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CBSE Board Exam Previous Solved Paper |

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Re: CBSE Board Exam Previous Solved Paper
Here I am giving you question paper for the some important subjects of CBSE examination in PDF attached with it so you can get it easily. Some questions are given below : Mathematics paper : SECTION - A Q.1. If A is a square matrix of order 3 such that |adj A| = 64, find |A|. Q.2. If A, B, C are three non zero square matrices of same order, find the condition on A such that AB = AC ⇒ B = C Q.3. Give an example of two non zero 2 × 2 matrices A, B such that AB = 0. Q.4. If f (1) = 4; f ′ (1) = 2, find the value of the derivative of log f(ex) w.r.t x at the point x = 0. Q.5. Find a, for which f(x) = a(x + sin x) + a is increasing. Q.9. A four digit number is formed using the digits 1, 2, 3, 5 with no repetitions. Find the probability that the number is divisible by 5. Q.10. The probability that an event happens in one trial of an experiment is 0.4. Three independent trials of the experiment are performed. Find the probability that the event happens at least once. Q.21. In a bolt factory machines, A, B and C manufacture respectively 25%, 35% and 40% of the total bolts. Of their output 5, 4 and 2 percent are respectively defective bolts. A bolt is drawn at random from the product. (i) What is the probability that the bolt drawn is defective ? (ii) If the bolt is found to be defective find the probability that it is a product of machine B. Q.22. Two dice are thrown simultaneously. Let X denote the number of sixes, find the probability distribution of X. Also find the mean and variance of X, using the probability distribution table. Q.24. A window has the shape of a rectangle surmounted by an equilateral triangle. If the perimeter of the window is 12m, find the dimensions of the rectangle that will produce the largest area of the window. Q.25. Make a rough sketch of the region given below and find it’s area using integration ( ) { } 9 y 4 x 4 , x 4 y ; , 2 2 2 ≤ + ≤ y x Q.26. Every gram of wheat provides 0.1 gm of proteins and 0.25 gm of carbohydrates. The corresponding values for rice are 0.05 gm and 0.5 gm respectively. Wheat costs Rs. 4 per kg and rice Rs. 6 per kg. The minimum daily requirements of proteins and carbohydrates for an average child are 50 gms and 200 gms respectively. In what quantities should wheat and rice be mixed in the daily diet to provide minimum daily requirements of proteins and carbohydrates at minimum cost. Frame an L.P.P. and solve it graphically.
__________________ Answered By StudyChaCha Member |

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