If {(a, 8 ),(6, b)}represents an identity function, then the value of a and b are respectively

(a)

(8,6)

(b)

(8,8)

(c)

(6,8)

(d)

(6,6)

Let f(x) = \(\sqrt { 1+x^{ 2 } } \) then

(a)

f(xy) = f(x).f(y)

(b)

f(xy) ≥ f(x).f(y)

(c)

f(xy) ≤ f(x).f(y)

(d)

None of these

The function t which maps temperature in degree Celsius into temperature in degree Fahrenheit is defined Fahrenheit degree is 95, then the value of  C \(t(C)=\frac { 9c }{ 5 } +32\) is ___________

(a)

37

(b)

39

(c)

35

(d)

36

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 the HCF of 65 and 117 is expressible in the form of 65m - 117 , then the value of m is

(a)

4

(b)

2

(c)

1

(d)

3

The next term of the sequence \(\frac { 3 }{ 16 } ,\frac { 1 }{ 8 } ,\frac { 1 }{ 12 } ,\frac { 1 }{ 18 } \), ..... is

(a)

\(\frac { 1 }{ 24 } \)

(b)

\(\frac { 1 }{ 27 } \)

(c)

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

(d)

\(\frac { 1 }{ 81 } \)

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)

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

Sum of infinite terms of G.P is 12 and the first term is 8. What is the fourth term of the G.P?

(a)

\(\frac { 8 }{ 27 } \)

(b)

\(\frac { 4 }{ 27 } \)

(c)

\(\frac { 8 }{ 20 } \)

(d)

\(\frac { 1 }{ 3 } \)

The square root of \(\frac { 256{ x }^{ 8 }{ y }^{ 4 }{ z }^{ 10 } }{ 25{ x }^{ 6 }{ y }^{ 6 }{ z }^{ 6 } } \) is equal to

(a)

\(\frac { 16 }{ 5 } \left| \frac { { x }^{ 2 }{ z }^{ 4 } }{ { y }^{ 2 } } \right| \)

(b)

\(16\left| \frac { { y }^{ 2 } }{ { x }^{ 2 }{ z }^{ 4 } } \right| \)

(c)

\(\frac { 16 }{ 5 } \left| \frac { y }{ x{ z }^{ 2 } } \right| \)

(d)

\(\frac { 16 }{ 5 } \left| \frac { x{ z }^{ 2 } }{ y } \right| \)

Graph of a linear equation is a ____________

(a)

straight line

(b)

circle

(c)

parabola

(d)

hyperbola

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)

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

If \(A=\left[ \begin{matrix} y & 0 \\ 3 & 4 \end{matrix} \right] \) and \(I=\left[ \begin{matrix} 1 & 0 \\ 0 & 1 \end{matrix} \right] \) then A² = 16 for ___________

(a)

y = 4

(b)

y = 5

(c)

y = -4

(d)

y = 16

In ∆LMN, \(\angle\)L = 60^o, \(\angle\)M = 50^o. If ∆LMN ~ ∆PQR then the value of \(\angle\)R is

(a)

40^o

(b)

70°

(c)

30°

(d)

110°

If \(\triangle\)ABC is an isosceles triangle with \(\angle\)C = 90^o and AC = 5 cm, then AB is

(a)

2.5 cm

(b)

5 cm

(c)

10 cm

(d)

\(5\sqrt { 2 } \)cm

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

(a)

Point of contact

(b)

secant

(c)

diameter

(d)

tangent

In the given figure if OC = 9 cm and OB = 15 cm then OB + BD is equal to ____________

(a)

23 cm

(b)

24 cm

(c)

27 cm

(d)

30 cm

The slope of the line which is perpendicular to a line joining the points (0, 0) and (– 8, 8) is

(a)

–1

(b)

1

(c)

\(\frac13\)

(d)

-8

Consider four straight lines
(i) l₁ : 3y = 4x + 5
(ii) l₂ : 4y = 3x - 1
(iii) l₃ : 4y + 3x =7
(iv) l₄ : 4x + 3y = 2
Which of the following statement is true?

(a)

l₁ and l₂ are perpendicular

(b)

l₁ and l₄ are parallel

(c)

l₂ and l₄ are perpendicular

(d)

l₂ and l₃ are parallel

Find the equation of the line passing through the point (0, 4) and is parallel to 3x+5y+15 = 0 the line is ___________

(a)

3x+5y+15 = 0

(b)

3x+5y-20 = 0

(c)

2x+7y-20 = 0

(d)

4x+3y-15 = 0

The y-intercept of the line 3x - 4y + 8 = 0 is ___________

(a)

\(-\frac { 8 }{ 3 } \)

(b)

\(\frac { 8 }{ 3 } \)

(c)

2

(d)

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

The value of \(si{ n }^{ 2 }\theta +\frac { 1 }{ 1+ta{ n }^{ 2 }\theta } \) is equal to

(a)

 \(ta{ n }^{ 2 }\theta \)

(b)

1

(c)

\(cot^{ 2 }\theta \)

(d)

0

If the ratio of the height of a tower and the length of its shadow is \(\sqrt{3}: 1\), then the angle of elevation of the sun has measure

(a)

45°

(b)

30°

(c)

90°

(d)

60°

If cos A = \(\frac{4}{5}\), then the value of tan A is ___________

(a)

\(\frac{3}{5}\)

(b)

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

(c)

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

(d)

\(\frac{5}{3}\)

The blanks of river are parallel. A swimmer starts from a point on one of the banks and swims in a straight line to the bank at 45^o and reaches the opposite bank at a point 20 m, from the point opposite to the straight point. The breadth of the river is equal to ____________

(a)

12.12m

(b)

14.14m

(c)

1016.16m

(d)

18.18m

If the radius of the base of a cone is tripled and the height is doubled then the volume is

(a)

made 6 times

(b)

made 18 times

(c)

made 12 times

(d)

unchanged

A frustum of a right circular cone is of height 16 cm with radii of its ends as 8 cm and 20 cm. Then, the volume of the frustum is

(a)

3328\(\pi\) cm³

(b)

3228\(\pi\) cm³

(c)

3240\(\pi\) cm³

(d)

3340\(\pi\) cm³

The radius of base of a cone 5 cm and height is 12 cm. The slant height of the cone ___________

(a)

13 cm

(b)

17 cm

(c)

7 cm

(d)

60 cm

A spherical steel ball is melted to make 8 new identical balls. Then the radius each new ball is how much times the radius of the original ball?

(a)

\(\frac { 1 }{ 3 } \)

(b)

\(\frac { 1 }{ 4 } \)

(c)

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

(d)

\(\frac { 1 }{ 8 } \)

The standard deviation of a data is 3. If each value is multiplied by 5 then the new variance is

(a)

3

(b)

15

(c)

5

(d)

225

Kamalam went to play a lucky draw contest. 135 tickets of the lucky draw were sold. If the probability of Kamalam winning is \(\frac{1}{9}\), then the number of tickets bought by Kamalam is

(a)

5

(b)

10

(c)

15

(d)

20

In a competition containing two events A and B, the probability of winning the events A and B are \(\frac { 1 }{ 3 } \) and \(\frac { 1 }{ 4 } \) respectively and the probability if winning both events is ___________

(a)

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

(b)

\(\frac { 5 }{ 12 } \)

(c)

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

(d)

\(\frac { 7 }{ 12 } \)

In one thousand lottery tickets, there are 50 prizes to be given. The probability of happenning of the event is ___________

(a)

1-q

(b)

q

(c)

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

(d)

2q