If A = {x, y, z} then the number of non - empty subsets of A is ________.

(a)

8

(b)

5

(c)

6

(d)

7

If A∪B = A∩B, then ________.

(a)

A ≠ B

(b)

A = B

(c)

A ⊂ B

(d)

B ⊂ A

The shaded region in the adjacent diagram represents ______________

(a)

(A∪B)′

(b)

(A∩B)′

(c)

A′∩B′

(d)

A∩B

A = {set of odd natural numbers}, B = {set of even natural numbers}, then A and B are ___________

(a)

equal set

(b)

equivalent sets

(c)

overlapping sets

(d)

disjoint sets

Sets having the same number of elements are called ___________

(a)

overlapping sets

(b)

disjoints sets

(c)

equivalent sets

(d)

equal sets

The set (A - B) U(B - A) is ___________

(a)

AΔB

(b)

AUB

(c)

A∩B

(d)

A'UB'

If n is a natural number then \(\sqrt { n } \) is ________.

(a)

always a natural number

(b)

always an irrational number

(c)

always a rational number

(d)

may be rational or irrational

Which one of the following has a terminating decimal expansion?

(a)

\(\frac { 5 }{ 64 } \)

(b)

\(\frac { 8 }{ 9 } \)

(c)

\(\frac { 14 }{ 15 } \)

(d)

\(\frac { 1 }{ 12 } \)

The smallest rational number by which \(\frac { 1 }{ 3 } \)  should be multiplied so that its decimal expansion terminates after one place of decimal is   ________.

(a)

\(\frac { 1 }{ 10 } \)

(b)

\(\frac { 3 }{ 10 } \)

(c)

3

(d)

30

if \(\frac { 1 }{ 7 } \) = \(0.\overline { 142857 } \) then the value of \(\frac { 5 }{ 7 } \) ________.

(a)

\(0.\overline { 142857 } \)

(b)

\(0.\overline { 714285 } \)

(c)

\(0.\overline { 571428 } \)

(d)

0.714285

Find the odd one out of the following.

(a)

\(\sqrt { 32 } \times \sqrt { 2 } \)

(b)

\(\frac { \sqrt { 27 } }{ \sqrt { 3 } } \)

(c)

\(\sqrt { 72 } \times \sqrt { 8 } \)

(d)

\(\frac { \sqrt { 54 } }{ \sqrt { 18 } } \)

Which one of the following has terminating decimal expansion?

(a)

\(\frac { 7 }{ 9 } \)

(b)

\(\frac { 8 }{ 15 } \)

(c)

\(\frac { 1 }{ 2 } \)

(d)

\(\frac { 5 }{ 32 } \)

Irrational number has a________________ .

(a)

terminating decimal

(b)

no decimal part

(c)

non-terminating and recurring decimal

(d)

non-terminating and non-recurring decimal

If \(\frac { 1 }{ 7 } \)= 0.142857, then the value of is______________.

(a)

0.285741

(b)

0.428571

(c)

0.285714

(d)

0.574128

If x³ + 6x² + kx + 6 is exactly divisible by (x + 2), then k= ?

(a)

-6

(b)

-7

(c)

-8

(d)

11

The type of the polynomial 4–3x³ is  ________.

(a)

constant polynomial

(b)

linear polynomial

(c)

quadratic polynomial

(d)

cubic polynomial.

The sum of the polynomials p(x) = x³ – x² – 2, q(x) = x²–3x+ 1 _______.

(a)

x³ – 3x – 1

(b)

x³ + 2x² – 1

(c)

x³ – 2x² – 3x

(d)

x³ – 2x² + 3x –1

The Auto fare is found as minimum Rs. 25 for 3 kilometer and thereafter Rs. 12 for per kilometer. Which of the following equations represents the relationship between the total cost ‘c’ in rupees and the number of kilometers n?

(a)

c = 25 + n

(b)

c = 25 + 12n

(c)

c = 25 + (n–3)12

(d)

c = (n–3)12

The sum of \({ 5x }^{ 2 };-7x^{ 2 };8x^{ 2 };11x^{ 2 }\ and\ -9x^{ 2 }\) is ___________ 

(a)

\(2{ x }^{ 2 }\)

(b)

\(4{ x }^{ 2 }\)

(c)

\(6{ x }^{ 2 }\)

(d)

\(8{ x }^{ 2 }\)

The coefficient of \({ x }^{ 2 }\ and\ x\ in\ 2{ x }^{ 3 }-5{ x }^{ 2 }+6x-3\) are respectively ____________

(a)

2, -5

(b)

2, 6

(c)

-5, 6

(d)

-5, -3

The degree of the polynomial \( \sqrt { 2 } { x }^{ 2 }-\frac { 7 }{ 2 } { x }^{ 4 }+x-5x^{ 3 }\) is _______________ 

(a)

2

(b)

3

(c)

4

(d)

5

ABCD is a square, diagonals AC and BD meet at O. The number of pairs of congruent triangles with vertex O are ________.

(a)

6

(b)

8

(c)

4

(d)

12

The correct statement out of the following is ________.

(a)

ΔABC ≅ ΔDEF

(b)

ΔABC ≅ ΔDEF

(c)

ΔABC ≅ ΔFDE

(d)

ΔABC ≅ ΔFED

If the diagonal of a rhombus are equal, then the rhombus is a ________.

(a)

Parallelogram but not a rectangle

(b)

Rectangle but not a square

(c)

Square

(d)

Parallelogram but not a square

If bisectors of ∠A and ∠B of a quadrilateral ABCD meet at O, then ∠AOB is ________.

(a)

∠C + ∠D

(b)

\(\frac { 1 }{ 2 } (\angle C+\angle D)\)

(c)

\(\frac { 1 }{ 2 } \angle C+\frac { 1 }{ 3 } \angle D\)

(d)

\(\frac { 1 }{ 3 } \angle C+\frac { 1 }{ 2 } \angle D\).

Which of the following statement is correct?

(a)

Opposite angles of a parallelogram are not equal.

(b)

Adjacent angles of a parallelogram are complementary.

(c)

Diagonals of a parallelogram are always equal.

(d)

Both pairs of opposite sides of a parallelogram are always equal.

What is the name of a regular polygon of six sides?

(a)

Square

(b)

Equilateral triangle

(c)

Regular hexagon

(d)

Regular octagon

One angle of a parallelogram is a right angle. The name of the quadrilateral is ______

(a)

square

(b)

rectangle

(c)

rhombus

(d)

kite

If all the four sides of a parallelogram are equal and the adjacent angles are of 120° and 60°, then the name of the quadrilateral is ______

(a)

rectangle

(b)

square

(c)

rhombus

(d)

kite

Which of the following is a formula to find the sum of interior angles of a quadrilateral of n-sides?

(a)

\(\frac { n }{ 2 } \) \(\times\) 180

(b)

\(\left( \frac { n+1 }{ 2 } \right) \)180⁰

(c)

\(\left( \frac { n-1 }{ 2 } \right) \)180^o

(d)

(n-2)180^o

The point M lies in the IV quadrant. The coordinates of M is _______

(a)

(a,b)

(b)

(–a, b)

(c)

(a, –b)

(d)

(–a, –b)

The point whose ordinate is 4 and which lies on the y-axis is ______.

(a)

( 4, 0 )

(b)

(0, 4)

(c)

(1, 4)

(d)

(4, 2)

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 whose abscissa is 5 and lies on the x-axis is__________

(a)

(-5, 0)

(b)

(5,5)

(c)

(0,5)

(d)

(5,0)

The distance between the points (a, 0) and (0, b) is____________

(a)

a unit

 

(b)

b unit

(c)

\(\sqrt{a^2+{b^2}}\ unit\)

(d)

\(\sqrt{a^2-{b^2}}\ unit\)

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

Consider the following sets A = {0, 3, 5, 8}, B = {2, 4, 6, 10} and C = {12, 14,18, 20}.
18 _______ B.

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\(\notin \)

Consider the following sets A = {0, 3, 5, 8}, B = {2, 4, 6, 10} and C = {12, 14,18, 20}.
4 _____ B.

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\(\in \)

If A ⊆ B, then A - B is __________

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Ø

If n(A) = 50, n(B) = 35, n(A ⋂ B) = 5, then n(A U B) is equal to __________

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80

If A and B are two finite sets such that n(A - B) = 30, n(A UB) = 180, then n(B) is ___________

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150

The value of \(3\sqrt { 3 } +\sqrt { 3 } \) is ______________.

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\(4\sqrt { 3 } \)

If \(\sqrt { 10 } \)= 3.1622, then the value of is \(\frac { 1 }{ \sqrt { 10 } } \) is_________.

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0.31623

The diagonals of a rhombus bisect each other at ________

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right angles

All angles of a rectangle are equal and are _______

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right angles

All sides of a ______ are equal and all angles are right angles.

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square

A square has sides of equal length and angles of equal measures, so it is not a ______ polygon.

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regular

The abscissa of the origin is ____________

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0

The ordinate of every point on the x-axis is________________

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0

The abscissa of every point on y-axis is______________

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0