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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