Which of the following is a rational number(s)?

A.	-12 -14
B.	4 -11
C.	6 13
D.	All of these

Factorize: @^ \begin{aligned} uv - vw - un + wn \end{aligned} @^

A.	^@ (u - v) (w - n) ^@
B.	^@ (u - w) (v - n) ^@
C.	^@ (u - n) (v - w) ^@
D.

What is the abscissa of the point ^@U(2,11)^@ ?

A.	^@ 2 ^@
B.	^@ -11 ^@
C.	0
D.	^@ 11 ^@

A point on line x + y = 0 is of the form:

A.	(d, -d)
B.	(0, d)
C.	(d, d)
D.	(d, 0)

What is the angle between the East and North-East direction?

A.	45°
B.	0°
C.	135°
D.	90°

^@D^@ is the midpoint of the hypotenuse ^@AC^@ of a right ^@ \triangle ABC.^@ If ^@ AC = 32 \space cm,^@ then the length of ^@BD ^@ is:

A.	^@12 \space cm^@
B.	^@2 \space cm^@
C.	^@32 \space cm^@
D.	^@16 \space cm^@

In a triangle, ABC, D is a point on AB such that AB = 4AD and E is a point on AC such that AC = 4AE. Find BC.

A.	AD + AE
B.	4ED
C.	3ED
D.	5ED 2

In the rhombus, ∠PRS = 8X - 660° and ∠QSP = 2X - 20°. Find the value of X.

A.	57°
B.	97°
C.	154°
D.	77°

Two circles with radii of 8 and 14 are drawn with the same center. The smaller inner circle is painted green, and the part outside the smaller circle and inside the larger circle is painted red. What is the ratio of the areas painted red to the area painted green?

A.	2:1
B.	17:8
C.	33:16
D.	33:17

To construct an angle of ^@ 120^\circ, ^@ we bisect:

A.	^@ 247.5^\circ ^@
B.	^@ 270^\circ ^@
C.	^@ 255^\circ ^@
D.	^@ 240^\circ ^@

A rhombus has all its internal angles equal. If one of the diagonals is 10 cm, find the length of other diagonal and the area of the rhombus.

A.	11 cm, 55 cm2
B.	50 cm, 10 cm2
C.	10 cm, 50 cm2
D.	10 cm, 100 cm2

The heights of two cylinders are in the ratio 7:1 and their radii are in the ratio 1:2. Find the ratio of their volumes.

A.	2:7
B.	7:2
C.	7:4
D.	4:7

What is the average of all possible five-digit numbers that can be formed by using each of the digits 7, 8, 3, 2, and 9 exactly once?

A.	64443.8
B.	75554.8
C.	42221.8
D.	53332.8

If a prime number is less than 23, what is the probability that it is also less than 13.

A.	5 8
B.	6 11
C.	7 8
D.	5 9

Find the conclusion by assuming following statements to be true (Statements may be contrary to the universal opinion).
Statements :
(i) All tables are rats
(ii) All chairs are tables.
Conclusion?

A.	Some tables are chairs
B.	No chair is a rat
C.	All chairs are rats
D.	Some rats are chairs

A sphere is expanded to a bigger sphere such that its volume increases by a factor of 64, find the change in its surface area.

A.	64 times
B.	4 times
C.	16 times
D.	None of these