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    Embellish School System Mcqs Midterm Examination 2009: SECTION A (Compulsory Section)

    Uploaded by

    Hamza Hanif
    This document contains 20 multiple choice questions from a midterm exam on mathematics. It tests concepts including matrices, logarithms, means, variances, and simplifying expressions. The exam is 40 marks total and students have 2.5 hours to complete 16 questions while calculators are not allowed.

    Copyright:

    Attribution Non-Commercial (BY-NC)
    Download as PDF, TXT or read online from Scribd

    Embellish School System Mcqs Midterm Examination 2009: SECTION A (Compulsory Section)

    Uploaded by

    Hamza Hanif
    35 views5 pages
    This document contains 20 multiple choice questions from a midterm exam on mathematics. It tests concepts including matrices, logarithms, means, variances, and simplifying expressions. The exam is 40 marks total and students have 2.5 hours to complete 16 questions while calculators are not allowed.

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    Guess paper

    Original Title

    MATHS-X-nov-20091

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    This document contains 20 multiple choice questions from a midterm exam on mathematics. It tests concepts including matrices, logarithms, means, variances, and simplifying expressions. The exam is 40 marks total and students have 2.5 hours to complete 16 questions while calculators are not allowed.

    Copyright:

    Attribution Non-Commercial (BY-NC)
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    35 views5 pages

    Embellish School System Mcqs Midterm Examination 2009: SECTION A (Compulsory Section)

    Uploaded by

    Hamza Hanif
    This document contains 20 multiple choice questions from a midterm exam on mathematics. It tests concepts including matrices, logarithms, means, variances, and simplifying expressions. The exam is 40 marks total and students have 2.5 hours to complete 16 questions while calculators are not allowed.

    Copyright:

    Attribution Non-Commercial (BY-NC)
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    of 5

    EMBELLISH SCHOOL SYSTEM MCQs MIDTERM EXAMINATION 2009

    Time: 30 minutes Max. Marks: 10

    SECTION A (Compulsory Section)


    1- If 12 4 (a) 1 3 x

    is a singular matrix, then x = ____ (b) 2 (c) 4 (d) 6

    2- Cube root of -27 is = _______ (a) 3 (b) -3

    (c) 9

    (d) -9

    3- If A = {1,3,5,11}, B = { 5, 10, . . . 20} and C = { 4, 8, 12, . . . 24} then A (B C) = _____ (a) A (b) B (c) (d) U 4- A U (A B) = _____ (a) A (B U C) (b) (c) A B (d) A U B

    5- If 16 x = 4 and 5 x + y = 625, then y = (a) 2 (b) 5

    (c) 25 / 2

    (d) 7 / 2 (d) 3

    6- If log (x 1) + log (x + 3) log (x + 1) = 1, x = (a) 1 (b) 2 (c) 3

    7- The sum of five observations is 125, its mean = _________ (a) 25 (b) 50 (c) 100 (d) 625 8- The median of 2, 4, 6, 8, 10, 12 is _________ (a) 6 (b) 7 (c) 8 9(49) 1/2 x (121) 1/2 = _______ (a) 7 (b) 11

    (d) 9

    (c) 77

    (d) 111

    10- The value which most appears in data is called: (a) Mean (b) Median (c) Mode

    (d) A.M

    11- log 5 + log 8 log 6 = ________ (a) log 7 (b) log 40 / 7

    (c) log 13 / 6

    (d) log 5+ 8 6

    12- ( ( A t ) t ) t = ____, where A is a matrix of order 2x2 and t is the transpose. (a) A (b) A t (c) I (d) None 13- ________ is the multiplicative inverse of (a b). (a) (a+b) (b) (b a) (c) 1 / (a+b) (d) 1 / (b a)

    14- ____ should be added to 4 x 2 + 12 x to make it perfect square. (a) 6 (b) 9 (c) 12 (d) 15 15- The characteristic of log 1.023 is _______ (a) 0 (b) 1 (c) 2 16- A . A 1 = _____ (a) A (b) A 1

    (d) 3 (d) A t

    (c) I

    17- If a set has 3 elements then the number of possible subsets are: (a) 3 (b) 6 (c) 8 (d) 10 18- If A = {a, b, c, d}, then P(A) has _______ elements (a) 4 (b) 8 (c) 16 19- 6A = ______ (a) A (b) B (c)

    (d) 32

    (d) U

    20- Suppose

    Which of the following is false?

    (a)

    (b)

    (c)

    (d)

    EMBELLISH SCHOOL SYSTEM


    MIDTERM EXAMINATION 2009
    TOTAL MARKS:40 PAPER: MATHEMATICS calculator is not allowed.
    Q# 1 If U = {x | x N ^ x 12 }, A = {1, 3, 5, 7, .., 13} and B = { 2, 4, 6, .., 14}. Verify Demorgans Laws Q# 2 Simplify x a xb x 2a x a+
    a+b

    TIME:2.5 HRS GRADE: X

    NOTE: Answer SIXTEEN Question in all, The use of scientific

    .
    b

    x x

    b c

    b+c

    4 ( x c . x a ) ac
    b+c

    Q# 3 Simplify

    x 2b x b+c

    x 2c x c+a

    Q# 4 Find the value of a 3 + b 3 and a 2 + b 2 when a + b = 5 and ab = 6 Q# 5 Find the value of a 2 + b 2 + c 2 when a + b + c = 12 and ab + bc + ca = 50 Q# 6 If a + b = 5 prove that a 3 + b 3 + 15 a b = 125 Q# 7 If x = 7 4 3 x 1 / x and x2+1/x2

    Find x + 1 / x,

    Q# 8 Simplify with the help of logarithm. (23.60) 2 x (8.719) 3 (6.93) 1 / 2 Q# 9 Simplify with the help of logarithm. 40.02 (6.93) 1 / 2
    2/3

    Q# 10 If A =

    6 4

    2 3

    , find A 1 and verify that A . A 1 = I

    Q# 11

    Solve if possible with the help of matrices

    7 x 3 y = 3,

    2x + y = 2

    Q# 12 Find variance and standard deviation when X = 19.5, X = 195 and X 2 = 5555 Q# 13 (a) The marks obtained by 100 students in an examination are given below: Marks No. of students 5 10 12 10 - 15 9 15 20 18 2- - 25 7 25 30 4

    Find Arithmetic Mean OR Mode Q # 14- The marks obtained by 100 students in an examination are given below: Marks 30 - 35 35 40 40 45 18 45 50 23 50 55 18 55 60 11

    No. of 14 16 students Find their Arithmetic Mean

    Q # 15- The height (in inches) of 11 players of a football team is as under: 57 61 60 64 59 55 58 Find the variance of the heights of these players 63 65 61 56

    Q # 16- The following are the percentages of marks obtained by 10 students in English: X 23 15 48 41 5 8 9 11 51 35 Find the Standard Deviation Q # 17- A set of data contains the values as 148, 145, 160, 157, 156 and 160. Prove that MODE > MEDIAN > MEAN (0.96) (87.5) 2 Q # 18- Simplify 4850 Q # 19- Simplify (x5y5) (xy) 2 , find A 1 and verify that A . A 1 = I 3 with the help of logarithms

    Q # 20

    If A =

    6 4

    Q # 21- Simplify Solve if possible with the help of matrices

    3x4y=6

    2x3y= 5

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