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PERIODIC TEST (2021-22) CLASS XI - MATHEMATICS, , PERIODIC TEST, CLASS XI, MATHEMATICS, , Time Allowed : 1 Hr, , Max. Marks : 20, , The question paper is divided into three sections, Section A – MCQs numbers 1-10 are 1 mark each, Section B – Question numbers 11-12 are 2 marks each, Section C – Question numbers 13-14 are 3 marks each, All questions are compulsory, however an internal choice is given in some questions., Instructions:, 1. Every page of your answer sheet must have your name, class and section at the top right corner., 2. Fill your personal details carefully., 3. After the examination is over, take the pictures of your answer sheet from a good camera. The, quality of pictures should be good and pictures should not be blur., 4. Submit the answer sheet via your teachers WhatsApp number., 5. Upload the answer sheet in form of a PDF. Individual photos of answer sheets will not be accepted., 6. Any submission of answers after the time limit will not be accepted., , Page : 1, , Ravindra Public School, Pitampura, Delhi - 110034
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PERIODIC TEST (2021-22) CLASS XI - MATHEMATICS, , SECTION – A, (Each question carries 1 mark), Q1: Solve the system of inequations, a), , b), , c), , d), , c) 6, , d) Not Defined, , c) am–n, , d) Not Defined, , c), , d) Not Defined, , c) 5ex-1, , d) 5ex, , Q2: Evaluate the limit, a) 0, , b) 3, , Q3: Evaluate the limit, a), , b), , Q4: What is the derivative of, a), , b), , Q5: What is the derivative of 5ex, a) 5xex-1, b) ex, , Q6: Find the median for the following data, 1, 20, 32, 18, 20, 21, 5, 7, a) 18, b) 19, c) 20, , d) 21, , Q7: Find the mean deviation about the mean for the following data, 15, 17, 10, 13, 7, 18, 9, 6, 14, 11, a) 3.4, b) 4.3, c) 12, d) 34, Q8: The mean and variance of heights and weights of the students of a class are given below, Height, Weight, Mean, , 140 cm, , Variance, 169 cm2, Which variable is more variable?, a) Height, b) Weight, , 50 kg, 16 kg2, c) Same Variability, , d) Need more information, , Q9: Three unbiased coins are tossed once. What is the probability of getting exactly two heads?, a) 1/8, b) 3/8, c) 7/8, d) 1/2, Page : 2, , Ravindra Public School, Pitampura, Delhi - 110034
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PERIODIC TEST (2021-22) CLASS XI - MATHEMATICS, , Q10: Two dice are thrown simultaneously. Find the probability of getting a doublet?, a) 1/36, b) 5/12, c) 1/2, d) 1/6, , SECTION – B, (Each question carries 2 marks), Q11: Evaluate the following limit, OR, x, , Differentiate xe from the first principle., Q12: Find the mean deviation about the median for the following data, , OR, Find the mean deviation about the mean for the following data, , SECTION – C, (Each question carries 3 marks), Q13: The probability that at least one of the events E1 and E2 occurs is 0.6. If the probability of the, simultaneous occurance of E1 and E2 is 0.2, find P(Ē1) + P(Ē2)., OR, A box contains 100 bolts and 50 nuts. It is given that 50% bolts and 50% nuts are rusted. Two objects, are selected from the box at random. Find the probability that either both are bolts or both are rusted., Q14: A small manufacturing firm produces two types of gadgets A and B, which are first processed in, the foundry and then sent to another machine for finishing. The number of man-hours of labour, required in each shop for the production of each unit of A and B and the number of man-hours for, the firm available per week are as follows:, , Page : 3, , Ravindra Public School, Pitampura, Delhi - 110034
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PERIODIC TEST (2021-22) CLASS XI - MATHEMATICS, , Formulate it in the form of linear inequations. Draw the graph showing the solution of all these, inequations., OR, If a young man rides his motorcycle at 40 km/hr, he has to spend ₹6 per km on petrol and if he rides it, at 50 km per hour, the petrol cost rises to ₹10 per km. He has ₹500 to spend on petrol and wishes to, find the maximum distance he can travel within one hour. Formulate the data in the form of inequations, and draw a graph representing the solution of these inequations., , Page : 4, , Ravindra Public School, Pitampura, Delhi - 110034
