$\sqrt { 11 } + \sqrt { 5 }$ is __________ number

A.	a natural
B.	a rational
C.	a whole
D.	an irrational

Find the zeros of the polynomial f(x) = x³ - 15x² + 74x - 120, if it is given that the zeros are in arithmetic progression.

A.	5, 6 and 7
B.	6, 7 and 8
C.	3, 4 and 5
D.	4, 5 and 6

The students of a school are made to stand in rows. If the number of students in each row is increased by $4$, there would be $2$ rows less. If the number of students in each row is reduced by $4$, there would be $3$ rows more. Find the number of students in the school.

A.	$250$
B.	$240$
C.	$255$
D.	$260$

Equation 2x² - √8x - 1 = 0 has

A.	two distinct real roots
B.	more than two roots
C.	two equal real roots
D.	no real roots

The 9^th term from the end of the arithmetic progression 10, 30, 50,...,810 is ___.

A.	630
B.	610
C.	650
D.	690

In the given figure, $\Delta OQP \sim \Delta OAB$,$\angle OPQ = 58^\circ$, and $\angle BOQ = 116^\circ$. Find $\angle OAB$.

A.	$116^\circ$
B.	$121^\circ$
C.	$58^\circ$
D.	$\text{None of these }$

Point $P$ divides the line segment joining the points $A(12, 8)$ and $B(16, 4)$ such that $AP = \dfrac{ 1 }{ 4 } AB$. If $P$ lies on the line $2x - y + k = 0$, find the value of $k$.

A.	$-22$
B.	$-19$
C.	$-18$
D.	None of these

$\dfrac{ \cos^2 60 ^\circ + \cos^2 30 ^\circ } { \sin^2 60 ^\circ + \sin^2 30 ^\circ } + \dfrac{ \sin (90 ^\circ - \theta ) \sin \theta } { \tan \theta } + \dfrac{ \cos (90 ^\circ - \theta ) \cos \theta } { \cot \theta }$ = ?

A.	$sin^2\theta - cos^2\theta$
B.	$sin\theta cos\theta$
C.	$tan\theta cot\theta$
D.	$2$

In the given figure, a circle is inscribed in a $\triangle PQR.$ $PQ = 8 \space cm, QR = 6 \space cm,$ and $PR = 10 \space cm.$ What is the length of $PL$ ?

A.	$6 \space cm$
B.	$2 \space cm$
C.	$8 \space cm$
D.	$4 \space cm$

A.
B.
C.
D.

What is the area of the largest triangle that can be inscribed in a semi-circle of radius $r$ units?

A.	$r^2 \text{ sq. units }$
B.	$4 r^2 \text{ sq. units }$
C.	$\dfrac { 1 } { 4 } \text{ sq. units }$
D.	$\text { None of these }$

There is a right cylindrical vessel of radius 3 cm and height 32 cm which is full of ice-cream. This ice-cream needs to be filled in cones of height 10 cm and radius 3 cm having a hemispherical shape on the top. How many such cones can be filled with ice-cream?

A.	7
B.	6
C.	5
D.	8

Find the mean of the following data.

$\text{ Age (in years) }$	$\text{ Number of people }$
$\text{ Less than } 5$	$15$
$\text{ Less than } 10$	$46$
$\text{ Less than } 15$	$66$
$\text{ Less than } 20$	$79$

A.	$7.424$
B.	$5.424$
C.	$7.184$
D.	$6.424$

A survey of $800$ girls of a school was conducted and it was found that $144$ girls like coffee while $656$ dislike it. Out of these girls, one girl is selected at random.
What is the probability that the selected girl likes coffee?

A.	$0.92$
B.	$0.82$
C.	$0.18$
D.	$1$

$SR48000$ were divided equally among a certain number of persons. Had there been $20$ more persons each would have got $SR200$ less. Find the original number of persons.

A.	$60$
B.	$64$
C.	$65$
D.	$62$

A die has numbers 1 to 6, such that sum of opposite faces are always 7. Which is the correct view of die ?

A.
B.
C.
D.

In this diagram, the triangle represents women, the square represents lawyers and the circle represents tall. Find the number of lawyers who are not tall.

A.	8
B.	1
C.	5
D.	3

Find the next term of given sequence ..
14, 154, 182, 238, 266, 322, ....

A.	410
B.	406
C.	420
D.	392

Which of the following can take the place of the blank in the series below?
B2V, F3R, J5N, _____, R11F

A.	N7J
B.	N8K
C.	M7J
D.	O8K

Find the next term of given sequence ..
12, 38, 118, 360, 1088, 3274, ....

A.	29502
B.	9836
C.	9827
D.	9834