Maharashtra State Council of Educational Research and Training, Pune Class 12th/HSC Arts and Science Mathematics & Statistics Question Bank With Answer Key March 2021
Maharashtra Class XII Mathematics Sample Questions
Mathematical Logic: Select and write the most appropriate answer from the given alternatives:
Which of the following statement is true a) 3 + 7 =4 or 3 – 7 = 4 b) If Pune is in Maharashtra, then Hyderabad is in Kerala c) It is false that 12 is not divisible by 3 d) The square of any odd integer is even.
Which of the following is not a statement a) 2+2 =4 b) 2 is the only even prime number c) Come here d) Mumbai is not in Maharashtra
A biconditional statement is the conjunction of two ————— statements a) Negative b) Compound c) Connective d) Conditional
Attempt the following 2 marks : i) Write the following compound statements symbolically. a) Nagpur is in Maharashtra and Chennai is in Tamilnadu. b) Triangle is equilateral or isosceles.
ii) . Write the converse and contrapositive of the following statements. “If a function is differentiable then it is continuous”.
Linear Programming Problems: 1. The corner points of the feasible solutions are (0,0) (3,0) (2,1) (0,7/3) the maximum value of Z = 4x+5y is a) 12 b) 13 c) 35/3 d) 0
2. The half plane represented by 4x+3y >14 contains the point a) (0,0) b) (2,2) c) (3,4) b) (1,1)
3. The feasible region is the set of point which satisfy a) The object functions b) All the given constraints c) Some of the given constraints d) Only one constraint
4. Objective function of LPP is a) A constraint b) A function to be maximized or minimized c) A relation between the decision variable d) Equation of straight line
5. The value of objective function is maximum under linear constraints a) At the center of the feasible region b) At (0,0) c) At vertex of feasible region d) At (-1, -1)
6. If a corner point of the feasible solutions are (0,10) (2,2) (4,0) (3,2) then the point of minimum Z = 3x + 2y is a) (2,2) b) (0,10) c) (4,0) b) (3,2)
7. The point of which the maximum value of z= x+y subject to constraints x+2y=70, 2x+y = 90, x=0, y=0 is obtained at a) (30,25) b) (20,35) c) (35,20) b) (40,15)
8. A solution set of the inequality x = 0 a) Half plane on the Left of y axis b) Half plane on the right of y axis excluding the point on y-axis c) Half plane on the right of y axis including the point on y axis d) Half plane on the upword of x axis
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