Regarding rational numbers:
A. The quotient of two integers is always a rational number and
B.  

1

0

  is not a rational number.
Which of the following statements is correct ?

A.	Both A and B are false.
B.	A is correct and B is correct explanation of A.
C.	A is false but B is a correct explanation of A.
D.	A is correct but B is incorrect.

Find the degree of ^@ s^{ 13 } -18s^{ 9 } - 31 \space ? ^@

A.	^@ 12 ^@
B.	^@ 13 ^@
C.	^@ 11 ^@
D.	^@ 9 ^@

Find the resultant shape obtained by connecting the points (-20, 10), (-30, 0), (-20, 0) and (-30, 10).

A.	Rectangle
B.	Hexagon
C.	Square
D.	Parallelogram

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

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

Another name for ^@ \angle 1 ^@ is:

A.	^@ \angle C O B ^@
B.	^@ \angle A O C ^@
C.	^@ \angle D O B ^@
D.	^@ \angle AOD ^@

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 perimeter of a parallelogram is 140 cm. If one side exceeds the other side by 20 cm, what are the sides of the parallelogram ?

A.	25 cm, 5 cm
B.	26 cm, 46 cm
C.	35 cm, 55 cm
D.	25 cm, 45 cm

In the rhombus, ∠PRS = 2X - 218° and ∠QSP = 2X - 8°. Find the value of X.

A.	87°
B.	79°
C.	158°
D.	71°

Two chords ^@ AB ^@ and ^@ AC ^@ of a circle subtends angles equal to ^@ 30^\circ ^@ and ^@ 40^\circ,^@ respectively at the centre. Find ^@ \angle BAC. ^@

A.	^@ 155^\circ ^@
B.	^@ 135^\circ ^@
C.	^@ 140^\circ ^@
D.	^@ 145^\circ ^@

Draw a circle with its two chords ^@AB^@ and ^@CD^@ such that ^@AB^@ is not parallel to ^@CD^@. Draw the perpendicular bisector of ^@AB^@ and ^@CD^@. At what point do they intersect each other.

A.	Anywhere in the circle
B.	On chord ^@AB^@
C.	Center of the circle
D.	None of the above

Find the percentage increase in the area of a triangle if each side is increased to ^@4^@ times.

A.	^@1400\% ^@
B.	^@ 1500 \% ^@
C.	^@1600\% ^@
D.	^@1300 \% ^@

The diameter of a solid metallic right circular cylinder is equal to its height. After cutting out the largest possible solid sphere ^@S^@ from the cylinder, the remaining material is recast to form a solid sphere ^@S_1^@. What is the ratio of the radius of the sphere ^@S^@ to that of sphere ^@S_1 ?^@

A.	^@\sqrt[3]{ 3 } : 1^@
B.	^@2:1^@
C.	^@ \sqrt[3]{ 2 } : 1^@
D.	None of these.

The given table shows the marks of 10 students in Math exam.

Name	Marks (Out of 20)
Charlotte	10
Connor	18
Bethany	18
Sophie	18
Daniel	7
Ellie	20
Luca	11
Georgia	19
Anna	11
Emilia	4

What is the mean value of the marks.

A.	11.7
B.	13.6
C.	15.2
D.	13.3

In 1992, the meteorological office predicted the weathers completely right for the months of february and april, and completely wrong for all the other months. What is the probability that the forecast was right for a given day that year?

A.	307 365
B.	59 365
C.	61 366
D.	59 366

You are given a set of tiles which are numbered from 1 to 81. You do the following operations repeatedly: you remove all those tiles that are numbered with a perfect square, and renumber the remaining tiles consecutively starting with 1. How many times must you perform the operation before you are left with 1 tile?

A.	18
B.	16
C.	14
D.	17

Coin A is flipped 4 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.	63 256
B.	65 256
C.	67 256
D.	59 254