The value of ^@ \sqrt{ 5\sqrt{ 5\sqrt{ 5\sqrt{ 5 \ldots }}}} ^@ is:

A.	^@2.236^@
B.	^@ 0 ^@
C.	^@ 5 ^@
D.	can't be determined

Factorize: @^ (7 y^5 - 847y) @^

A.	^@ 7 y ( y^2 + 11 )( y^2 + 11 )^@
B.	^@ y ( y^2 - 11 )( y^2 + 11 ) ^@
C.	^@ 7 y ( y^2 - 11 )( y^2 + 11 ) ^@
D.	^@ 7 ( y^2 - 11 )( y^2 + 11 )^@

What is the distance of the point ^@P(16, -30)^@ from the origin.

A.	^@38^@
B.	^@35^@
C.	^@34^@
D.	^@44^@

if ^@x = \dfrac { 5 y - 2 }{ 3 }^@, then find ^@y^@ in terms of ^@x^@.

A.	^@\dfrac { 5 x - 3 }{ 2 }^@
B.	^@ \dfrac { 3x + 2 } { 5 }^@
C.	^@\dfrac { 5 x - 2 }{ 2 }^@
D.	^@\dfrac { 5 x - 2 }{ 3 }^@

Which of the following two shapes can be joined together to form a semi-circle?

(a)	(b)	(c)	(d)

A.	b and c
B.	a and c
C.	d and b
D.	d and a

The length of ^@PR^@ in the given figure is:

A.	^@17 \space cm^@
B.	^@14 \space cm^@
C.	^@3 \space cm^@
D.	^@13 \space cm^@

In the given figure, ^@ ABCD ^@ is a square. A line segment ^@DX^@ cuts the side ^@BC^@ at ^@X^@ and the diagonal ^@AC^@ at ^@O^@ such that ^@\angle COD = 118^\circ^@ and ^@\angle OXC = x^\circ^@. Find the value of ^@x^@.

A.	^@ 73^\circ ^@
B.	^@ 68^\circ ^@
C.	^@ 74^\circ ^@
D.	^@ 71^\circ ^@

The area of a trapezium is 408.5 cm² and the distance between its parallel sides is 19 cm. If one of the parallel sides is of length 21 cm, find the length of the other side.

A.	44 cm
B.	11 cm
C.	20 cm
D.	22 cm

Two circles of radii 13 cm and 5 cm intersect at two points and the distance between their centres is 12 cm. Find the length of the common chord.

A.	13 cm
B.	10 cm
C.	12 cm
D.	11 cm

Which of the following angles can be constructed using ruler and compass only?

A.	^@ 32.5^\circ ^@
B.	^@ 110^\circ ^@
C.	^@ 50^\circ ^@
D.	^@ 120^\circ ^@

From a point in the interior of an equilateral triangle, perpendiculars are drawn on the three sides. If the lengths of the perpendiculars are ^@a, b,^@ and ^@c^@, find the altitude of the triangle.

A.	^@ (a + b + c) \sqrt { 3 } ^@
B.	^@ \dfrac { a+b+c } { 3 }^@
C.	^@ \dfrac { abc } { 3 }^@
D.	^@a + b + c^@

If the radius of a hemisphere is 4r, find its curved surface area.

A.	75πr2
B.	18πr2
C.	50πr2
D.	32πr2

The mean of the following frequency distribution is ^@26.14.^@

^@ x_i ^@	^@1^@	^@7^@	^@13^@	^@19^@	^@25^@	^@31^@	^@37^@	^@ \text{ Total } ^@
^@f_i^@	^@?^@	^@1^@	^@12^@	^@?^@	^@4^@	^@15^@	^@47^@	^@ 100 ^@

The missing frequencies are:

A.	^@ 14, 5^@
B.	^@10, 7 ^@
C.	^@15, 8^@
D.	^@14, 7^@

Coin A is flipped 3 times and coin B is flipped 5 times. What is the probability that the number of heads obtained from flipping the two coins is the same?

A.	3 32
B.	7 32
C.	9 32
D.	5 32

A showroom stocks tiles in combination of 3 colors - blue, red, and yellow. 60% of the tiles have blue color. 35% of tiles have red color, and 45% of tiles have yellow color. No tile has all 3 colors, but some tiles can have 2 colors. What percentage of tiles have only one color?

A.	50%
B.	65%
C.	60%
D.	70%

If coordinates of the point shown in the picture are (p+25, p+35), find the value of p.

A.	5
B.	0
C.	-10
D.	-5