If f(x) = x + 1 then f(f(f(y + 2))) is ___________

(a)

y + 5

(b)

y + 6

(c)

y + 7

(d)

y + 9

If f is identify function, then the value of f(1) - 2f(2) + f(3) is: 

(a)

-1

(b)

-3

(c)

1

(d)

0

In the arithmetic series Sn = k + 2k + 3k +...+ 100, k is positive integer and k is a factor 100 then S_n is ____________

(a)

\(1000\frac { 10 }{ k } \)

(b)

\(5000\frac { 50 }{ k } \)

(c)

\(\frac { 1000 }{ k } +10\)

(d)

\(\frac { 5000 }{ k } +50\)

In an A.P if the p^th term is q and the q^th term is p, then its n^th term is ____________

(a)

p+q-n

(b)

p+q+n

(c)

p-q+n

(d)

p-q-n

Which of the following is correct
(i) Every polynomial has finite number of multiples
(ii) LCM of two polynomials 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

If \(\frac { p }{ q } =a\) then \(\frac { { p }^{ 2 }+{ q }^{ 2 } }{ { p }^{ 2 }-{ q }^{ 2 } } \) ___________

(a)

\(\frac { { a }^{ 2 }+1 }{ { a }^{ 2 }-1 } \)

(b)

\(\frac { 1+{ a }^{ 2 } }{ 1-{ a }^{ 2 } } \)

(c)

\(\frac { 1-{ a }^{ 2 } }{ 1-{ +a }^{ 2 } } \)

(d)

\(\frac { { a }^{ 2 }-1 }{ { a }^{ 2 }+1 } \)

The parabola y = -3x² is ___________

(a)

Open upward

(b)

Open downward

(c)

Open rightward

(d)

Open leftward

If \(A=\left[ \begin{matrix} 1 & 2 \\ 3 & 4 \\ 5 & 6 \end{matrix} \right] _{ 3\times 2 }\) \(B=\left[ \begin{matrix} 1 & 2 & 3 \\ 4 & 5 & 6 \end{matrix} \right] _{ 2\times 3 }\) then which of the following products can be made from these matrices 
(i) A²
(ii) B²
(iii) AB
(iv) BA

(a)

(i) only

(b)

(ii) and (iii) only

(c)

(iii) and (iv) only

(d)

all the above

The ratio of the areas of two similar triangles is equal to ____________

(a)

The ratio of their corresponding sides

(b)

The cube of the ratio of their corresponding sides

(c)

The ratio of their corresponding attitudes

(d)

The square of the ratio of their corresponding sides

A line which intersects a circle at two distinct points is called ____________

(a)

Point of contact

(b)

secant

(c)

diameter

(d)

tangent

Three circles are drawn with the vertices of a triangle as centres such that each circle touches the other two if the sides of the triangle are 2cm,3cm and 4 cm. find the diameter of the smallest circle.

(a)

1 cm

(b)

3 cm

(c)

5 cm

(d)

4 cm

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)

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

The angle of elevation of a cloud from a point h metres above a lake is b. The angle of depression of its reflection in the lake is 45^o. The height of location of the cloud from the lake is ___________

(a)

\(\frac { h(1+tan\beta ) }{ 1-tan\beta } \)

(b)

\(\frac { h(1-tan\beta ) }{ 1+tan\beta } \)

(c)

h tan(45^o- β)

(d)

None of these

The value of the expression [cosec (75^o + θ) - sec (15^o - θ) - tan (55^o + θ) + cot(35^o - θ] is ___________

(a)

-1

(b)

0

(c)

1

(d)

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

If sin A + sin²A = 1, then the value of the expression (cos²A + cos⁴A) is ___________

(a)

1

(b)

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

(c)

2

(d)

3

If cos θ + cos²θ = 3 then tan²θ + cot²θ is equal to ___________

(a)

4

(b)

7

(c)

6

(d)

9

A cylinder 10 cone and have there are of a equal base and have the same height. what is the ratio of there volumes?

(a)

3:1:2

(b)

3:2:1

(c)

1:2:3

(d)

1:3:2

A number x is chosen at random from -4, -3, -2, -1, 0, 1, 2, 3, 4 find the probability that |x| ≤ 4

(a)

0

(b)

1

(c)

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

(d)

\(\frac{1}{9}\)

A box contains some milk chocolates and some coco chocolates and there are 60 chocolates in the box. If the probability of taking a milk chocolate is \(\frac { 2 }{ 3 } \) then the number of coco chocolates is ___________

(a)

40

(b)

50

(c)

20

(d)

30