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    X Alg L1 (A)

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    globalknowledgecentre

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    © All Rights Reserved
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    X Alg L1 (A)

    Uploaded by

    globalknowledgecentre
    17 views2 pages

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    © All Rights Reserved
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    Download as pdf or txt
    17 views2 pages

    X Alg L1 (A)

    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 A) TIME: 2 hrs

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


    1) If Dx = 20 and D = 5, then x =
    A) 20 B) 25 C) 4 D)
    2) Which of the following is not an AP?
    A) 2, 4, 6, 8, 10… B) -17, -12, -7, -2, 3….
    C) 1.5, 4, 6.5, 9…. D) 1, 4, 9, 16, 25….
    3) A die is rolled. What is the probability that the number appearing on upper face is less than 3?
    A) B) C) D) 0

    4) If one root of the quadratic equation p2 – 3p + k = 0, then the value of k is


    A) 0 B) 10 C) -10 D) 5

    Q.1.B) Solve the following: [4]

    1) Find the value of the given determinant: | |

    2) Write the formula for finding the median of a statistical data.


    3) Write the formula for finding the measure of central angle of a sector.
    4) Solve the given quadratic equation by factorization: x2 – 15x + 54 = 0
    Q.2.A) Solve the following: (Any 2) [4]
    1) The difference between the roots of the equation x2 – 13x + k = 0 is 7 find k.
    2) Find the first term and common difference of the A.P: 0.6, 0.9, 1.2, 1.5, ..........
    3) Solve the given simultaneous equation using Cramer’s rule: 3x – 4y = 10; 4x + 3y = 5

    Q.2.B) Solve the following: (Any 4) [8]


    1) Solve using formula: x2 + 6x + 5 = 0
    2) The following table shows the number of students and the time they utilized daily for their
    studies. Find the mean time spent by students for their studies by direct method.
    Time (hrs.) 0–2 2–4 4–6 6–8 8 – 10
    No. of students 7 18 12 10 3
    3) Solve the given simultaneous equations graphically: x + y = 6, x – y = 4
    4) Determine the nature of roots of the given quadratic equation: 2y2 – 7y + 2 = 0
    5) Solve the following simultaneous equation: 99x + 101y = 499; 101x + 99y = 501

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


    2
    1) Solve the given quadratic equation by completing the square method: x + x – 20 = 0
    2) Kargil’s temperature was recorded in a week from Monday to Saturday. All readings were in
    A.P. The sum of temperatures of Monday and Saturday was 5°C more than sum of
    temperatures of Tuesday and Saturday. If temperature of Wednesday was -30°C then find the
    temperature on the other five days.

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


    1) Solve the following simultaneous equation: – = 15; + = 77

    2) A card is drawn at random from a pack of well shuffled 52 playing cards. Find the probability
    that the card drawn is – i) an ace ii) a spade
    3) The following table shows the classification of number of vehicles and their speeds on
    Mumbai-Pune express way. Find the median of the data.
    Average speed 60 – 64 65 – 69 70 – 74 75 – 79 80 – 84 85 – 89
    (km/hr.)
    No. of vehicles 10 34 55 85 10 6
    4) Mr. Kasam runs a small business of making earthen pots. He makes certain number of pots
    on daily basis. Production cost of each pot is Rs 40 more than 10 times total number of pots,
    he makes in one day. If production cost of all pots per day is Rs 600, find production cost of
    one pot and number of pots he makes per day.
    Q.4. Solve the following: (Any 2) [8]
    1) If the sum of first p terms of an A.P. is equal to the sum of first q terms then show that the sum
    of its first (p + q) terms is zero. (p q)
    2) The time required for students to do a science experiment and the number of students is
    shown in the following grouped frequency distribution table. Show the information by
    histogram and also by a frequency polygon.
    Time required 20 – 22 22 – 24 24 – 26 26 – 28 28 – 30 30 – 32
    for experiment
    (min)
    No. of students 8 16 22 18 14 12
    3) A two-digit number is to be formed from the digits 0,1,2,3,4. Repetition of the digits is allowed.
    Find the probability that the number so formed is a –
    i) prime number ii) multiple of 4 iii) multiple of 11.

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


    1) The following frequency distribution table gives the ages of 200 patients treated in a hospital
    in a week. Find the mode of ages of the patients.
    Age (years) Less than 5 5–9 10 – 14 15 – 19 20 – 24 25 – 29
    No. of patients 38 32 50 36 24 20
    2) Places A and B are 30km apart and they are on a straight road. Hamid travels from A to B on
    bike. At the same time Joseph starts from B on bike, travels towards A. They meet each other
    after 20 minutes. If Joseph would have started from B at the same time but in the opposite
    direction (instead of towards A) Hamid would have caught him after 3 hours. Find the speed
    of Hamid and Joseph.

    !!! ALL THE BEST !!!

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