Karnataka II PUC Basic Mathematics Model Question Paper 2021-22
Name of the Organisation : Department of Post University Education, Karnataka
Exam : II PUC Basic Mathematics Exam
Subject : Basic Mathematics
Document Type : Model Question Paper
Website : https://pue.karnataka.gov.in
Karnataka II PUC Basic Mathematics Model Question Paper
Department of Post University Education, Karnataka Basic Mathematics Model Question Paper II PUC for the year 2021-22.
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Karnataka II PUC Basic Mathematics Questions
PART – A
I. Answer any TEN questions
3 4 find 3A.
2. Find the value of 400 404 408 412 .
3. In how many ways can 10 people be seated around a table ?
4. A bag contains 8 red and 4 green marbles. Find the probability that a marble selected at random is red.
5. Write “Mathematics is easy and today is a holiday” in symbolic form.
6. Find the triplicate ratio of 3: 5.
7. How much stock can be bought for Rs. 3375 at Rs. 75?
8. Write the learning curve equation.
9. If tan A = 1, find tan 2A
10. If the length of Latus Rectum of parabola y2 = 8Kx is 4, find k.
PART – B
II. Answer any TEN questions
17. Prove that “If in any determinant any two rows or columns are identical , then the value of determinant is 0”.
18. In how many ways can 7 students and 4 teachers be seated in a row where no two teachers sit together ?
20. If the truth value of p → (q v r) is false, then find the truth value of p, q and r.
21. What must be added to each term of the ratio 4:5, so that it becomes 7:8 ?
22. If a : b = 2:3 and b : c = 6:13 , find a : b : c
23. True discount on a bill was Rs. 100 and Bankers Gain was Rs. 10. Find the face value of the bill.
24. How much income can be obtained from an investment of rupees 10,725 in 6.5% stock at 143? Also find the amount of stock that can be purchased.
25. Reena paid Rs. 60 as sales tax on a watch worth Rs. 1200. Find the rate of sales tax.
26. Find the angle of elevation of the sun when the length of the shadow of a pole is 13 times the height of the pole.
28. Find the equation of the parabola whose focus is (1, 0) and directrix is x = –1.
31. If s = 5t2 + 4t – 8 , find the initial velocity and acceleration.
32. Find the average cost and marginal cost for an output of 10 units if the total cost function of a firm is given by C = 5×2 + 2x + 3 where x is output in units.
33. Evaluate log x dx∫
PART – C
III. Answer any TEN questions
35. Solve by Cramer’s rule 2x + y = 1, x – 3y = 4.
36. A team of eight players has to be selected from 14 players . In how many ways can this be done if
(a) two particular players are always included
(ii) two particular players are always excluded ?
37. One card is drawn at random from a pack of 52 cards. Find the probability that the card is
(i) a face card
(ii) either king or queen
(iii) not an ace card ?
