The CAT VARC section requires good reading skills, critical thinking, and attention to detail, along with a thorough understanding of the Logical Reasoning. This article provides a set of MCQs on Logical Reasoning to help you understand the topic and enhance your verbal ability with the help of detailed solutions, which will help you in the CAT 2025 exam 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 24 questions from the VARC section out of a total of 68 questions.
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CAT MCQs on Logical Reasoning
1. Given \( a \) and \( b = a - b \); \( a \) and \( b \) but \( c = a + c - b \); \( a \) or \( b = b - a \); \( a \) but not \( b = a + b \); find 1 or (2 but not (3 or (4 and 5 but (6 but not (7 and (8 or 9)))))).
A
9
B
-8
C
-11
D
17
2. Given that \( x \mathbin{@} y = x - y \), then find \( (x \mathbin{\$} y) + (x \mathbin{£} y) \).
A
\( 2x^2 \)
B
\( 2y^2 \)
C
\( 2(x^2 + y^2) \)
D
Cannot be determined
3. The expression \((x \mathbin{£} y) + (x \mathbin{@} y))^2 - 2(x \mathbin{£} y)\) will be equal to:
A
\( x \mathbin{£} y \)
B
\( x \mathbin{\$} y \)
C
\( (x \mathbin{£} y)(x \mathbin{@} y) \)
D
Cannot be determined
4. Which of the following combinations of participants in a room will satisfy all conditions for both the rooms?
A
B, C, F
B
C, D, F, G
C
A, D, E, G
D
D, G, C, E
5. What is the total number of various combinations of room-mates possible, which satisfy all the conditions mentioned?
A
2
B
3
C
4
D
5
6. If another participant \( H \) is to join the group, then he can be placed with any of the following, except:
A
B, E and F, if H is a Bengali
B
C, D and G, if H is a Tamilian
C
B, E and F, if H is a Tamilian
D
A, B and F, if H is a Gujarati
7. Three trains-Rajdhani Express, Shatabdi Express and Taj Mahal Express-travel between two stations without stopping anywhere in between. No two trains have thesame starting station or the same terminating station or the same travel fare. Also, the following known about these trains.
A
The fare for the train which travels betweenChennai and Pune is 1650.
B
\rupee 1650
C
\rupee 1800
D
\rupee 1050
8. Which among the following statements is definitely true?
A
The fare for Shatabdi Express, which travels between Bengaluru and Agra is \rupee 1800
B
The fare for Taj Mahal Express, travels between Delhi and Mumbai is \rupee 1050
C
The fare for Rajdhani Express, which travels between Delhi and Pune is \rupee 1650
D
None of the above
9. Among the given five players, who scored the least number of runs in the 3rd match?
A
Sehwag
B
Ganguly
C
Tendulkar
D
Cannot be determined
10. If Tendulkar scored more runs than Ganguly in the 2nd match, then who is the second highest scorer in the 1st match?
A
Sehwag
B
Laxman
C
Dravid
D
Ganguly
11. Over the last 20 years the rate of increase in total production in Workland has been second to none in the world. However, the growth is more modest when calculated per capita of total population. Over the last ten years progress has been much slower. If the information above is accurate, which of the following must be true?
A
Workland has a very large population.
B
Productivity per capita has not grown as fast during the past ten years.
C
Total production has increased faster than population growth.
D
The birth rate has declined.
12. Between 1979 and 1983, the number of unincorporated business self-employed women increased five times faster than the number of self-employed men and more than three times faster than women wage-and-salary workers. Part-time self-employment among women increased more than full-time self-employment. Each of the following, if true, could help to account for this trend except:
A
Owning a business affords flexibility to combine work and family responsibilities.
B
The proportion of women studying business administration courses has grown considerable.
C
There are more self-employed women than men.
D
Unincorporated service industries have grown by 300 percent over the period; the ratio of women to men in this industry is three to one.
13. There is no clear line between health and illness; it is easy to forget what it feels like to be really well and to get gradually used to often being a headache, feeling irritable, or tired. There is an unrecognized proportion of the population that has been tipped over the brink into ill health by ubiquitous contaminants. Which of the following statements best describes the purpose of the above?
A
The public must be encouraged to have regular medical examinations.
B
The public must be warned to be aware of various physical and chemical hazards.
C
The public must be warned to treat seriously such symptoms as headaches, irritability, and tiredness.
D
The medical professional is not always capable of diagnosing illness. \textbf{Correct answer:} (B) The public must be warned to be aware of various physical and chemical hazards.
14. Identify the pair or sequence of sentences that are chronologically and logically connected to form a coherent narrative:
A. Last Sunday, Archana had nothing to do.
B. After waking up, she lay on the bed thinking of what to do.
C. At 11 o’clock she took shower and got ready.
D. She spent most of the day shopping.
B. After waking up, she lay on the bed thinking of what to do.
C. At 11 o’clock she took shower and got ready.
D. She spent most of the day shopping.
A
B and C
B
C
C
A and B
D
B, C and D
15. Each of Mr. Raj, his mother, his wife, and his son is a different professional among lawyer, doctor, engineer, and accountant. - Accountant is not the son of the lawyer (lawyer is blood relative of the doctor). - Engineer is son of the accountant, who is not blood relative of the doctor. Who can \textbf{never be the doctor?}
A
Mr. Raj
B
Mr. Raj's wife
C
Mr. Raj's son
D
Both A and C
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