If U = {x | x ∈ N, x < 10} and A = {x | x ∈ N, 2 ≤ x < 6} then (A′)′ is –––––––––.

(a)

{1, 6, 7, 8, 9}

(b)

{1, 2, 3, 4}

(c)

{2, 3, 4, 5}

(d)

{ }

If U = {x : x\(\in \)N and x<10}, A = {1, 2, 3, 5, 8} and B = {2, 5, 6, 7, 9}, then n[(A∪B)′] is  ________.

(a)

1

(b)

2

(c)

4

(d)

8

Which of the following is true?

(a)

\(\left( A\cup B \right) =B\cup A\)

(b)

\({ \left( A\cup B \right) }^{ ' }{ A }^{ ' }{ -B }^{ ' }\)

(c)

\({ \left( A\cap B \right) }^{ ' }={ A }^{ ' }\cap { B }^{ ' }\)

(d)

\(A-\left( B\cap C \right) =\left( A-B \right) \cap \left( A-C \right) \)

\(n(A\cup B\cup C)\)=________

(a)

n(A) + n(B) + n(C)

(b)

n(A) + n(b) + n(C) -\(n\left( A\cap B\cap C \right) \)

(c)

\(n\left( A\cap B\cap C \right) \)

(d)

n(A) + n(B) + n(C) -\(n\left( A\cap B \right) \)-\(n\left( B\cap A \right) -n\left( A\cap C \right) +n\left( A\cap B\cap C \right) \)

Which one of the following, regarding sum of two irrational numbers, is true?

(a)

always an irrational number

(b)

may be a rational or irrational number

(c)

always a rational number

(d)

always an integer.

The value of \(\bar { 0.03 } \) +\(\bar { 0.03 } \)  is ___________.

(a)

\(\bar { 0.09 } \)

(b)

\(\bar { 0.09 } \)

(c)

\(\bar { 0.09 } \)

(d)

0

\(\sqrt{27}\)+\(\sqrt{12}\) = ________.

(a)

\(\sqrt{39}\)

(b)

5\(\sqrt{6}\)

(c)

5\(\sqrt{3}\)

(d)

3\(\sqrt{5}\)

Which is the best example of a number written in scientific notation?

(a)

2.71 \(\times\) 10⁵

(b)

0.6 \(\times\) 10⁴

(c)

0.9871

(d)

125.4 \(\times\) 10⁴

GCD of any two prime numbers is _______.

(a)

-1

(b)

0

(c)

1

(d)

2

If x - 2 is a factor of q(x), then the remainder is___________

(a)

q(-2)

(b)

x - 2

(c)

0

(d)

-2

(a-b) (a²+ab+b²)=_________

(a)

a² + b³ + c³ - 3abc

(b)

a² - b²

(c)

a³ + b³

(d)

a³ - b³

Which of the following statement is true for the equation 2x + 3y = 15

(a)

the equation has unique solution

(b)

the equation has two solution

(c)

the equation has no solution

(d)

the equation has infinite solutions

In the quadrilateral ABCD, AB = BC and AD = DC Measure of ∠BCD is ________.

(a)

150°

(b)

30°

(c)

105°

(d)

72°

The point of concurrency of the medians of a triangle is known as __________

(a)

circumcentre

(b)

incentre

(c)

orthocentre

(d)

centroid

Orthocentre of a triangle is the point of concurrency of _______

(a)

medians

(b)

altitudes

(c)

angle bisectors

(d)

perpendicular bisectors of side

In the figure, ABCD is a cyclic quadrilateral in which DC produced to E and CF is drawn parallel to AB such that ㄥADC = 80° and ㄥECF = 20°, then ㄥBAD = ?

(a)

100°

(b)

20°

(c)

120°

(d)

110°

The distance between the two points ( 2, 3 ) and ( 1, 4 ) is ______.

(a)

2

(b)

\(\sqrt { 56 } \)

(c)

\(\sqrt { 10 } \)

(d)

\(\sqrt { 2 } \)

The point which is on y-axis with ordinate - 5 is _____________

(a)

(0, - 5)

(b)

(-5,0)

(c)

(5,0)

(d)

(0,5)

The diagonal of a square formed by the points (1, 0), (0, 1), (-1, 0) and (0, - 1) is_______________

(a)

2

(b)

4

(c)

\(\sqrt{2}\)

(d)

8

If \(P(\frac{a}{3},\frac{b}{2})\)is the mid-point of the line segment joining A(−4, 3) and B(−2, 4) then (a, b) is ______.

(a)

(-9, 7)

(b)

\((-3, \frac{7}{2})\)

(c)

(9, -7)

(d)

\((3, -\frac{7}{2})\)

For which set of numbers do the mean, median and mode all have the same values?

(a)

2, 2, 2, 4

(b)

1, 3, 3, 3, 5

(c)

1, 1, 2, 5, 6

(d)

1, 1, 2, 1, 5

The mean of 5, 9, x, 17, and 21 is 13, then find the value of x _______.

(a)

9

(b)

13

(c)

17

(d)

21

Let be the mid point and b be the upper limit of a class in a continuous frequency distribution. The lower limit of the class is

(a)

2m-b

(b)

2m+b

(c)

m-b

(d)

m-2b

For which set of number do the mean,median and mode all have the same valuas?

(a)

2,2,2,4

(b)

1,3,3,3,5

(c)

1,1,2,5,6

(d)

1,1,2,1,5

The value of 2tan30° tan60° is

(a)

1

(b)

2

(c)

\(2\sqrt { 3 } \)

(d)

6

The value of \(\frac { sin{ 29 }^{ 0 }31' }{ cos{ 60 }^{ 0 }29' } \) is

(a)

0

(b)

2

(c)

1

(d)

-1

The semi-perimeter of a triangle having sides 15 cm, 20 cm and 25 cm is _______.

(a)

60 cm

(b)

45 cm

(c)

30 cm

(d)

15 cm

If the ratio of the sides of two cubes are 2:3, then ratio of their surface areas will be _______.

(a)

4 : 6

(b)

4 : 9

(c)

6 : 9

(d)

16 : 36

The probability of all possible outcomes of a random experiment is always equal to _______.

(a)

One

(b)

Zero

(c)

Infinity

(d)

Less than one

The six faces of the dice are called equally likely if the dice is _______.

(a)

Small

(b)

Fair

(c)

Six-faced

(d)

Round