MATHS MOCK TEST 2 Welcome to your CUET MATHS MOCK TEST 2 Name Email 1. A straight line with direction cosines {0, 0, 1} is Deselect Answer Parallel to x-axis parallel to y-axis parallel to z-axis Equally inclined to all the axes 2. . Deselect Answer Order = 1, Degree = 9 Order = 2, Degree = 2/3 Order = 2, Degree = 4 Order = 1, Degree = 8 3. . Deselect Answer 3/2X 0 3/X 1/2X 4. f at point on the curve y = f(x) the slope of the line tangent to the curve is equal to 2xy. Then the function f is Deselect Answer Linear Logarithmic Exponential Trigonometric 5. . Deselect Answer A B C D 6. . Deselect Answer 4 10 -10 -4 7. If f(x) is an increasing function and g(x) is a decreasing function then which of the following is correct for the real value of x as p and q. Given that for these values of x, both functions are defined? Deselect Answer If p > q ⇒ f(p) > f(q) and g(p) < g(q) If p > q ⇒ f(p) < f(q) and g(p) < g(q) If p > q ⇒ f(p) g(q) None 8. The function f(x) = x^2 – 4x, x ∈ [0, 4] attains minimum value at Deselect Answer x = 0 x = 1 x = 2 x = 4 9. Let f and g be differentiable functions on R such that fog is the identify function. If for some a, b∈ R, g'(a) = 5 and g(a) = b, then f'(b) is equal to Deselect Answer 2/5 1 1/5 5 10. . Deselect Answer 0 1 -1 2 11. What is the probability of getting a numbered card when the card drawn from the 52 card packs? Deselect Answer 3/7 4/9 5/13 9/13 12. Given P (H) = 0.3 P(R) = 0.4 P(H/R) = 0.2 than P(R∩H) = ? Deselect Answer 0.8 0.08 0.6 0.06 13. . Deselect Answer 1/11 1/12 1/13 1/14 14. Let S = {(x, y): x2 + y2 = 1, – 1 ≤ x ∈ R ≤ 1 and – 1 ≤ y ∈ R ≤ 1} Which one of the following is correct? Deselect Answer S is a one – one function S is a many – one function S is a bijective mapping S is not a function 15. A fair die is tossed thrice. If the probabilities of zero, one two, and three successes are 8/27, 4/9, 2/9, and 1/27 respectively. Find the mean of the number of successes ______ Deselect Answer 0.5 1 7/2 5/2 16. Let A = {a, b, c, d} and B = {1, 2, 3, 4, 5, 6}. Then the number of one-to-one functions from A to B is: Deselect Answer 360 120 24 180 17. If A = {1, 2, 3, 4, 5} and let * is an operation on A such that a * b = min {a, b} 1. * is a binary operation on A 2. * is commutative on A Deselect Answer * is a binary operation on A * is not a binary operation on A A binary operation may or may not satisfy the closure property. Insufficient information 18. Durgesh is working in a restaurant in which he prepares two types of dishes A and B. Dish A takes 20 minutes to be prepared and Dish B takes 30 minutes for the same. He earns Rs 50 to make one packet of dish A, while Rs 70 for one packet of dish B. He works for 12 hours a day. He needs 1 hour in those 12 hours for his personal activities. What will be the constraints, if this example is formulated as a linear programming problem? Assume x and y be the packets of dishes A and B respectively. Deselect Answer 50x + 30y -60 ≤ 720 20x + 30y – 60 ≤ 720 20x + 30y ≤ 720 50x + 70y ≤ 720 19. The number of solutions in a linear programming model to maximize the objective function 5x + 4y subject to the constraints, x – 2y ≥ 2, 2x – 4y ≤ – 3, x, y ≥ 0 will be, Deselect Answer 1 2 INFINITE 0 20. The maximum value of the object function Z = 4x + 3y subject to the constraints 4x + 2y ≤ 12, 2x + 4y ≥ 6, x ≥ 0, y ≥ 0 is Deselect Answer 18 24 19 36 21. If O(A) = 2 × 3, O(B) = 3 × 2 and O(C) = 3 × 3, which one of the following is not defined Deselect Answer CB + A’ BAC C(A + B’) 22. Let the function f : [-7, 0] → R be continuous [-7, 0] and differentiable on (-7, 0). If f(-7) = -3 and f'(x) ≤ 2, for all x ∈ (-7, 0), then for all such functions f, f(-1) + f(0) lies in the interval Deselect Answer [-6, 20] [-∞, 20] [-∞, 11] [-3, 11] 23. Set of equations a + b – 2c = 0, 2a – 3b + c = 0 and a -5b + 4c = α is consistent for what value of α if the cofactors of the matrix formed by coefficient of a, b and c is having the cofactors as C11 = 7, C12 = -7, C13 = 7, C21 = 6, C22 = – 6, C23 = 6, C31 = 5, C32 = -5, C33 = 5. Where, Cij is the cofactor of element in ith row and jth column. Deselect Answer 1 0 -1 2 24. Find the area bounded by the curves y ≥ x^2 and y = |x| Deselect Answer 17/6 8/3 2 1/3 25. The activities or limitations competing with one another to share the the amount of a resources in linear programming are called Deselect Answer Decision Variables Objective Function Constraints None of the above 26. . Deselect Answer 2 5 7 0 27. . Deselect Answer 1 3 2 0 28. . Deselect Answer A B C D 29. . Deselect Answer 1/2 1 3/2 2 30. . Deselect Answer A B C D 31. In throwing a six faced die, let A be the event that an even number occurs, B be the event that an odd number occurs and C be the event that a number greater than 3 occurs. Which one of the following is correct? Deselect Answer In throwing a six faced die, let A be the event that an even number occurs, B be the event that an odd number occurs and C be the event that a number greater than 3 occurs. Which one of the following is correct? A and B are mutually exclusive B and C are mutually exclusive A, B and C are mutually exclusive 32. . Deselect Answer A B C D 33. . Deselect Answer A B C D 34. . Deselect Answer A B C D 35. . Deselect Answer A B C D 36. . Deselect Answer A B C D 37. . Deselect Answer A B C D 38. ind the image of point (-2, 1, 1) in the plane x + y + z = 0 Deselect Answer (-1, -1, -1) (-2, 1, 1) (1, 1, 1) (-1, -2, -3) 39. . Deselect Answer A B C D 40. . Deselect Answer A B C D 41. A plane started from airport O with a velocity of 120 m/s towards east. Air is blowing at a velocity of 50 m/s towards the north As shown in the figure.The plane travelled 1 hr in OA direction with the resultant velocity. From A and B travelled 1 hr with keeping velocity of 120 m/s and finally landed at B.What is the resultant velocity from O to A?Deselect Answer 100 m/s 130 m/s 120 m/s 170 m/s 42. A plane started from airport O with a velocity of 120 m/s towards east. Air is blowing at a velocity of 50 m/s towards the north As shown in the figure.The plane travelled 1 hr in OA direction with the resultant velocity. From A and B travelled 1 hr with keeping velocity of 120 m/s and finally landed at B.What is the direction of travel of plane O to A with east?Deselect Answer tan−1(5/12) tan−1(12/3) 40 degree 30 degree 43. A plane started from airport O with a velocity of 120 m/s towards east. Air is blowing at a velocity of 50 m/s towards the north As shown in the figure.The plane travelled 1 hr in OA direction with the resultant velocity. From A and B travelled 1 hr with keeping velocity of 120 m/s and finally landed at B.What is the total displacement from O to A?Deselect Answer 500 km 468 km 432 km 400 km 44. A plane started from airport O with a velocity of 120 m/s towards east. Air is blowing at a velocity of 50 m/s towards the north As shown in the figure.The plane travelled 1 hr in OA direction with the resultant velocity. From A and B travelled 1 hr with keeping velocity of 120 m/s and finally landed at B.What is the resultant velocity from A to B?Deselect Answer 120 m/s 70 m/s 170 m/s 200 m/s 45. A plane started from airport O with a velocity of 120 m/s towards east. Air is blowing at a velocity of 50 m/s towards the north As shown in the figure.The plane travelled 1 hr in OA direction with the resultant velocity. From A and B travelled 1 hr with keeping velocity of 120 m/s and finally landed at B.What is the displacement from A to B?Deselect Answer 550 km 432 km 600 km 612 km Previous Next
