quantitative Aptitude to help you understand the topic and improve your problem-solving skills with the help of detailed solutions by ensuring conceptual clarity, which will help you in the CAT preparation.

Whether you're revising the basics or testing your knowledge, these MCQs will serve as a valuable practice resource.

The CAT 2025 exam is expected to follow a similar trend to the CAT 2024, with 22 questions from the QA section out of a total of 68 questions.

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CAT MCQs on Quantitative Aptitude

1. A shopkeeper sells an item at a 20% profit. If he reduces the cost price by 10% and sells it at Rs. 10 less, he still earns a 25% profit. What is the original cost price?
A
Rs. 100
B
Rs. 120
C
Rs. 150
D
Rs. 200

View Solution


2.

The table shows the percentage distribution of students in four departments: 

Department Percentage of Students
Physics 25%
Chemistry 30%
Mathematics 20%
Biology 25%

If there are 400 students in total, and 40% of Physics students are female, how many female students are in the Physics department?

A
40
B
50
C
60
D
80

View Solution


3. A and B can complete a task in 12 days, B and C in 15 days, A and C in 20 days. How many days will A alone take?
A
20
B
30
C
40
D
60

View Solution


4. A bag contains 4 red, 3 white, and 2 blue balls. Two balls are drawn. What is the probability both are red?
A
\( \frac{1}{6} \)
B
\( \frac{1}{12} \)
C
\( \frac{1}{9} \)
D
\( \frac{2}{9} \)

View Solution


5. A car travels from A to B at 60 km/h and returns at 40 km/h. What is the average speed?
A
48 km/h
B
50 km/h
C
52 km/h
D
45 km/h

View Solution


6. A man can row at 6 km/h in still water. If the river flows at 2 km/h and it takes him 1 hour to row to a place and return, what is the distance to the place?
A
2 km
B
2.5 km
C
3 km
D
4 km

View Solution


7. The sum of ages of a father and son is 50 years. Five years ago, the father’s age was four times the son’s age. What is the father’s current age?
A
35
B
40
C
45
D
50

View Solution


8. A rectangle has an area of 60 cm² and a perimeter of 32 cm. What is the length if it is greater than the width?
A
10 cm
B
12 cm
C
14 cm
D
16 cm

View Solution


9. A sum of Rs. 10,000 is invested at 5% per annum compound interest for 2 years. What is the total amount?
A
Rs. 11,000
B
Rs. 11,025
C
Rs. 11,050
D
Rs. 11,100

View Solution


10. In a class, 60% of students are boys, and 40% are girls. If 30% of boys and 20% of girls passed an exam, what percentage of the class passed?
A
26%
B
28%
C
30%
D
32%

View Solution


11. A right circular cone, a right circular cylinder and a hemisphere, all have the same radius, and the heights of the cone and cylinder are equal to their diameters. Then their volumes are proportional, respectively, to:
A
1 : 3 : 1
B
2 : 1 : 3
C
3 : 2 : 1
D
1 : 2 : 3

View Solution


12. Two towns A and B are 100 km apart. A school is to be built for 100 students of town B and 30 students of Town A. Expenditure on transport is Rs. 1.20 per km per student. If the total expenditure on transport by all 130 students is to be as small as possible, then the school should be built at:
A
33 km from Town A
B
33 km from Town B
C
Town A
D
Town B

View Solution


13. One man can do as much work in one day as a woman can do in 2 days. A child does one-third the work in a day as a woman. If an estate-owner hires 39 pairs of hands — men, women, and children — in the ratio 6 : 5 : 2 and pays them in all Rs. 1113 at the end of the day's work, what must the daily wages of a child be, if the wages are proportional to the amount of work done?
A
Rs. 14
B
Rs. 5
C
Rs. 20
D
Rs. 7

View Solution


14. A right circular cone of height h is cut by a plane parallel to the base and at a distance $h/3$ from the base. Then the volumes of the resulting cone and the frustum are in the ratio:
A
1 : 3
B
8 : 19
C
1 : 4
D
1 : 7

View Solution


15. If \( a + b + c = 0 \), where \( a \neq b \neq c \), then \[ \frac{a}{2a^2 + bc} + \frac{b}{2b^2 + ac} + \frac{c}{2c^2 + ab} \] is equal to:
A
zero
B
1
C
-1
D
abc

View Solution


CAT Questions

  • 1.
    What value of \( x \) satisfies the inequality \( x^3 + x - 2<0 \)?

      • \( -8 \leq x \leq 1 \)
      • \( -1<x<8 \)
      • \( x \geq 2 \)
      • \( -8 \leq x \leq 8 \)

    • 2.
      Given the quadratic equation \( x^2 - (A - 3)x - (A - 2) \), for what value of \( A \) will the sum of the squares of the roots be zero?

        • -2
        • 3
        • 6
        • None of these

      • 3.
        If $(a + b\sqrt{n})$ is the positive square root of $(29 - 12\sqrt{5})$, where $a$ and $b$ are integers, and $n$ is a natural number, then the maximum possible value of $(a + b + n)$ is ?

          • 4
          • 22
          • 18
          • 6

        • 4.

          If \(5^x-3^y=13438\) and \(5^{x-1}+3^{y+1}=9686,\) then \(x+y\) equals?

            • 11
            • 14
            • 15
            • 13

          • 5.
            If \( \log_{10}x - \log_{10}y = 2 \log_{10}x \), then a possible value of \( x \) is given by:

              • 10
              • 1/100
              • 1/1000
              • None of these

            • 6.
              If \(9^{2x – 1} – 81^{x-1} = 1944\), then x is

                • 3
                • \(\frac{9}{4}\)
                • \(\frac{4}{9}\)
                • \(\frac{1}{3}\)

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