The value of ^@ \sqrt{ 2\sqrt{ 2\sqrt{ 2\sqrt{ 2 \ldots }}}} ^@ is:

A.	^@ 2 ^@
B.	^@ 0 ^@
C.	^@1.414^@
D.	can't be determined

Identify the type of polynomial. @^ y + 6y^{ 3 } + 7 y^{ 2 }@^

A.	Cubic
B.	Linear
C.	Quadratic
D.	Constant

How many lines are there which are parallel to the ^@y-^@axis and have a distance of ^@6^@ units?

A.	^@4^@
B.	^@3^@
C.	2
D.	^@1^@

If ^@(x, y)^@ = ^@(-4, 3)^@ is the solution of the pair of linear equations ^@mx + y = -5 x + n = -5^@, then find the value of ^@m + n^@.

A.	^@-28^@
B.	^@-23^@
C.	^@-8^@
D.	^@-18^@

The type of ^@ \angle ABA ^@ is

A.	Zero angle
B.	Complete angle
C.	Reflex angle
D.	Straight angle

If ^@AP,^@ ^@BQ,^@ and ^@CR^@ be the altitudes of the ^@\triangle ABC,^@ then:

A.	^@AP + BQ + CR < AB + BC + AC^@
B.	^@AP + BQ + CR > AB + BC + AC^@
C.	^@AP + BQ + CR = AB + BC + AC^@
D.	None of these

The length and breadth of a rectangle is ^@3 \space cm^@ and ^@4 \space cm^@. Find the radius of the circumcircle of this rectangle.

A.	^@5 \space cm^@
B.	^@1.25 \space cm^@
C.	^@7.5 \space cm^@
D.	^@2.5 \space cm^@

In the rhombus, ∠PRS = 2X - 194° and ∠QSP = 2X - 8°. Find the value of X.

A.	81°
B.	65°
C.	146°
D.	73°

Two circles with centres O and O′ intersect at two points A and B. A line PQ is drawn parallel to OO′ through A(or B) intersecting the circles at P and Q. Find the ratio OO′:PQ.

A.	1:2
B.	2:3
C.	2:1
D.	1:1

The contruction of a triangle ^@ ABC ^@ in which ^@ AB = 14 \space cm ^@, ^@ \angle A = 30^\circ ^@ is possible when ^@ BC - AC ^@ is equal to:

A.	^@ 14.5 \space cm ^@
B.	^@ 13.5 \space cm ^@
C.	^@ 15.5 \space cm ^@
D.	^@ 15 \space cm ^@

From a point in the interior of an equilateral triangle, perpendiculars are drawn on the three sides. The lengths of the perpendiculars are 5 cm, 6 cm and 4 cm. Find the area of the triangle.

A.	75√3 cm2
B.	15 cm2
C.	15 √3   cm2
D.	225 cm2

If the radius of a hemisphere is 2b, find its total surface area.

A.	18πb2
B.	27πb2
C.	12πb2
D.	2πb2

Esteban is a part of the school cricket team and this year he has scored an average of 51 runs. He has played 8 innings so far and his scores in 7 of them are 50, 47, 59, 59, 42, 61, 43.
What was his score in the last innings?

A.	47
B.	51
C.	42
D.	49

Karina selects 3 numbers randomly from the following set of 5 numbers 4, 1, 11, 3 and 6.
She puts them in the form of a proper fraction of the type  

a	b
	c

 .
What is the probability that you will get a fraction greater than  

4	14
	15

 ?

A.	12 30
B.	18 30
C.	6 30
D.	18 36

Train A leaves Puebla for Guadalajara and travels at a constant speed. At the same time train B leaves Guadalajara for Puebla and also travels at a constant speed.
Town X is between Puebla and Guadalajara. Puebla, town X and Guadalajara lie on a straight line. Which train has greater speed?

Which of following statements are sufficient to answer the question.
I. Train B arrives at town X after train A.
II. Town X is closer to Puebla than Guadalajara.

A.	Statement II alone is sufficient to answer the problem
B.	Statement I alone is sufficient to answer the problem
C.	Statements I and II both are needed
D.	Statements I and II both are not sufficient

A rectangle is given whose area is ^@x^ { 2 }-7x + 12^@. Then

A.	Neither ^@(x-3)^@ nor ^@(x-4)^@ are the sides of the rectangle
B.	Both ^@(x-3)^@ and ^@(x-4)^@ are the sides of the rectangle
C.	^@(x-3)^@ is a side of the rectangle
D.	^@(x-4)^@ is a side of the rectangle