The MHT CET 2024 Maths Question Paper and the answer key helps students prepare for the coming exam. It also allows students to learn important topics from an exam point of view.
MHT CET 2024 Maths question paper consists of questions on trigonometry, probability, vectors, conics, matrices, etc. With the help of the question paper, students can get an idea of the probable questions and type of questions asked in the exam.
MHT CET 2024 is conducted by the Maharashtra State University. It is a state-level entrance examination which is held once a year. Students seeking admission for the B.E., B.Tech, B.Pharma, or Pharma.D programs can appear for the MHT CET exam.
MHT CET 2024 Maths Question Paper: Download PDF
Students appearing for the exam must know the MHT CET exam pattern 2024 to prepare for the same accordingly. They should also check out the previous year's question papers to learn about their strengths and weaknesses.
The MHT CET 2024 maths question paper will be released soon. Meanwhile, students can check out the previous year's question paper for MHT CET 2024 in PDF format.
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Top 20 MHT CET 2024 Maths Questions
MHT CET 2024 is a computer-based test (CBT) in which multiple-choice questions are asked. The questions are asked from subjects like physics, chemistry, maths, and biology. Below mentioned are the top 20 MHT CET maths questions for candidates to perform well in the exam.
The questions below are taken from the MHT CET 2024 Maths question paper for students to get an idea of the exam.
1. Let a, b, and c be distinct non-negative numbers. If the vectors ai+aj+ck, i+k and ci+cj+bk lie in a plane, then c is
(A) not arithmetic mean of a and b.
(B) the geometric mean of a and b.
(C) the arithmetic mean of a and b.
(D) the harmonic mean of a and b.
2. 20 meters of wire can fence a flowerbed as a circular sector. If the flowerbed is to have a maximum surface area, then the radius of the circle is
(A) 8 m
(B) 5 m
(C) 2 m
(D) 4 m
3. Five letters are placed at random in five addressed envelopes. The probability that all the letters are not dispatched in the respective right envelopes is
(A) ⅘
(B) 119/120
(C) 1/120
(D) 1/5
4. The objective function of L.L.P. defined over the convex set attains its optimum value at
(A) none of the corner points.
(B) at least two of the corner points.
(C) all the corner points.
(D) at least one of the corner points.
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5. A round table conference is to be held amongst 20 countries. If two particular delegates wish to sit together, such arrangements can be made in ways.
(A) 18!
(B) 19!/2!
(C) 2 x (18)!
(D) 19! 2!
6. The equation of the line perpendicular to 2x – 3y + 5 = 0 and making an intercept 3 with positive Y-axis is
(A) 3x + 2y – 6 = 0
(B) 3x + 2y – 12 = 0
(C) 3x + 2y – 7 = 0
(D) 3x + 2y + 6 = 0
7. If the surrounding air is kept at 20 °C and the body cools from 80 °C to 70 °C in 5 minutes, then the temperature of the body after 15 minutes will be
(A) 54.7 °C
(B) 51.7 °C
(C) 52.7 °C
(D) 50.7 °C
8. If the standard deviation of the first n natural numbers is 2, then the value of n is
(A) 6
(B) 7
(C) 5
(D) 4
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9. For a Binomial distribution, n = 6, if 9P(X = 4) = P(X = 2), then q =
(A) 2/5
(B) 3/4
(C) 1/4
(D) 1/2
10. In an entrance test, there are multiple-choice questions. There are four possible answers to each question, and one of them is correct. The probability that a student knows the answer to a question is 90%. If he gets the correct answer to a question, then the probability that he was guessing is
(A) 1/40
(B) 1/39
(C) 1/37
(D) 2/43
11. A rectangle with one side lying along the x-axis is to be inscribed in the closed region of the xy plane bounded by the lines y = 0, y = 3x and y = = 302x. The largest area of such a rectangle is
(A) 135/8
(B) 45
(C) 135/2
(D) 90
12. Three vertices of a parallelogram ABCD are A(3, -1, 2), B(1, 2, -4) and C(-1, 1, 2). The coordinates of the fourth vertex D are
(A) (1, 1, 1)
(B) (1, -2, 8)
(C) (2, -2, 6)
(D) (1, 0, 2)
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13. The co-ordinates of the foot of the perpendicular from the point A(1, 1, 1) on the line joining the points B(1, 4, 6) and C(5, 4, 4) are
(A) (3, 4, 5)
(B) (4, 5, 3)
(C) (3, -4, 5)
(D) (-3, -4, 5)
14. (p^~q)^(~p ^ q) is
(A) A tautology
(B) A contradiction
(C) Both a tautology and a contradiction
(D) Neither a tautology nor a contradiction
15. The maximum value of z = 6x + y ≥ 0 is 8y subject to constraints 2x + y ≤ 30, x + 2y ≤ 24 and x ≥ 0 y ≥ 0 is
(A) 90
(B) 120
(C) 96
(D) 240
16. The maximum value of z = 5x + 2y, subject to the constraints x + y ≤ 7, x + 2y ≤ 10, x, y ≥ 0 is
(A) 10
(B) 26
(C) 35
(D) 70
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17. The focus of an ellipse is at the origin. The directrix is the line x = 4 and the eccentricity is 1/2. Then the length of the semi-major axis is
(A) 8/3
(B) 2/3
(C) 4/3
(D) 5/3
18. The internal angles of a convex polygon are in A.P. The smallest angle is 120° and the common difference is 5°. The number of sides of the polygon is
(A) 8/3
(B) 9
(C) 10
(D) 16
19. In a binomial distribution n = 5, P(X = 1) = 0.4096 and P(X = 2) = 0.2048, then the mean of the distribution is equal to
(A) 1
(B) 1.5
(C) 2
(D) 2.5
20. Which of the following is logically equivalent to ~(~p → q)
(A) p ^ q
(B) p ^ ~ q
(C) ~ p ^ q
(D) ~p ^ ~ q
Download: MHT CET Previous Year Question Papers
