Which of the following is correct?

(a)

∅ ⊆ {a, b}

(b)

∅ ∈ {a, b}

(c)

{a} ∈ {a, b}

(d)

a ⊆ {a, b}

For any three A, B and C, \(A-\left( B\cup C \right) \) ________

(a)

(A-B)\(\cup \)(A-C)

(b)

(A-B)\(\cap \)(A\(\cup \)C)

(c)

(A-B)\(\cup \)C

(d)

A\(\cup \)(B-C)

Which one of the following has a terminating decimal expansion?

(a)

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

(b)

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

(c)

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

(d)

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

Which of the following are not rational numbers?

(a)

\(7\sqrt { 5 } \)

(b)

\(\frac { 7 }{ \sqrt { 5 } } \)

(c)

\(\sqrt { 36 } -9\)

(d)

\(\pi +2\)

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

(a)

0.5 \(\times\) 10⁵

(b)

0.1254

(c)

5.367 \(\times\) 10^-6

(d)

12.5 \(\times\) 10²

The product of the polynomials p(x) = 4x –3 q(x) = 4x + 3 ____________

(a)

1 – x – 8

(b)

16x² – 9

(c)

18x³ + 12x² – 12x – 8

(d)

18x³ – 12x² + 12x + 8

if a polynominal p(x) is divided by (ax+b), then the reminder is _______________________

(a)

\(p\left( \frac { b }{ a } \right) \)

(b)

\(p\left( -\frac { b }{ a } \right) \)

(c)

\(p\left( \frac { a }{ b } \right) \)

(d)

\(p\left( -\frac { a }{ b } \right) \)

Find the value of m from the equation 2x + 3y = m. If its one solution is x = 2 and y = −2 .

(a)

2

(b)

-2

(c)

10

(d)

0

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)

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

Diagonal of which of the following quadrilaterals do not bisect it into two congruent triangles?

(a)

rhombus

(b)

trapezium

(c)

square

(d)

rectangle

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 algebraic sum of the deviations of a set of n values from their mean is _______.

(a)

0

(b)

n-1

(c)

n

(d)

n+1

The value of 3 sin 70⁰sec 20⁰ + 2 sin 49⁰sec 51⁰ is ________.

(a)

2

(b)

3

(c)

5

(d)

6

The total surface area of a cuboid is ______________

(a)

4a² sq. units

(b)

6a² sq. units

(c)

2(l + b)h sq. units

(d)

2(lb + bh + lh) sq. units

Which of the following cannot be taken as probability of an event?

(a)

0

(b)

0.5

(c)

1

(d)

-1