2 + 8√11 is __________ number

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

If two zeros of polynomial x³ + bx² + cx + d are 1+√2 and 1-√2, find its third zero.

A.	2 - b
B.	- c - 2
C.	-b - 2
D.	b - 2

Which of the following conditions is true if the system of equations below is shown to be inconsistent
a₁x + b₁y + c₁ = 0, a₂x + b₂y + c₂ = 0

A.	a1 a2   =   b1 b2   ≠   c1 c2
B.	a1 a2   ≠   b1 b2   ≠   c1 c2
C.	a1 b1   =   a2 b2   =   c1 c2
D.	a1 a2   =   b1 b2   =   c1 c2

Lilly buys number of toys for QR24. If she had bought 2 more toys for the same amount, each toy would have cost QR1 less. How many toys did she buy?

A.	5
B.	9
C.	6
D.	7

In an arithmetic progression, the value of the 7^th element is  

1

14

 , and the value of 14^th element is  

1

7

 . What is the value of 98^th element?

A.	-2
B.	1
C.	-1
D.	0

In the given figure, ^@\Delta AHK^@ is similar to ^@\Delta ABC^@. ^@AK = 8.5 \space cm^@, ^@BC = 3.5 \space cm^@ and ^@HK = 14 \space cm^@. What is the length of ^@AC^@ ?

A.	^@ 3.13 \space cm ^@
B.	^@ 7.13 \space cm ^@
C.	^@ 4.13 \space cm ^@
D.	^@ 2.13 \space cm ^@

Are the points ^@ D(-39,13), E(26,-26), ^@ and ^@ F(-13,-65) ^@ collinear?

A.	No
B.	Yes
C.
D.

 

2 cos3θ - cosθ

sinθ - 2 sin3θ

  = ?

A.	-cot θ
B.	cot θ
C.	tan θ
D.	-tan θ

In the given figure, ^@ PQ ^@ is a chord of a circle with centre ^@ O ^@ and ^@ PT ^@ is a tangent at point ^@ P ^@. If ^@\angle QPT ^@ = ^@ 41^\circ ^@, find ^@ \angle PRQ ^@.

A.	^@ 41^\circ ^@
B.	^@ 144^\circ ^@
C.	^@ 139^\circ ^@
D.	^@ \text{ None of these } ^@

A.
B.
C.
D.

A chord of a circle of radius ^@ 56 \space cm ^@ subtends a right angle at the center. Find the area of the corresponding major segment.^@ \bigg[\pi = \dfrac { 22 } { 7 }\bigg] ^@

A.	^@ 8960 \space cm^2 ^@
B.	^@ 1146 \space cm^2 ^@
C.	^@ 896 \space cm^2 ^@
D.	^@ \text { None of these } ^@

A solid metallic right circular cone ^@24 \space cm^@ high and whose vertical angle is ^@120^\circ^@ is cut into two parts at the middle point of its height by a plane parallel to the base. If the frustum, so obtained, be drawn into a wire of diameter ^@\dfrac { 1 } { 4 } \space cm^@, find the length of the wire.

A.	^@ 36288 \space cm^3^@
B.	^@ 774144 \space cm^3^@
C.	^@ 3024 \space cm^3^@
D.	^@ 1728 \space cm^3^@

The following table shows the marks obtained by ^@85^@ students of class ^@X^@ in a school. Find the mode of this distribution.

^@ \text { Marks } ^@	^@ \text { Number of students }^@
^@ \text { Less than } 10 ^@	^@ 12 ^@
^@ \text { Less than } 20 ^@	^@ 28 ^@
^@ \text { Less than } 30 ^@	^@ 36 ^@
^@ \text { Less than } 40 ^@	^@ 50 ^@
^@ \text { Less than } 50 ^@	^@ 51 ^@
^@ \text { Less than } 60 ^@	^@ 61 ^@
^@ \text { Less than } 70 ^@	^@ 78 ^@
^@ \text { Less than } 80 ^@	^@ 85 ^@

A.	^@68.12^@
B.	^@64.84^@
C.	^@61.12^@
D.	^@ 64.12 ^@

What is the probability that a leap year will contain 53 Wednesdays?

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

Solve the following system of linear equations by using the method of elimination by equating the coefficients. @^\begin{aligned} & \dfrac { x } { 5 } - \dfrac { y } { 3 } = -4 \\ & \dfrac { x } { 2 } - \dfrac { y } { 6 } = 26 \end{aligned}@^

A.	^@x^@ = ^@69^@ and ^@y^@ = ^@53^@
B.	^@x^@ = ^@70^@ and ^@y^@ = ^@54^@
C.	^@x^@ = ^@57^@ and ^@y^@ = ^@70^@
D.	^@x^@ = ^@55^@ and ^@y^@ = ^@70^@

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 engineers and the circle represents sports persons. Find the number of men who are engineers and sports persons.

A.	1
B.	7
C.	2
D.	9

Find the next term of given sequence ..
25, 26, 30, 39, 55, ....

A.	80
B.	88
C.	73
D.	81

Which of the following choices would replace the blanks below
YX_XXYXYXX__YXXYXYXX_X_XX

A.	YXXYY
B.	YYXYY
C.	YYYYY
D.	XYXYY

Which is the odd one out in this set
IA, IU, IP, IK

A.	IP
B.	IA
C.	IK
D.	IU