Management, Law & CUET

Management Exams (CAT) - Quantitative Aptitude (QA) previous year questions (PYQ)

3,134 previous year Management Exams (CAT) - Quantitative Aptitude (QA) questions, grouped by year, with answers and solutions.

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2026 (1122 questions)

Q1.
In CAT Quantitative Aptitude & Mathematics (Advanced Algebra, Geometry & Modern Math): Worker A can complete a project alone in 21 days, and Worker B can complete the same project in 29 days. Working together, in how many days will they complete the project?

(A)
14.18 days
(B)
12.18 days
(C)
10.68 days
(D)
25.0 days
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Q2.
In CAT Quantitative Aptitude & Mathematics (Advanced Algebra, Geometry & Modern Math): Worker A can complete a project alone in 17 days, and Worker B can complete the same project in 26 days. Working together, in how many days will they complete the project?

(A)
8.78 days
(B)
21.5 days
(C)
10.28 days
(D)
12.28 days
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2025 (113 questions)

Q1.
In CAT Quantitative Aptitude & Mathematics (Advanced Algebra, Geometry & Modern Math): Evaluate log_2 (16).

(A)
8
(B)
3
(C)
4
(D)
5
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Q2.
In CAT Quantitative Aptitude & Mathematics (Arithmetic & Commercial Mathematics): Two trains of lengths 162 m and 219 m are traveling toward each other on parallel tracks at 57 km/h and 52 km/h. How long do they take to cross each other completely?

(A)
12.6 seconds
(B)
38.1 seconds
(C)
137.2 seconds
(D)
15.6 seconds
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2024 (627 questions)

Q1.

Algebra & Functions: In 'Probability: Multi-Stage Conditional Probability and Bayes' Modeling', if $f(x) + 2f(1/x) = 3x$ for all $x \neq 0$, what is the value of $f(2)$?

(A)

$-1$ ($f(2) + 2f(1/2) = 6$ and $f(1/2) + 2f(2) = 3/2 \implies 3f(2) = -3 \implies f(2) = -1$) (Probability: Multi-Stage Conditional Probability and Bayes' Modeling)

(B)

$2$

(C)

$1$

(D)

$-2$

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Q2.

Financial Valuation & Risk Governance: In quantitative risk assessment of 'Time, Speed & Distance: Escalators, Circular Tracks and Relative Speed', which metric reliably gauges liquidity coverage and credit solvency?

(A)

Interest coverage ratio and net debt-to-EBITDA within prudential regulatory thresholds (Time, Speed & Distance: Escalators, Circular Tracks and Relative Speed)

(B)

Gross uncollateralized receivables divided by overdue accounts payable

(C)

Speculative inventory holding periods ignoring market depreciation

(D)

Nominal face value of authorized share capital without considering equity

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2023 (149 questions)

Q1.
In CAT Quantitative Aptitude & Mathematics (Arithmetic & Commercial Mathematics): Evaluate log_2 (16).

(A)
3
(B)
5
(C)
8
(D)
4
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Q2.
In CAT Quantitative Aptitude & Mathematics (Advanced Algebra, Geometry & Modern Math): Worker A can complete a project alone in 14 days, and Worker B can complete the same project in 35 days. Working together, in how many days will they complete the project?

(A)
8.5 days
(B)
12.0 days
(C)
10.0 days
(D)
24.5 days
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2022 (137 questions)

Q1.
In CAT Quantitative Aptitude & Mathematics (Arithmetic & Commercial Mathematics): Worker A can complete a project alone in 22 days, and Worker B can complete the same project in 26 days. Working together, in how many days will they complete the project?

(A)
10.42 days
(B)
13.92 days
(C)
24.0 days
(D)
11.92 days
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Q2.
In CAT Quantitative Aptitude & Mathematics (Arithmetic & Commercial Mathematics): Find the remainder when 2^480 is divided by 19.

(A)
8
(B)
11
(C)
13
(D)
16
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2021 (142 questions)

Q1.
In CAT Quantitative Aptitude & Mathematics (Arithmetic & Commercial Mathematics): A merchant marks an article 40% above cost price and then allows a cash discount of 20%. What is the merchant's net profit percentage?

(A)
20%
(B)
12.0%
(C)
16.0%
(D)
9.0%
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Q2.
In CAT Quantitative Aptitude & Mathematics (Arithmetic & Commercial Mathematics): Worker A can complete a project alone in 16 days, and Worker B can complete the same project in 20 days. Working together, in how many days will they complete the project?

(A)
8.89 days
(B)
10.89 days
(C)
7.390000000000001 days
(D)
18.0 days
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2020 (139 questions)

Q1.
In CAT Quantitative Aptitude & Mathematics (Arithmetic & Commercial Mathematics): Evaluate log_5 (15625).

(A)
7
(B)
6
(C)
5
(D)
3125
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Q2.
In CAT Quantitative Aptitude & Mathematics (Arithmetic & Commercial Mathematics): A merchant marks an article 20% above cost price and then allows a cash discount of 10%. What is the merchant's net profit percentage?

(A)
12.0%
(B)
8.0%
(C)
10%
(D)
5.0%
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2019 (136 questions)

Q1.
In CAT Quantitative Aptitude & Mathematics (Advanced Algebra, Geometry & Modern Math): Find the remainder when 5^184 is divided by 17.

(A)
16
(B)
1
(C)
4
(D)
13
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Q2.
In CAT Quantitative Aptitude & Mathematics (Advanced Algebra, Geometry & Modern Math): A merchant marks an article 20% above cost price and then allows a cash discount of 20%. What is the merchant's net profit percentage?

(A)
7.0%
(B)
4.0%
(C)
0%
(D)
0.0%
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2018 (146 questions)

Q1.
In CAT Quantitative Aptitude & Mathematics (Advanced Algebra, Geometry & Modern Math): Evaluate log_3 (729).

(A)
243
(B)
6
(C)
5
(D)
7
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Q2.
In CAT Quantitative Aptitude & Mathematics (Advanced Algebra, Geometry & Modern Math): Evaluate log_5 (125).

(A)
4
(B)
2
(C)
25
(D)
3
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2017 (143 questions)

Q1.
In CAT Quantitative Aptitude & Mathematics (Advanced Algebra, Geometry & Modern Math): A merchant marks an article 25% above cost price and then allows a cash discount of 15%. What is the merchant's net profit percentage?

(A)
6.25%
(B)
25%
(C)
10%
(D)
10.25%
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Q2.
In CAT Quantitative Aptitude & Mathematics (Advanced Algebra, Geometry & Modern Math): Worker A can complete a project alone in 24 days, and Worker B can complete the same project in 15 days. Working together, in how many days will they complete the project?

(A)
11.23 days
(B)
9.23 days
(C)
7.73 days
(D)
19.5 days
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2016 (147 questions)

Q1.
In CAT Quantitative Aptitude & Mathematics (Arithmetic & Commercial Mathematics): Worker A can complete a project alone in 12 days, and Worker B can complete the same project in 23 days. Working together, in how many days will they complete the project?

(A)
9.89 days
(B)
6.39 days
(C)
17.5 days
(D)
7.89 days
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Q2.
In CAT Quantitative Aptitude & Mathematics (Advanced Algebra, Geometry & Modern Math): Two trains of lengths 178 m and 218 m are traveling toward each other on parallel tracks at 69 km/h and 44 km/h. How long do they take to cross each other completely?

(A)
39.6 seconds
(B)
15.6 seconds
(C)
12.6 seconds
(D)
57.0 seconds
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2015 (133 questions)

Q1.
In CAT Quantitative Aptitude & Mathematics (Advanced Algebra, Geometry & Modern Math): Evaluate log_5 (625).

(A)
125
(B)
4
(C)
5
(D)
3
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Q2.
In CAT Quantitative Aptitude & Mathematics (Arithmetic & Commercial Mathematics): Two trains of lengths 159 m and 217 m are traveling toward each other on parallel tracks at 58 km/h and 39 km/h. How long do they take to cross each other completely?

(A)
14.0 seconds
(B)
17.0 seconds
(C)
37.6 seconds
(D)
71.2 seconds
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