1

√3

  is __________ number

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

Find a quadratic polynomial, the sum and product of whose zeros are ^@ -7 ^@ and ^@12^@ respectively.

A.	^@ \space x^2 + 12 x + 7 ^@
B.	^@ \space 2x^2 + 12 x + 7 ^@
C.	^@ x^2 + 7 x + 12 ^@
D.	^@ \text{ None of these } ^@

In a two digit number, the units digit is twice the tens digit. If 18 is added to the number, the digits interchange their places. Find the number.

A.	21
B.	42
C.	12
D.	24

Lian buys a number of notebooks for ^@¥84^@. If he had bought ^@2^@ more notebooks for the same amount, each notebook would have cost ^@¥1^@ less. How many notebooks did he buy?

A.	^@13^@
B.	^@14^@
C.	^@11^@
D.	^@12^@

The sum of the first three terms of an AP is 90, and the sum of the next three terms is -54. What is the value of the 12^th term?

A.	-162
B.	-130
C.	-82
D.	-146

A lamp is ^@ 29.7 \space m ^@ above the ground. A boy ^@ 77 \space cm ^@ tall walks away from the base of this post at a speed of ^@ 1.8 \space m/s^@. Find the length of the shadow of the boy after ^@ 9 \space seconds ^@.

A.	^@ 1.43\space m ^@
B.	^@ 1.93\space m ^@
C.	^@ 0.43\space m ^@
D.	^@ 2.43\space m ^@

Find the point on the ^@y^@-axis which is equidistant from the points ^@A(1,3)^@ and ^@B(-1,5)^@.

A.	^@{P(4,0)}^@
B.	^@{P(3,0)}^@
C.	^@{P(5,0)}^@
D.	^@{P(0,4)}^@

In right ^@\Delta ABC ^@, ^@\angle B ^@ = ^@ 90^o ^@, ^@BC ^@ = ^@3^@ cm, and ^@ AC^@ = ^@3 \sqrt{ 2 } ^@ cm. Find ^@\angle C^@.

A.	^@ 90^\circ^@
B.	^@30^\circ ^@
C.	^@ 45^\circ^@
D.	^@60^\circ^@

^@ AP ^@ and ^@ BP ^@ are the two tangents at the extremities of chord ^@ AB ^@ of a circle. ^@ \angle MAP ^@ is equal to:

A.	^@ \angle APB ^@
B.	^@ \angle MBP ^@
C.	^@ \angle MPB ^@
D.	^@ \angle APM ^@

A.
B.
C.
D.

The given figure is a sector of a circle of radius ^@ 3.5 \space cm ^@. Find the perimeter of the sector. ^@\bigg(^@Take ^@ \pi = \dfrac { 22 }{ 7 }\bigg)^@

A.	^@ 28.83 \space cm ^@
B.	^@ 19.33 \space cm ^@
C.	^@ 8.83 \space cm ^@
D.	^@ \text { None of these } ^@

A building is in form of a right circular cylinder and cone as shown in the picture. The radius of cone and cylinder is 4 meters. The height of cylinder and cone are 8 meters and 3 meters respectively. Find the outer surface area of the building. (Assume π =  

22

7

 )

A.	792 m2
B.	132 m2
C.	264 m2
D.	528 m2

If the mean of the following data is 33.5, and the sum of all the frequencies is 100, then what is the value of y?

Class interval	0-10	10-20	20-30	30-40	40-50	50-60	60-70
Frequency	14	14	18	y	10	9	x

A.	18
B.	23
C.	21
D.	20

What is the probability that a leap year will contain 53 Fridays and 52 Saturdays?

A.	2 366
B.	1 366
C.	1 52
D.	1 7

In ^@ \triangle ABC,^@ if ^@ BC = 2 \sqrt{ 3}, ^@ find the value of ^@ AC. ^@

A.	^@2 \sqrt{ 2}^@
B.	^@4 \sqrt{ 3}^@
C.	^@ 4 ^@
D.	^@4 \sqrt{ 2}^@

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

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

In this diagram, the triangle represents men, the square represents inspectors and the circle represents employed. Find the number of men who are inspectors and employed.

A.	9
B.	3
C.	5
D.	2

Find the missing number

8	4	13
9	2	13
25	10	?

A.	26
B.	45
C.	52
D.	39

Which is the odd one out in this set:
VCM, XEN, OVF, WDN

A.	XEN
B.	VCM
C.	OVF
D.	WDN

Find the next term of given sequence ..
15, 15, 18, 26, 41, 65, ....

A.	136
B.	124
C.	100
D.	95