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    X Alg L1 (B)

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    globalknowledgecentre

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    © All Rights Reserved
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    X Alg L1 (B)

    Uploaded by

    globalknowledgecentre
    12 views2 pages

    Copyright

    © © All Rights Reserved

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    12 views2 pages

    X Alg L1 (B)

    Uploaded by

    globalknowledgecentre

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    of 2

    GLOBAL KNOWLEDGE CENTRE®

    92213 73 96 8 / 98198 60 60 4
    STD: X Level - I MARKS: 40
    SUB: ALGEBRA (Set B) TIME: 2 hrs

    Q.1.A) Choose the correct alternatives: [4]


    1) The roots of the quadratic equation x2 + 5x + 6 = 0 are
    A) 2, 3 B) -2, 3 C) 2, -3 D) -2, -3
    1
    2) If n(A) = 2, P(A) = , then n(S) = ?
    5
    3 4 1
    A) 10 B) C) D)
    5 5 3
    3) If the sum of two numbers is 35 and their difference is 13, then the numbers are
    A) 23 and 12 B) 24 and 11 C) 25 and 12 D) 21 and 14
    4) If a = - 9, d = - 7, then t19 =
    A) 117 B) 135 C) -117 D) -135
    Q.1.B) Solve the following: [4]
    1) Write the formula for finding the mode of a statistical data.
    2) Solve the given quadratic equation by factorization: x2 + x – 10 = 0
    3) Write the formula for finding the mean by step deviation method.
    4) Complete the following table for equation 2x – 6y = 3
    x -5
    y 0
    (x, y)
    Q.2.A) Solve the following: (Any 2) [4]
    1) Write an A.P. whose first term is a and common difference is d: a = -1.25, d = 3
    2) Solve the given simultaneous equation using Cramer’s rule: 6x – 4y = -12; 8x – 3y = -2
    3) If α and β are the roots of the quadratic equation 2x2 + 6x – 5 = 0, then find (𝛼 + 𝛽) and 𝛼 × 𝛽
    Q.2.B) Solve the following: (Any 4) [8]
    1) Solve the following simultaneous equations: x + 7y = 10; 3x – 2y = 7
    2) 𝛼, 𝛽 are roots of y2 – 2y – 7 = 0 find: 𝛼 2 + 𝛽 2
    3) Solve using formula: 3m2 + 2m – 7 = 0
    4) In the following table, the toll paid by drivers and number of vehicles is shown. Find the mean
    of the toll by ‘assumed mean’ method.
    Toll (Rs.) 300 – 400 400 – 500 500 – 600 600 – 700 700 – 800
    No. of vehicles 80 110 120 70 40
    5) Solve the simultaneous equation graphically: x + y = 5; x – y = 3
    Q.3.A) Solve the following: (Any 1) [3]
    1) In an A.P. 19th term is 52 and 38th term is 128, find the sum of first 56 terms.
    2) Solve the given quadratic equation by completing square method: 5x2 = 4x + 7

    Q.3.B) Solve the following: (Any 2) [6]


    1) There are 15 tickets in a box, each bearing one of the numbers from 1 to 15. One ticket is
    drawn at random from the box. Find the probability of event that the ticket drawn -
    i) shows an even number ii) shows a number which is a multiple of 5.
    2) Pintu takes 6 days more than those of Nishu to complete certain work. If they work together
    they finish it in 4 days. How many days would it take to complete the work if they work alone.
    3) The following table shows the information regarding the milk collected from formers on a milk
    collection center and the content of fat in the milk, measured by a lactometer. Find the mode
    of fat content.
    Content of fat (%) Milk collected (ltrs)
    2–3 30
    3–4 70
    4–5 80
    5–6 60
    6–7 20
    27 31 31 27
    4) Solve: + = 85; + = 89
    𝑥−2 𝑦+3 𝑥−2 𝑦+3
    Q.4. Solve the following: (Any 2) [8]
    1) A bag contains 3 red, 3 white and 3 green balls. One ball is taken out of the bag at a random.
    What is the probability that the ball drawn is –
    i) red ii) not red iii) either red or white
    2) On an environment day, students in a school planted 120 trees under plantation project. The
    information regarding the project is shown in the following table. Show it by a pie diagram.
    Tree name Karanj Behada Arjun Bakul Kadunimb
    No. of trees 20 28 24 22 26
    3) If first term of an A.P. is a, second term is b, and last term is c, then show that sum of all
    (𝑎+𝑐)(𝑏+𝑐−2𝑎)
    terms is
    2(𝑏−𝑎)

    Q.5. Solve the following: (Any 1) [3]


    1) A two digit number and the number with digits interchanged add up to 143. In the given
    number the digit in unit’s place is 3 more than the digit in the ten’s place. Find the original
    number.
    2) The production of electric bulbs in different factories is shown in the following table. Find the
    median of the productions
    No. of bulbs produced (thousands) No. of factories
    30 – 40 12
    40 – 50 35
    50 – 60 20
    60 – 70 15
    70 – 80 8
    80 – 90 7
    90 – 100 8

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