CUET MATHS MOCK TEST 1 Leave a Comment / By pdhantubalak / May 10, 2023 Welcome to your CUET MATHS MOCK TEST 1 Name Email 1. In a Binomial Distribution (BD) the mean is 15 and variance is 10, then parameter n (number of trials) is Deselect Answer 28 16 45 25 2. . Deselect Answer 3. . Deselect Answer Maximum Minimum 0 1 4. If P = {1, 2, 3, 4} and Q = {a1, a2}, then the number of onto functions from P to Q is? Deselect Answer 12 14 16 18 5. The plane x - 3y + 5z - 8 = 0 makes an angle sin^-1 (∝) with Z -axis . the value of ∝ is equal to Deselect Answer 7/√35 1/√7 5/√35 0 6. . Deselect Answer y -y xy -xy 7. The probability distribution of a random variable X is given as.The value of p is - Deselect Answer 1/72 3/72 1/54 3/54 8. If A is a skew symmetric matrix and n is a positive integer, then A^n is Deselect Answer A symmetric matrix Skew - symmetric matrix None of these 9. . Deselect Answer -1 1 2 -2 10. An equation of a plane parallel to x + 2y + 2z = 5 and at a unit distance from the origin is given by Deselect Answer x + 2y + 2z + 3 = 0 x + 2y + 2z + 6 = 0 x + 2y + 2z + 1 = 0 11. . Deselect Answer √11 √13 11 13 12. The number of solutions of the equations x + 4y - z = 0, 3x - 4y - z = 0, x-3y + z = 0 is Deselect Answer 0 1 2 infinite 13. Find the degree and order of differential equation y''' - sin(y') + y = 0 is Deselect Answer Degree 3 and order 1 Degree 1 and order 3 Degree 1 and order 1 Cannot be determined 14. The line y = 0 divides the line joining the points (3, -5) and (-4, 7) in the ratio: Deselect Answer 3 ∶ 4 5 ∶ 7 7 ∶ 9 15. The area of the region satisfying the inequalities |x| - y ≤ 1, y ≥ 0 and y ≤ 1 is Deselect Answer 3 6 -3 8 16. A linear programming problem is shown below: Maximize 3x + 7y 3x + 7y ≤ 10 Subject to 4x + 6y ≤ 8 x, y ≥ 0 Deselect Answer an unbounded objective function exactly one optimal solution exactly two optimal solutions infinitely many optimal solutions 17. The area of the triangle formed by the tangents to the circle x^2 + y^2 = 25 at (3, 4) and co-ordinate axes is Deselect Answer 625/24 625 625/9 625/3 18. . Deselect Answer A B C D 19. A square non-singular matrix A satisfies the equation x2 - 4x + 3 = 0, then A-1 is equal to Deselect Answer (I - A)/3 (4I + A)/3 (4I - A)/3 (3I - A)/4 20. If A is square matrix such that A2 = A, then (I - A)3 + A is equal to Deselect Answer A I-A I 3A 21. . Deselect Answer 0 1 -1 3 22. The maximum value of Z = 3x + 4y subjected to the constraints 2x + y ≤ 4, x + 2y ≥ 12, x ≥ 0, y ≥ 0 Deselect Answer 10 20 30 No feasible solution 23. The shaded region in the graph is shown by the inequalities (Constraints): Deselect Answer y ≥ - 4; y < x + 3; y ≤ - 3x + 3 y ≥ -4; y < x + 3; y ≥ -3x + 3 y ≤ -4; y < x + 3; y ≥ -3x + 3 y ≤ -4; y < x + 3; y ≤ -3x + 3 24. If A = {0, 1, 2, 3}, B = {1, - 1} and R is a relation from A to B such that {(x, y) : x ∈ A, y ∈ B and y = i^x where i is the imaginary number} then find the domain of R ? Deselect Answer {0 ,1, 3} {1, 3} {1, 2, 3} {0, 2} 25. . Deselect Answer A B C D 26. If * is a binary operation on Q where Q is set of rational numbers such that a * b = ab/2 ∀ a, b ∈ Q then find the identity element of Q with respect to operation * ? Deselect Answer 1 2 1/2 NONE OF THESE 27. . Deselect Answer A B C D 28. . Deselect Answer A B C D 29. . Deselect Answer A B C D 30. The rate of change of a variable is proportional to that variable. How will the variation of that variable with respect to time? Deselect Answer Parabolic Logarithmic Exponential None 31. . Deselect Answer A B C D 32. Two digits out of 1, 2, 3, 4, 5 are chosen at random and multiplied together. What is the probability that the last digit in the product appears as 0? Deselect Answer 1/10 1/5 2/5 2/10 33. If f(x) = (x + 1) and g(x) = (x^2 - 7) and t(x) = f(x) + g(x) then find the minimum value of t(x) Deselect Answer 24/7 12/5 -12/5 -25/4 34. Consider the following statements for f(x) = e-|x| ; 1. The function is continuous at x = 0. 2. The function is differentiable at x = 0. Which of the above statements is / are correct? Deselect Answer 1 only 2 only Both 1 and 2 Neither 1 nor 2 35. . Deselect Answer 0 NULL VECTOR 2 NONE OF THESE 36. Which of the following statements is FALSE for a differentiable function f(x)? Deselect Answer At a critical point of f(x), the derivative of f(x) is either 0 or undefined. A critical point of f(x) must belong to the domain of f(x). f(x) has at least one critical point. A local extremum of f(x) must occur at a critical point of f(x). 37. . Deselect Answer 2 0.5 -1 -0.5 38. If A and B are two mutually exclusive events such that P(A) = 0.4 and P(A ∪ B) = 0.6 then P(B) = ? Deselect Answer 0.2 0.4 0.6 None of these 39. . Deselect Answer A B C D 40. . Deselect Answer A B C D 41. Read the case study carefully and answer any four out of the following questions:Three friends Ravi, Raju and Rohit were buying and selling stationery items in a market. The price of per dozen of Pen, notebooks and toys are Rupees x, y and z respectively.Ravi purchases 4 dozen of notebooks and sells 2 dozen pens and 5 dozen toys. Raju purchases 2 dozen toys and sells 3 dozen pens and 1 dozen of notebooks. Rohit purchases one dozen of pens and sells 3 dozen notebooks and one dozen toys.In the process, Ravi, Raju and Rohit earn ₹ 1500, ₹ 100 and ₹400 respectively.What is the price of one dozen of pens?Deselect Answer ₹ 100 ₹ 200 ₹ 300 ₹ 400 42. Read the case study carefully and answer any four out of the following questions:Three friends Ravi, Raju and Rohit were buying and selling stationery items in a market. The price of per dozen of Pen, notebooks and toys are Rupees x, y and z respectively.Ravi purchases 4 dozen of notebooks and sells 2 dozen pens and 5 dozen toys. Raju purchases 2 dozen toys and sells 3 dozen pens and 1 dozen of notebooks. Rohit purchases one dozen of pens and sells 3 dozen notebooks and one dozen toys.In the process, Ravi, Raju and Rohit earn ₹ 1500, ₹ 100 and ₹400 respectively.What is the total price of one dozen of pens and one dozen of notebooks?Deselect Answer ₹ 100 ₹ 200 ₹ 300 ₹ 400 43. Read the case study carefully and answer any four out of the following questions:Three friends Ravi, Raju and Rohit were buying and selling stationery items in a market. The price of per dozen of Pen, notebooks and toys are Rupees x, y and z respectively.Ravi purchases 4 dozen of notebooks and sells 2 dozen pens and 5 dozen toys. Raju purchases 2 dozen toys and sells 3 dozen pens and 1 dozen of notebooks. Rohit purchases one dozen of pens and sells 3 dozen notebooks and one dozen toys.In the process, Ravi, Raju and Rohit earn ₹ 1500, ₹ 100 and ₹400 respectively.What is the sale amount of Ravi?Deselect Answer ₹ 1000 ₹ 1100 ₹ 1300 ₹ 1200 44. Read the case study carefully and answer any four out of the following questions:Three friends Ravi, Raju and Rohit were buying and selling stationery items in a market. The price of per dozen of Pen, notebooks and toys are Rupees x, y and z respectively.Ravi purchases 4 dozen of notebooks and sells 2 dozen pens and 5 dozen toys. Raju purchases 2 dozen toys and sells 3 dozen pens and 1 dozen of notebooks. Rohit purchases one dozen of pens and sells 3 dozen notebooks and one dozen toys.In the process, Ravi, Raju and Rohit earn ₹ 1500, ₹ 100 and ₹400 respectively.What is the amount of purchases made by all three friends?Deselect Answer ₹ 1200 ₹ 1500 ₹ 1300 ₹ 1400 45. Read the case study carefully and answer any four out of the following questions:Three friends Ravi, Raju and Rohit were buying and selling stationery items in a market. The price of per dozen of Pen, notebooks and toys are Rupees x, y and z respectively.Ravi purchases 4 dozen of notebooks and sells 2 dozen pens and 5 dozen toys. Raju purchases 2 dozen toys and sells 3 dozen pens and 1 dozen of notebooks. Rohit purchases one dozen of pens and sells 3 dozen notebooks and one dozen toys.In the process, Ravi, Raju and Rohit earn ₹ 1500, ₹ 100 and ₹400 respectively.What is the price of sales made by all three friends?Deselect Answer ₹ 3000 ₹ 2500 ₹ 2700 ₹ 2400