If the order pairs (a, -1) and (5, b) blongs to {(x, y) | y = 2x + 3}, then a and b are __________

(a)

-13, 2

(b)

2, 13

(c)

2, -13

(d)

-2,13

If f is constant function of value \(\frac { 1 }{ 10 } \), the value of f(1) + f(2) + ... + f(100) is _________

(a)

\(\frac { 1 }{ 100 } \)

(b)

100

(c)

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

(d)

10

If m and n are the two positive integers then m² and n² are ____________

(a)

Co-prime

(b)

Not co-prime

(c)

Even

(d)

odd

The first term of an A.P. whose 8^th and 12^th terms are 39 and 59 respectively is ____________

(a)

5

(b)

6

(c)

4

(d)

3

If p, q, r, x, y, z are in A.P, then 5p + 3, 5r + 3, 5x + 3, 5y + 3, 5z + 3 form ____________

(a)

a G.P

(b)

an A.P

(c)

a constant sequence

(d)

neither an A.P nor a G.P

Which of the following is correct
(i) Every polynomial has finite number of multiples
(ii) LCM of two polynimials of degree 2 may be a constant
(iii) HCF of 2 polynomials may be constant
(iv) Degree of HCF of two polynomials is always less then degree of LCM

(a)

(i) and (ii)

(b)

(iii) and (iv)

(c)

(iii) only

(d)

(iv) only

The square root of 4m² - 24m + 36 is ___________

(a)

4(m-3)

(b)

2(m-3)

(c)

(2m-3)²

(d)

(m-3)

If \(\\ \\ \\ \\ \\ \\ \\ \left[ \begin{matrix} 4 & 3 & 2 \end{matrix} \right] \left[ \begin{matrix} 1 \\ -2 \\ x \end{matrix} \right] =\left[ 6 \right] \),then x is ___________

(a)

4

(b)

3

(c)

2

(d)

1

The height of an equilateral triangle of side a is

(a)

\(\frac { a }{ 2 } cm\)

(b)

\(\sqrt { 3a } \)

(c)

\(\frac { \sqrt { 3 } }{ 2 } a\)

(d)

\(\frac { \sqrt { 3 } }{ 4 } a\)

If the mid-point of the line segment joining \(A\left( \frac { x }{ 2 } ,\frac { y+1 }{ 2 } \right) \) and B(x + 1, y-3) is C(5, -2) then find the values of x, y ____________

(a)

(6, -1)

(b)

(-6, 1)

(c)

(-2, 1)

(d)

(3, 5)

Find the value of 'a' if the lines 7y = ax + 4 and 2y = 3 - x are parallel

(a)

\(\frac { 7 }{ 2 } \)

(b)

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

(c)

\(\frac { 2 }{ 7 } \)

(d)

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

Given that sinθ = \(\frac{a}{b}\), then cosθ is equal to ___________

(a)

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

(b)

\(\frac { b }{ a } \)

(c)

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

(d)

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

A pole 6 m high a shadow 2\(\sqrt{3}\) m long on the ground, then the sun's elevation is ___________

(a)

60^o

(b)

45^o

(c)

30^o

(d)

90^o

(sec A + tan A)(1 - sin A) is equal to ___________

(a)

sec A

(b)

sin A

(c)

cosec A

(d)

cos A

A ladder of length 14m just reaches the top of a wall. If the ladder makes an angle of 60^o with the horizontal, then the height of the wall is ____________

(a)

\(14\sqrt { 3 } \)

(b)

\(28\sqrt { 3 } \)

(c)

\(7\sqrt { 3 } \)

(d)

\(35\sqrt { 3 } \)

It S₁ denotes the total surface area of a sphere of radius r and S₂ denotes the total surface area of a cylinder of base radius r and height 2r, then ___________

(a)

S₁ = S₂

(b)

S₁ > S₂

(c)

S₁ < S₂

(d)

S₁ = 2S₂

When Karuna divided surface area of a sphere by the sphere's volume, he got the answer as \(\frac { 1 }{ 3 } \). What is the radius of the sphere?

(a)

24 cm

(b)

9cm

(c)

54cm

(d)

4.5cm

A purse contains 10 notes of Rs. 2000, 15 notes of Rs. 500, and 25 notes of Rs. 200.One note is drawn at random. What is the probability that the note is either a Rs. 500, note or Rs. 200 note?

(a)

\(\frac { 1 }{ 5 } \)

(b)

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

(c)

\(\frac { 2 }{ 3 } \)

(d)

\(\frac { 4 }{ 5 } \)

which of the following is true?

(a)

0 ≤ p(∈) ≤ 1

(b)

p(∈) > 1

(c)

p(∈) < 0

(d)

\(-\frac { 1 }{ 2 } \ge P(\in )\le \frac { 1 }{ 2 } \)

If the probability of non-happening of an event is, then probability of happening of the event is ___________

(a)

1-q

(b)

q

(c)

\(\frac { q }{ 2 } \)

(d)

2q