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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 (Arithmetic & Commercial Mathematics): Two trains of lengths 149 m and 172 m are traveling toward each other on parallel tracks at 60 km/h and 49 km/h. How long do they take to cross each other completely?

(A)
105.1 seconds
(B)
32.1 seconds
(C)
10.6 seconds
(D)
13.6 seconds
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Q2.
In CAT Quantitative Aptitude & Mathematics (Advanced Algebra, Geometry & Modern Math): Two trains of lengths 151 m and 181 m are traveling toward each other on parallel tracks at 69 km/h and 37 km/h. How long do they take to cross each other completely?

(A)
37.4 seconds
(B)
33.2 seconds
(C)
11.3 seconds
(D)
14.3 seconds
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2025 (113 questions)

Q1.
In CAT Quantitative Aptitude & Mathematics (Advanced Algebra, Geometry & Modern Math): Two trains of lengths 124 m and 219 m are traveling toward each other on parallel tracks at 55 km/h and 54 km/h. How long do they take to cross each other completely?

(A)
11.3 seconds
(B)
34.3 seconds
(C)
14.3 seconds
(D)
123.5 seconds
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Q2.
In CAT Quantitative Aptitude & Mathematics (Advanced Algebra, Geometry & Modern Math): Find the remainder when 2^340 is divided by 17.

(A)
4
(B)
1
(C)
16
(D)
13
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2024 (627 questions)

Q1.

Accounting & Regulatory Compliance: Under applicable statutory guidelines in 'Percentages, Profit/Loss, Faulty Balances and Successive Discounts' (Advanced Proportions, Mixtures, Time-Speed & Work), what is the mandatory financial treatment or disclosure requirement?

(A)

Strict accrual-based recognition ensuring revenue matches incurred expenses for the accounting period (Percentages, Profit/Loss, Faulty Balances and Successive Discounts)

(B)

Cash-basis omission of unbilled accrued liabilities without footnote disclosure

(C)

Arbitrary capitalization of regular operational expenses without future economic benefit

(D)

Off-balance sheet concealment of material contingent liabilities

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Q2.

Geometry (Apollonius Theorem): In $\triangle ABC$ in 'Probability: Multi-Stage Conditional Probability and Bayes' Modeling', $AB = 7\text{ cm}$, $AC = 9\text{ cm}$, and median $AD = 7\text{ cm}$. What is the length of side $BC$?

(A)

$8\sqrt{2}\text{ cm} \approx 11.31\text{ cm}$ ($7^2 + 9^2 = 2(7^2 + BD^2) \implies 130 = 2(49 + BD^2) \implies BD^2 = 16 \implies BD = 4 \implies BC = 8$) or $8\text{ cm}$ (Probability: Multi-Stage Conditional Probability and Bayes' Modeling)

(B)

10 cm

(C)

12 cm

(D)

14 cm

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2023 (149 questions)

Q1.
In CAT Quantitative Aptitude & Mathematics (Advanced Algebra, Geometry & Modern Math): Two trains of lengths 130 m and 218 m are traveling toward each other on parallel tracks at 71 km/h and 45 km/h. How long do they take to cross each other completely?

(A)
10.8 seconds
(B)
48.2 seconds
(C)
13.8 seconds
(D)
34.8 seconds
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Q2.
In CAT Quantitative Aptitude & Mathematics (Advanced Algebra, Geometry & Modern Math): Two trains of lengths 191 m and 155 m are traveling toward each other on parallel tracks at 65 km/h and 53 km/h. How long do they take to cross each other completely?

(A)
103.8 seconds
(B)
13.6 seconds
(C)
10.6 seconds
(D)
34.6 seconds
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2022 (137 questions)

Q1.
In CAT Quantitative Aptitude & Mathematics (Arithmetic & Commercial Mathematics): A merchant marks an article 30% above cost price and then allows a cash discount of 10%. What is the merchant's net profit percentage?

(A)
21.0%
(B)
20%
(C)
17.0%
(D)
14.0%
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Q2.
In CAT Quantitative Aptitude & Mathematics (Arithmetic & Commercial Mathematics): Two trains of lengths 168 m and 196 m are traveling toward each other on parallel tracks at 62 km/h and 53 km/h. How long do they take to cross each other completely?

(A)
131.0 seconds
(B)
14.4 seconds
(C)
36.4 seconds
(D)
11.4 seconds
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2021 (142 questions)

Q1.
In CAT Quantitative Aptitude & Mathematics (Advanced Algebra, Geometry & Modern Math): Evaluate log_2 (8).

(A)
4
(B)
3
(C)
4
(D)
2
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Q2.
In CAT Quantitative Aptitude & Mathematics (Advanced Algebra, Geometry & Modern Math): Worker A can complete a project alone in 12 days, and Worker B can complete the same project in 21 days. Working together, in how many days will they complete the project?

(A)
16.5 days
(B)
7.64 days
(C)
6.14 days
(D)
9.64 days
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2020 (139 questions)

Q1.
In CAT Quantitative Aptitude & Mathematics (Arithmetic & Commercial Mathematics): Find the remainder when 5^334 is divided by 17.

(A)
0
(B)
3
(C)
12
(D)
15
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Q2.
In CAT Quantitative Aptitude & Mathematics (Arithmetic & Commercial Mathematics): Worker A can complete a project alone in 29 days, and Worker B can complete the same project in 17 days. Working together, in how many days will they complete the project?

(A)
9.22 days
(B)
23.0 days
(C)
10.72 days
(D)
12.72 days
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2019 (136 questions)

Q1.
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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Q2.
In CAT Quantitative Aptitude & Mathematics (Advanced Algebra, Geometry & Modern Math): Find the remainder when 5^389 is divided by 19.

(A)
6
(B)
3
(C)
8
(D)
11
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2018 (146 questions)

Q1.
In CAT Quantitative Aptitude & Mathematics (Arithmetic & Commercial Mathematics): Find the remainder when 3^435 is divided by 13.

(A)
1
(B)
6
(C)
3
(D)
11
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Q2.
In CAT Quantitative Aptitude & Mathematics (Arithmetic & Commercial Mathematics): Two trains of lengths 190 m and 165 m are traveling toward each other on parallel tracks at 55 km/h and 47 km/h. How long do they take to cross each other completely?

(A)
15.5 seconds
(B)
127.8 seconds
(C)
12.5 seconds
(D)
35.5 seconds
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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): A merchant marks an article 40% above cost price and then allows a cash discount of 15%. What is the merchant's net profit percentage?

(A)
25%
(B)
16.0%
(C)
23.0%
(D)
19.0%
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2016 (147 questions)

Q1.
In CAT Quantitative Aptitude & Mathematics (Arithmetic & Commercial Mathematics): Worker A can complete a project alone in 17 days, and Worker B can complete the same project in 16 days. Working together, in how many days will they complete the project?

(A)
6.74 days
(B)
16.5 days
(C)
10.24 days
(D)
8.24 days
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Q2.
In CAT Quantitative Aptitude & Mathematics (Arithmetic & Commercial Mathematics): Evaluate log_2 (64).

(A)
32
(B)
7
(C)
6
(D)
5
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2015 (133 questions)

Q1.
In CAT Quantitative Aptitude & Mathematics (Advanced Algebra, Geometry & Modern Math): Worker A can complete a project alone in 16 days, and Worker B can complete the same project in 19 days. Working together, in how many days will they complete the project?

(A)
8.69 days
(B)
17.5 days
(C)
7.1899999999999995 days
(D)
10.69 days
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Q2.
In CAT Quantitative Aptitude & Mathematics (Advanced Algebra, Geometry & Modern Math): A merchant marks an article 30% above cost price and then allows a cash discount of 20%. What is the merchant's net profit percentage?

(A)
0%
(B)
8.0%
(C)
10%
(D)
0%
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