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CUET Math Mock Test 2024

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Consider a linear programming problem (LLP) where R represents the set of all feasible solutions.
A. If R is unbounded then a max/min value of objective function may not exist.
B. If R is bounded then a max. and min value of objective function will always exist.
C. If a solution exists, it must occur at a corner point.
D. If R is bounded then max. will exist but min may or may not exist for an objective function.
Choose the correct answer from the options given below:

(1) A, B, C only

(2) B only

(3) A, C only

(4) D, C only

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The critical points of f(x) = x³ + x² + x + 1 are

(1) 2, 1

(2) –2, –1

(3) 2, –1

(4) do not exist

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A manufacturing firm produces two product models, M₁ and M₂. Manufacturing one unit of M₁ involves 9 hours of labor for fabrication and 1 hour for finishing, while producing one unit of M₂ requires 12 hours for fabrication and 3 hours for finishing. The maximum available labor hours for fabrication and finishing are 180 and 30, respectively. The company earns a profit of Rs. 800 for each unit of M₁ and Rs. 1200 for each unit of M₂.
The maximum profit will be at the point

(1) (0, 10)

(2) (20, 0)

(3) (12, 6)

(4) (0, 0)

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What differential equation models the set of circles that are tangent to the x-axis at the point of origin

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Which one of the following options is incorrect?
For a square matrix A in the matrix equation AX = B.

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What is the probability of getting at least one head if you flip a fair coin 10 times?:

(1) 1/1024

(2) 17/1024

(3) 1023/1024

(4) 23/1024

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What is the variation in the number of kings you expect to draw when picking two cards at random (without replacement) from a well-shuffled deck of 52 cards?

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CUET Maths Mock Exam Pattern

Total Questions: 40 MCQ
Total Mark: 200 Mark
Correct Answer: +5 Mark
Wrong Answer: –1 Mark
Passing Mark for QR AIR: 30%

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CUET Math Mock Test 2024

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CUET Maths Mock Exam Pattern

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