PUE Karnataka PUC II Basic Mathematics Model Questions
Part – A: 1. How many 6 digit numbers can be formed with the digits 2, 7, 6, 1, 9, 8? a) 24 b) 6?4 c) 720 d) 6
2. Negation of the proposition ~? ∨ ? is a) ~? ∨∼ ? b) ? ∧∼ ? c) ? ∨ ? d) ~ ? ∧∼ ?
3. The mean proportional to the ratio 2 and 8 is a) 5 b) −4 c) 16 d) 4
4. If 5 : 20 =3 : ? , then ? is ______ 5. The amount of stock at Rs.75 that can be bought for Rs.3375 is ______ 6. A shopkeeper purchases an article for Rs.7000 and sells it to a customer at Rs.8200. If VAT is at 6%, then the VAT paid by the shopkeeper is ______ 7. Symbolize the proposition: If oxygen is a gas then gold is a compound. 8. Define Banker’s gain. 9. Define learning index. 10. Find the length of LR for the parabola ?2 = 32?.
Part – B: 1. If the compound proposition ? → (? ∨ ?) is false, then find the truth values of ?, ? and ?. 2. What must be added to each term in the ratio 2 : 3 so that it becomes 5 : 6 ? 3. TD on a bill was Rs.100 and BG was Rs.10. what is the face value of the bill ? 4. Find the equation of the parabola given that its focus is (0, −3) and directrix is ? = 3.
Part – C: 1. A team of 11 is to be chosen from 18 cricketers of whom 6 are bowlers and 3 are wicket keepers. In how many ways can team be chosen so that there are at least 4 bowlers and at least 2 wicket keepers.
2. A box contains 8 white balls and 9 red balls. Two balls are taken at random from the box. Find the probability that both of them are red if a) The two balls are taken together. b) The balls are taken one after the other without replacement. c) The balls are taken one after the other with replacement.
3. Two taps can separately fill a tank in 12min and 15min respectively. The tank when full can be emptied by a drain pipe in 20minutes. When the tank was empty all the 3 were opened simultaneously. In what time the tank be filled up.
4. A bill for Rs. 14600 drawn at 3 months after date was discounted on 11-11-2019 for Rs.14320. If the discount rate is 20% p.a. On what date was the bill drawn.
5. A man invests equal sums of money in 4%, 5% and 6% stock, each stock being at par. If the total income of the man is Rs.3600, find his total investment.
6. The price of a washing machine inclusive of sales tax is Rs.13,530. If the sales tax is 10%, find the basic price.
General Instructions: (1) The question paper has 5 parts A, B, C, D and E (2) Part A carries 20 marks; Part B carries 18 marks; Part C carries 27 marks; Part D carries 25 marks and Part E carries 10 marks (3) Write the question number properly as indicated in the question paper (4) Section A should be answered continuously at one or two pages of answer sheet and Only the first answer is considered for marks in Part A.
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