**Name of the Organisation **: Department of Pre University Education Karnataka (pue.kar.nic.in)

**Type of Announcement **: PU Exams Model Question Paper

**Home Page **: http://www.kar.nic.in/pue/

Related Post Found:

PUE Karnataka Last Update:

Result for PUC Examination 2014 : http://www.indianjobtalks.in/31292.html

Time Table I PUC Annual Exam 2014 : http://www.indianjobtalks.in/9694.html

Blue Print / Model Question Paper PUC : http://www.indianjobtalks.in/8173.html

BASIC MATHEMATICS

**Time **: 3 Hours 15 Minutes

**Max. Marks **: 100

**Instructions **:

i) The question paper consists of five Parts – A, B, C, D and E. Answer all the Parts.

ii) Part – A carries 10 marks, Part – B carries 20 marks, Part – C carries 40 marks, Part – D carries 20 marks and Part – E carries 10 marks.

iii) Write the question numbers properly as indicated in the question paper.

**PART – A **:

**Answer all the ten questions **: 10 × 1 = 10

1. Negate “If questions are easy then the students are happy”.

2. If n C 5 = n C 7 , find n C 11 .

4. The average height of 10 boys is 4 ft. Find the sum of their heights.

5. A bill was drawn on 05. 05. 2005 for 3 months. When will the bill fall legally due ?

6. Write the learning curve equation.

7. Find the centre of the circle x 2 + y 2 – 4x – 6y + 1 = 0.

9. Find the derivative of x e + e x w.r.t. x.

**PART – B **:

**Answer any ten questions **: 10 × 2 = 20

11. If p ? ( q V ~ r ) is false, find the truth values of p, q and r.

12. In how many ways 6 boys and 5 girls be arranged in a row so that no two boys are together ?

16. The ratio of the age of father to that of his son is 5 : 3. After 10 years, the ratio of their ages will be 3 : 2. Find their present ages.

17. If y 2 = 12 x, find the focus and length of latus rectum.

**PART – C **:

**I. Answer any three questions **: 3 × 5 = 15

23. Construct a truth table for ( ~ p V q ) ? ( p V q ).

24. a) A jar contains 2 white balls, 3 green balls and 4 red balls. A ball is drawn at random. Find

i) the probability of getting a white ball

ii) the probability that the ball drawn is not white

iii) the probability that the ball drawn is red. 3

b) There are 14 points in a plane, out of which 4 are collinear.

How many straight lines can be drawn ? 2

26. Solve the following equations by matrix method** **:

x – y + 2z = 5

2x + y + z = 7

3x – 2y + 2z = 5.

**II. Answer any two questions **: 2 × 5 = 10

27. Monthly incomes of Ram and Shyam are in the ratio 2** **: 3. Their monthly expenditure are in the ratio 3 : 5. If each saves

Rs. 1,000 per month, Find the monthly incomes of Ram and Shyam.

28. a) How much should be invested in 14·25% stock at 98 to produce the same income as would be obtained by investing Rs. 9,975 in 15% stock at 105 ? 3

b) Find the mean proportional to 8 and 18. 2

29. The first sample batch of 50 units of a product took 80 hours. The company now wishes to produce a total of 350 units. Find the total labour hours to produce 350 units and labour cost at Rs. 20 per hour. The company has 80% learning effect.

30. Solve graphically the following L.P.P.:

Maximize Z = 9x + 15y

subject to x + 2y = 2000

x + y = 1500

x, y = 0

**III. Answer any three questions **: 3 × 5 = 15

31. Find the equation of a circle passing through ( 2, 0 ), ( – 1, 3 ) and ( – 2, 0 ).

32. a) Find the equation of the parabola whose vertex is ( 4, 3 ) and focus is ( 2, 3 ). 3

b) If s = 3t 2 + 4t + 5, find (i) velocity, (ii) acceleration at t = 2 seconds. 2

33. Differentiate e 5x with respect to x by first principle.

**PART – D **:

**Answer any two questions **: 2 × 10 = 20

35. a) A committee of 8 has to be formed out of 6 men and 7 women. In how many ways can this be done if the committee contains

i) at least 3 women and at least 3 men ?

ii) exactly 2 men ? 5

36. a) The volume of a spherical ball is increasing at the rate of 4p c.c./sec. Find the rate of increase of radius and that of surface area when the radius = 6 cm. 5

37. a) Find the area between the parabola y 2 = 4x and the line y = x. 5

b) A bill for 14,600 drawn for 3 months was discounted on November 20th for Rs. 14,544. If the rate of discount is 14% p.a., on what date was the bill drawn ? 5

b) Find the vertex, focus, axis, equation of directrix and length of latus rectum of the parabola** **: ( y – 5 ) 2 = 20 ( x + 2 ). 5

**PART – E **:

**Answer any one question **: 1 × 10 = 10

39. a) A company manufactures two types of bulbs A and B by using 2 machines M 1 and M 2 . One bulb of type A requires 2 hours at machine M 1 and 1 hour at machine M 2 . One bulb of type B requires 1 hour at M 1 and 2 hours at M 2 . The profit from each bulb of type A is Rs. 3·00 and the profit from each of type B is Rs. 2·00. The number of hours available per week on machine M 1 and M 2 are 20 hours and 30 hours. Formulate the above as L.P.P. to maximize the profit ( only equations ).

b) A dealer purchased certain number of leather bags at an average cost of Rs. 190 per bag. The average cost of 10 bags was Rs. 175. That of the remaining was Rs. 200. Find the total number of bags purchased. 4

c) Find the value of ( 1·02 ) 3 using binomial theorem. 2

40. a) Prove that P ( A U B ) = P ( A ) + P ( B ) – P ( A I B ), where A and B are two mutually non-exclusive events. 4

b) What is true discount and Banker’s discount on a bill of Rs. 415 due 9 months hence at 15% p.a. ? 4

c) If M.R. = 16 – x 2 , find the total revenue and average revenue if fixed revenue = 50. 2

**Full List of Basic Mathematics Questions refer the PDF Link **: http://www.indianjobtalks.in/uploads/9423-75.pdf

I want second puc ebac question paper

Model papers of 2nd puc 2016

I want 2nd pu model question paper for pcmb

Computer science model question papers for upcoming exam

I need basic maths model question papers for 2nd puc

WHERE can I find the question paper which is newly uploaded?

I want 2nd pu chemistry chapter wise important related question & answers.

I need business studies question papers

Is the 1st pu exam based on the blow up.? Or are we expected to study the whole syllabus ?

Where will I find model q .p released by board?

Second PUC Kannada model question papers 2015?

Second PUC Karnataka model question papers 2015

I need model papers of languages especially urdu

I need model papers of 1st puc 1st language Urdu.

Please send all the model question papers of pcmb

Accountancy model question paper

Where do I find accountancy model question papers of cbse?

I want model question paper of accountancy, economics,business and computer science

I want 2nd puc 2015 model papers and I need Economics,Business Studies,Computer Science,Accountancy,English and Kannada

Who is our best master ?

1st puc chapter wise questions and answers

I want Solved papers of toppers pcmb

2nd puc model question paper for2014-15

I want pcmb question papers

I want whole puc maths modal papers for the sylbus of 2013.

I want 2nd pu biology whole chapter’s mind map

I want 2nd PUC English and Hindi model papers new 2014

How can I prepare for entrance exam?

Write a neat circuit diagram of a full wave rectifier and explain its working. Draw the input and output waveforms.

Karnataka 2nd puc 2014 biology model paper please

Biology questions with answer

I need blow up question with answer

Please give the question bank web site

i need recently released question papers (all subjects)

I want all pcmb question bank 2013-2014.

I want physics and science new model question papers. On which website should I go and what is the procedure to go?

How to describe gauss law?

When will you send the final model paper?

I want to know how to prepare for CET exam?

Where are biology model question papers?

Bio model papers

I need 2nd puc accountancy 2 marks question.

Can I get 2nd pu board question bank?

I need list of derivations for 2nd pu physics board examination as mentioned in the blow up syllabus with solution

I want chapter wise question and answers.

Model papers of physics, chemistry,biology

You can establish modern question papers

Trans 2 butane has heigher melting point than cis 2 butane. Why

As it can form intermolecular hydrogen bonding

I need solutions for the 2nd PU physics NCERT numerical problem.. How can I get it?

Buy guide from book shop

I want chemistry important questions.

Physics Chemistry Biology with solutions for 1st PU.

PLEASE SEND II PUC MODEL-III & IV QUESTION PAPER

Can I get model question paper of pcmc 1st puc of 2014 Feb 20th

Who is the father of computer?

I need new question paper booklet with answers which is released recently from pu board.

I want physics problems with answers.

I need new question paper booklet with answers which is released recently from pu board.

I want Manashatra notes please.

I want biology model question paper.

1st puc kannada Model question paper

What is meant by dipole movement?

I am not getting model question paper for blow up syllabus. I am in need of that please help me in getting that.

I need the numerical problems blue print of 1st PUC 2014 physics based on blow up syllabus.

I want physics model question paper.

Model papers of PCMB 1st PUC?

Physics question paper for 2013-2014?

I want the model question paper for chemistry for 1st puc.

Can I get the model question paper for chemistry for 1st PUC?

visit karnatakapue.in

Can I get the model question paper for maths for 1st PUC?

I need model question paper of blow up syllabus.

Please reply me.

I want model question paper of Physics,Chemistry and Maths.

i need model question paper of blow up syllabus.

Please send blown up syllabus of I puc.

CHECK OUT IN GOOD SITE

Where is model paper 2 for PCMB?

PUC-1st model question paper for science.

Physics question papers?

Physics question papers for II PU exams is available for the year March/April 2007,March 2008, JUNE – 2008 and for 2009,2010,2011 in the above link.

yes

Can I get I PUC Statistics model question paper?

Can I get 2nd PUC model question paper with practical questions and CET questions with solutions?

Only questions are available in the website. You have to get the solutions of your own.

What about language and Hindi question papers?

Please click the above link to get more question papers for English and Hindi.

First PUC question papers?

Only the syllabus for first PUC 2013/14 is available in the website.

What is essay?

Biology question paper.

Biology question papers are available in above link under Previous Year II PU Exams Question Papers. Please have a look on it.