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    BASIC MATHEMATICS Question Paper

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    mdasiff260
    2nd pu Basic maths old question paper

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    BASIC MATHEMATICS Question Paper

    Uploaded by

    mdasiff260
    13 views3 pages
    2nd pu Basic maths old question paper

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    75. BASIC MATHEMATICS question paper

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    2nd pu Basic maths old question paper

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    13 views3 pages

    BASIC MATHEMATICS Question Paper

    Uploaded by

    mdasiff260
    2nd pu Basic maths old question paper

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    of 3

    II PUC BASIC MATHEMATICS

    (English Version)

    Instructions: 1. Write the question numbers legibly in the margin.


    2. Answer for the questions should be continuous.
    3. Only the first written answers will be considered for Part-A

    TIME DURATION: 3hr 15 min MAX.MARKS: 80

    Instructions:
    i) The question paper has 5 Parts A, B, C, D and E. Answer all the Parts.
    ii) Part - A carries 20 marks, Part - B carries 12 marks, Part - C carries 15 marks, Part - D carries 25 marks and
    Part - E carries 8 marks.
    iii) Write the question number properly as indicated in the question paper.
    PART-A

    I. Choose the correct answer (Each question carries 1 mark): 5x1=5

    1 2 4 3 −4 −1
    1. If A= ( ) 𝑎𝑛𝑑 B= ( ) then, the value of A+B is
    −1 3 −2 1 5 −2
    4 −2 −3 4 −2 3 4 2 −3 −4 −2 −3
    a) ( ) b) ( ) c) ( ) d) ( )
    0 6 −4 0 8 −4 0 8 4 0 8 −4
    2. If P(A1)=0.63 then the value of P(A) is
    a) 0.47 b) 0.47
    c) 0.73 d) 0.37
    3. The fourth proportional of 4,5,24 is
    a) 30 b) 28 c) 32 d) 26
    3
    4. If SinA=5 then the value of Cos2A is
    7 8 6 9
    a) 25 b) c) 25 d)25
    25
    x3 +4 5 2 6 9
    5. The value of lim is a) 2 b) c) d)5
    𝑥→1 1+ x 5 5
    II. Match the following
    8 2 𝑎
    6. (i) The value of | | a) 𝑏
    7 −2
    (ii) If n C8 =n C12 then the value of n b)12
    (iii)If 5:20=3:x then the value of x c)32
    Sinax
    (iv) lim ( bx ) d)-30
    𝑥→0
    (v) If S= 𝑡 3 − 6𝑡 2 + 9𝑡 + 8 then the initial velocity. e)9
    f)20
    III For question numbers 7 to 11 choose the appropriate answer from the answers given below. ( 181440 ,
    𝟏
    12, (pvr) 𝜦 ~q, (𝒔𝒊𝒏𝟔𝑨 − 𝒔𝒊𝒏𝟐𝑨), (p𝜦r)𝜦 ~q, 720) 5X1=5
    𝟐

    7. The number of arrangements that can be made with the letters of the word ‘MONDAY’ is ___________
    8. The number of of 10 different precious stones be set to form a necklace is_______________
    9. There are 4 routes to go from A to B and 3 routes to go from B to C then the number of ways to go from A
    to C via B is _______________
    10. The negation of “(pvr)→q” is_______________
    11. The sum or difference of trigonometric functions of Cos4𝐴. Sin2A is_______________

    III. Answer the following questions. (5 X 1 = 5)


    12. Find the value of tan750
    𝑥 1 0 −1 1
    13. If [𝑦] = [2 0 −1] [1] Find x, y, z.
    𝑧 0 1 −2 1
    14. Write the triplicate ratio of 3:5.
    15. 𝐹𝑖𝑛𝑑 𝑡ℎ𝑒 𝑣𝑎𝑙𝑢𝑒 𝑜𝑓 ∫ 2x(x 2 + 3)2 dX
    1 𝑒 𝑥 +1
    16. Evaluate: ∫0 dx
    𝑒𝑥
    PART-B

    IV Answer any SIX of the following questions. (6 X 2 =12)


    17. In how many ways can 6 people be chosen out of 10 people if one particular person is always included?
    18. Find the number of triangles that can be formed out of 20 points in which 8 are collinear.
    19. From a well shuffled pack of 52 cards, one card is drawn at random. Find the probability of getting either a
    king or a queen card.
    20. Three numbers are in the ratio 2:3:4. If the sum of their squares is 1856. Find the numbers.
    21. If 16 men can construct a house in 90 days then how many days will 15 men construct a similar house?
    22. BD and BG on a certain bill due after sometime are Rs.1250 and Rs. 50 respectively. Find the face value of
    the bill?
    23. Find the equation to a parabola with vertex (0,0), focus (0, -3) and directrix is y = 3.
    24. Find focus, length of latus rectum of the parabola y2 =16x
    𝜋
    25. Evaluate: ∫04 𝑠𝑒𝑐 2 3𝑥 dx
    2
    26. Evaluate: ∫1 𝑙𝑜𝑔𝑥 dX
    27. Find the area enclosed by the curve y=𝑥 2 +2x between the ordinates x=0 and x=2
    PART-C

    V Answer any FIVE of the following questions. (5 X 3 =15)

    2 −1
    28. 𝐼𝑓 𝐴 = ( ) then show that A2 − 4A+ 3I=0 where I is an identity matrix of order 2x2 & 0 is a null
    −1 2
    matrix.
    1 th
    29. The banker’s gain on a bill is of the banker’s discount, rate of interest being 10% per annum. Find the
    9
    unexpired period of the bill.
    30. Sanjana invests Rs.3240 in a stock at 108 and sells when the price falls to 104. How much stock at 130 can
    Sanjana buy now?
    31. A shopkeeper bought a machine at a discount of 30% on the listed price of Rs. 24000. The shopkeeper
    offers a discount of 10% on listed price to the customer. If 10% VAT is levied, find (i) amount paid by the
    shopkeeper (ii) VAT to be paid by the shopkeeper.
    dy
    32. If 𝑥 = 𝑎𝑡2 and 𝑦 = 2𝑎𝑡, then find 𝑑𝑥.
    33. The volume of a spherical ball is increasing at the rate of 4𝜋 𝑐𝑐/𝑠𝑒𝑐. Find the rate of increase of the radius
    of the ball when the volume is 288𝜋 𝑐𝑐.
    3
    34. Evaluate: ∫ (𝑥+1)(𝑥+2)dx
    PART-D

    V Answer any FIVE of the following questions. (5 X 5 =25)

    35. Solve the linear equations using the matrix method


    3𝑥 + 𝑦 + 2𝑧 = 3, 2𝑥 − 3𝑦 − 𝑧 = −3, 𝑥 + 2𝑦 + 𝑧 = 4
    4 21
    36. Find the coefficient of x-7 in (√x − x3 ) .
    𝑥−1
    37. Resolve (𝑥+2)2(𝑥+4) into partial fractions.
    38. Verify whether the proposition (𝑝 ∧∼ 𝑞) ∧ (∼ 𝑝 ∨ 𝑞) is a contradiction or not.
    39. An aircraft manufacturer supplies aircraft engines to different airlines. They have just completed an initial
    order for 30 engines involving a total of 6000 direct labor hours at Rs. 20 per hour. They have been asked
    to bid for a prospective contract for a supply of 90 engines. It is expected that there will be 80% learning
    effect. Estimate the labor cost for the new order.
    40. 55. Solve the LPP graphically: Maximize 𝑍 = 6𝑥 + 8𝑦
    Subject to constraints 4𝑥 + 2𝑦 ≤ 20, 2𝑥 + 5𝑦 ≤ 24 𝑥, 𝑦 ≥0
    (𝑆𝑖𝑛5𝐴+𝑆𝑖𝑛𝐴)+(𝑆𝑖𝑛4𝐴+𝑆𝑖𝑛2𝐴) =tan3A
    41. 𝑃𝑟𝑜𝑣𝑒 𝑡ℎ𝑎𝑡 (𝐶𝑜𝑠5𝐴+𝐶𝑜𝑠𝐴)+𝐶𝑜𝑠4𝐴+𝐶𝑜𝑠2𝐴)

    42. Find the equation of the circle passing through the points (1, 1), (-2,2), (-6,0)
    𝑥 2 −9
    43. Evaluate: lim [ ]
    𝑥→3 √3𝑥+7−√5𝑥+1
    PART-E

    V Answer any TWO of the following questions. (2 X 4 =8)

    44. The observer from the top of a cliff, observes the angles of depression of two boats in the same vertical
    plane are 300 and 450 . If the distance between the boats is 100 meters,
    find the height of the cliff.
    𝑚
    45. If y = (𝑥 + √𝑥 2 + 1) , show that (𝑥 2 + 1)𝑦2 + 𝑥𝑦1 − 𝑚2 𝑦 = 0.
    46. The total revenue(R) and the total cost(C) function of a company are given by
    R(Q) =300Q-Q2 and C(Q)=20 +4Q find the equilibrium output.

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