Here’s a structured response to your request for a "CMAT 2024 Slot 1 Question Paper with Solutions" in English, tailored for Indian management aspirants. This is a simulated version based on typical CMAT question patterns (as actual 2024 papers are not yet publicly available).
CMAT 2024 Slot 1 Question Paper with Solutions
English Version for Indian Management aspirants
Section 1: Quantitative Ability
Question:
If ( x + \frac{1}{x} = 5 ), find the value of ( x^3 + \frac{1}{x^3} ).
Solution:
Use the identity ( (x + \frac{1}{x})^3 = x^3 + \frac{1}{x^3} + 3(x + \frac{1}{x}) ).
Substitute ( x + \frac{1}{x} = 5 ):
( 5^3 = x^3 + \frac{1}{x^3} + 3(5) )
( 125 = x^3 + \frac{1}{x^3} + 15 )
( x^3 + \frac{1}{x^3} = 110 ).
Question:
A train travels 300 km at a speed of 60 km/h and returns at 40 km/h. Find the average speed for the round trip.
Solution:
Average speed = ( \frac{2 \times 60 \times 40}{60 + 40} = \frac{4800}{100} = 48 ) km/h.
Section 2: Logical Reasoning
Question:
Arrange the following in logical order:
(A) Read the manual
(B) Install software
(C) Connect the device
(D) Update the driver
Solution:
Correct sequence: C → A → B → D (Connect device, read manual, install software, update driver).
Question:
Which of the following is an example of a cause-effect chain?
(1) Heavy rain → Flood → Traffic jam
(2) Exam fear → Lack of study → Poor grades
(3) Price hike → Demand drop → Production cut
Solution: All options are cause-effect chains. Correct answer depends on the exam’s context.
Section 3: Verbal Ability
Question:
Identify the grammatically correct sentence:
(a) She don’t like apples.
(b) They are going to the park.
(c) The children play football.
Solution: (b) "They are going to the park." (Correct tense and subject-verb agreement).
Question:
Which word is a synonym for "frugal"?
(a) Generous
(b) thriftily
(c) Luxurious
Solution: (b) thriftily (Synonym: thrifty).
Section 4: Data Interpretation
Question:
Solve the table:
Year
Sales (in Lakh)
Profit Margin
2022
240
15%
2023
300
?
Given that profit in 2023 is ₹42 lakh, find the profit margin for 2023.
Solution:
Profit = Sales × Margin → 420000 = 3000000 × Margin
Margin = ( \frac{420000}{3000000} = 14% ).
Section 5: Indian Polity (Sample)
Question:
Which authority is responsible for appointing the Chairperson of the National Commission for Backward Classes?
(a) President of India
(b) Prime Minister
(c) Parliament
Solution: (a) President of India (Appointed by President on Parliament’s recommendation).
Key Takeaways for Aspirants
Focus on time management (e.g., 60 minutes for 100 questions).
Practice data interpretation with real-time scenarios.
Review grammatical rules (especially subject-verb agreement).
Use CMAT previous years’ papers for pattern analysis.
Note: This is a simulated paper. For official 2024 CMAT updates, refer to the official CMAT website.
Let me know if you need further clarification! 😊
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