1

√2

  is __________ number

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

Find the quadratic polynomial such that sum of its zeros is 28 and difference between zeros is 8.

A.	k [x2 - 30x + 180]
B.	k [x2 - 28x + 180]
C.	k [x2 + 28x + 180]
D.	k [x2 - 38x + 180]

Graph of a homogeneous system of equations is

A.	parallel
B.	intersecting or coincident
C.	always coincident
D.	always intersecting

What are the roots of the equation $20 x^2 - 7 x - 6 = 0$? (Use completing the square method)

A.	$\dfrac { 30 } { 4 }$ and $\dfrac { -2 } { 40 }$
B.	$\dfrac { 3 } { 5 }$ and $\dfrac { -2 } { 5 }$
C.	$\dfrac { 3 } { 4 }$ and $\dfrac { -2 } { 5 }$
D.	$\dfrac { -2 } { 4 }$ and $\dfrac { -2 } { 5 }$

What is the difference between the 26^th term and 14^th term of the arithmetic progression 11, 19, 27, 35?

A.	88
B.	80
C.	112
D.	96

In the given figure, $DE || BC$ and $AD:DB = 12:9$.



Find the ratio $ar(\Delta DFE):ar(\Delta CFB)$.

A.	$145 : 81$
B.	$288 : 162$
C.	$149 : 91$
D.	$144 : 441$

Find the area of the triangle formed by joining the midpoints of the sides of the triangle whose vertices are $A(8,12)$, $B(4,20)$, and $C(12,24)$.

A.	$15{ \space } \text{ sq. unit }$
B.	$10 { \space } \text{ sq. unit }$
C.	$20{ \space } \text{ sq. unit }$
D.	$\text{ None of these }$

The angle of elevation of the top of a tower from the two points $P$ and $Q$ at distances of $a$ and $b \space (a > b)$ respectively from the base and in the same straight line with it are complementary. The height of the tower is:

A.	$\sqrt{ab}$
B.	$\sqrt{a^2 + b^2}$
C.	$\sqrt{a - b}$
D.	$\sqrt{a + b}$

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 $QL$ ?

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

A.
B.
C.
D.

The radii of two circles are $14 \space cm$ and $18 \space cm$ respectively. Find the radius of the circle having its area equal to the sum of the areas of the two circles.

A.	$196 \space cm$
B.	$22.8 \space cm$
C.	$520 \space cm$
D.	$\text { None of these }$

A object is in the form of a hollow hemisphere mounted by a hollow cylinder. The diameter of the hemisphere is 16 cm and the total height of the object is 78 cm, then choose the correct inner surface area of the object.

A.	42164.57 cm2
B.	540.57 cm2
C.	4324.57 cm2
D.	None of these

A survey regarding the weight of $108$ students of a school was conducted and the following data was obtained:

$\begin{align} \text { Weight (in kg) } \end{align}$	$30 - 32$	$32 - 34$	$34 - 36$	$36 - 38$	$38 - 40$	$40 - 42$	$42 - 44$
$\begin{align} \text { Number of students } \end{align}$	$12$	$16$	$19$	$17$	$20$	$13$	$11$

Determine the modal weight of the students.

A.	$36.852 \space kg$
B.	$36.768 \space kg$
C.	$36.952 \space kg$
D.	$36.824 \space kg$

Two coins are tossed simultaneously $900$ times and it is found that two tails appeared $450$ times, one tail appeared $270$ times and no tails appeared $180$ times.
If two coins are tossed at random, what is the probability of getting $1 \text { tail }$?

A.	$0.2$
B.	$1$
C.	$0.3$
D.	$0.5$

If the numbers $(3 x - 1), (4 x + 2)$ and $(7 x - 1)$ are in AP, find the second number.

A.	14
B.	18
C.	15
D.	None of these

Faces of a cube are marked with A,B,C,D,E and F. Two views of cube are as shown below, if face C is opposite to face B, what will be there on the top when D is at the bottom?

A.	F
B.	E
C.	A
D.	Cannot be determined

In this diagram, the triangle represents women, the square represents engineers and the circle represents employed. Find the number of engineers who are employed but not women.

A.	4
B.	7
C.	3
D.	1

Find the next term of given sequence ..
15, 105, 165, 195, 255, 285, ....

A.	345
B.	353
C.	360
D.	330

Which of the following is the next terms in the series given below?
BZD, DWG, FTJ, HQM, ___

A.	INQ
B.	MNP
C.	JNP
D.	JMP

Find the next term of given sequence ..
$5, 13, 29, 61, 125, 253, ....$

A.	512
B.	503
C.	515
D.	509