CBSE Class 12 Applied Mathematics 2023

Marks by chapter

Counted from the 36 questions listed below, as the 2023 papers print them. CBSE allocates marks per unit, not per chapter — this is what was observed, not an official CBSE weightage. Every year compared →

36 questions from 2023

• Q1The last (unit) digit of (22)^12 is:1 mk
• Q2The least non-negative remainder, when 3^15 is divided by 7 is:1 mk
• Q3If A= [1, 0; -2, 1] and B= [-5, 10; -10, -5], then AB is:1 mk
• Q4If [x+y, x+2; 2 x-y, 16] = [8, 5; 1, 3 y+1], then the values of x and y are:1 mk
• Q5The ratio in which a grocer mixes two varieties of pulses costing ₹ 85 per kg and ₹ 100 per kg respectively so as to…1 mk
• Q6If (|x+1|)/(x+1)>0, x ∈ R, then:1 mk
• Q7A and B are square matrices each of order 3 such that |A|=-1 and |B|=3. What is the value of |3 AB|?1 mk
• Q8If |2, 3, 2; x, x, x; 4, 9, 1| +3=0, then the value of x is:1 mk
• Q9The relation between ‘Marginal cost’ and ‘Average cost’ of producing ‘x’ units of a product is:1 mk
• Q10∫(x-1) e^-x dx is equal to:1 mk
• Q11The solution of the differential equation dx/x+dy/y=0 is:1 mk
• Q12If X is a Poisson variable such that P(X=1)=2 P(X=2), then P(X=0) is:1 mk
• Q14For testing the significance of difference between the means of two independent samples, the degree of freedom (v) is…1 mk
• Q15The straight line trend is represented by the equation:1 mk
• Q17The effective rate which is equivalent to nominal rate of 10 % p.a. compounded quarterly is:1 mk
• Q18Region represented by x ≥ 0, y ≥ 0 lies in1 mk
• Q19Questions number 19 and 20 are Assertion and Reason based questions carrying 1 mark each. Two statements are given, one…1 mk
• Q20Questions number 19 and 20 are Assertion and Reason based questions carrying 1 mark each. Two statements are given, one…1 mk
• Q21Two pipes A and B can fill a tank in 24 minutes and 32 minutes respectively. If both the pipes are opened…2 mk
• Q22Solve for x: (x+3)/(x-2) ≤ 2.2 mk
• Q23Solve the following system of equations by Cramer's rule: 2 x-y=17, 3 x+5 y=6 OR Determine the integral value(s) of x…2 mk
• Q24A particle moves along the curve 6 y=x^3+2. Find the points on the curve at which the ordinate is changing 8 times as…2 mk
• Q25Suppose 2 % of the items made by a factory are defective. Find the probability that there are 3 defective items in a…2 mk
• Q26A bottle is full of dettol. One-third of its dettol is taken away and an equal amount of water is poured into the…3 mk
• Q27Find all the points of local maxima and local minima for the function f(x)=x^3-6 x^2+9 x-8.3 mk
• Q28An unbiased die is thrown again and again until three sixes are obtained. Find the probability of obtaining a third six…3 mk
• Q29The mean weekly sales of a four-wheeler were 50 units per agency in 20 agencies. After an advertising campaign, the…3 mk
• Q30An asset costs ₹ 4,50,000 with an estimated useful life of 5 years and a scrap value of ₹ 1,00,000. Using linear…3 mk
• Q31Maximise z=300 x+190 y subject to constraints: x+y ≤ 24, 2 x+y ≤ 32, x ≥ 0, y ≥ 0.3 mk
• Q32Find the inverse of the matrix: A= [-1, 1, 2; 3, -1, 1; -1, 3, 4] and hence show that AA^-1=I. OR Using matrix method,…5 mk
• Q33Divide a number 15 into two parts such that the square of one part multiplied with the cube of the other part is…5 mk
• Q34Fit a straight line trend by method of least squares to the following data and find the trend values:5 mk
• Q35Define Compound Annual Growth Rate (CAGR) and give the formula for calculating CAGR. Using the formula, calculate CAGR…5 mk
• Q36A factory produces bulbs, of which 6 % are defective bulbs in a large bulk of bulbs. Based on the above information,…4 mk
• Q37A factory manufactures tennis rackets and cricket bats. A tennis racket takes 1 1/2 hours of machine time and 3 hours…4 mk
• Q38In the year 2010, Mr. Aggarwal took a home loan of ₹ 30,00,000 from State Bank of India at 7.5 % p.a. compounded…4 mk