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EMBELLISH SCHOOL SYSTEM

MCQs

MIDTERM EXAMINATION 2009

Time: 30 minutes Max. Marks: 10

SECTION A (Compulsory Section)

1- If 12 34 x is a singular matrix, then x = ____

(a) 1 (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} thenA (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

6- If log (x1) + log (x + 3)log (x + 1) = 1, x =(a)1 (b)2 (c) 3 (d)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 (d) 9

9- (49) 1/2 x (121) 1/2 = _______

(a) 7 (b) 11 (c) 77 (d) 111

10- The value which most appears in data is called:

(a) Mean (b) Median (c) Mode (d) A.M

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11- log 5 + log 8log 6 = ________(a) log 7 (b) log 40 / 7 (c) log 13 / 6 (d) log 5+ 86

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 (ab).(a) (a+b) (b) (ba) (c) 1 / (a+b) (d) 1 / (ba)

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 (d) 3

16- A . A1 = _____

(a) A (b) A1 (c) I (d) A t

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 (d) 32

19- 6- A = ______(a) A (b) B (c) (d) U

20- Suppose Which of the following is false?

(a) (b) (c) (d)

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EMBELLISH SCHOOL SYSTEMMIDTERM EXAMINATION 2009

TOTAL MARKS:40 TIME:2.5 HRS

PAPER: MATHEMATICS GRADE: X

NOTE: Answer SIXTEEN Question in all, The use of scientificcalculator 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 xa a + b x

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

x

b

. x

c

Q# 3 Simplify x2 a

x2 b b + c x

2 c

x a + b . x b + c . 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 = 74 3 Find x + 1 / x, x1 / x and x 2 + 1 / x 2

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.

40.022 / 3

(6.93) 1 / 2

Q# 10 If A = 6 2 , find A 1 and verify that A . A 1 = I

4 3

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Q# 11 Solve if possible with the help of matrices 7 x3 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 510 10 - 15 1520 2- - 25 2530

No. of

students12 9 18 7 4

Find Arithmetic Mean ORMode

Q # 14- The marks obtained by 100 students in an examination are given below:

Marks 30 - 35 3540 4045 4550 5055 5560No. of

students

14 16 18 23 18 11

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 63 65 61 56

Find the variance of the heights of these players

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 thatMODE > MEDIAN > MEAN

(0.96) (87.5) 2

Q # 18- Simplify with the help of logarithms

4850

Q # 19- Simplify ( x 5y 5 ) ( xy )

Q # 20 If A = 6 2 , find A1 and verify that A . A

1 = I4 3

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

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3 x4 y =6 , 2 x3 y = 5