Let ^@O^@ and ^@P^@ represent the numbers ^@0^@ and ^@5^@ respectively on the number line. Points ^@Q, R^@ and ^@S^@ are between ^@O^@ and ^@P^@ such that ^@OQ = QR = RS = SP^@. What are the rational numbers represented by the points ^@Q, R,^@ and ^@S^@ respectively?

A.	^@\dfrac5{4},^@ ^@\dfrac{ 5 }{ 2 },^@ ^@\dfrac{ 15 }{ 4 }^@
B.	^@\dfrac5{4},^@ ^@\dfrac{ 5 }{4},^@ ^@\dfrac{ 15 }{ 4 }^@
C.	^@\dfrac5{4},^@ ^@\dfrac{ 5 }{ 2 },^@ ^@\dfrac{ 19 }{ 4 }^@
D.	None of these

If ^@ f(x) = x^{ 3 } - 8^@, then what is the value of ^@ f(-5.6) - 3 f(-2.3)^@?

A.	^@-121.115^@
B.	^@-123.115^@
C.	^@-124.115^@
D.	^@-113.115^@

How many lines are there which are parallel to the ^@x-^@axis and have a distance of ^@8^@ units?

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

If ^@(x, y)^@ = ^@(-2, 10)^@ is the solution of the pair of linear equations ^@mx + y = 9 x + n = -2^@, then find the value of ^@m + n^@.

A.	^@23^@
B.	^@34^@
C.	^@17^@
D.	^@22^@

If AC and EF are parallel, find ∠ADB.

A.	85°
B.	65°
C.	75°
D.	55°

In the figure, ^@AB ^@ and ^@ CD ^@ are perpendicular to ^@ BC ^@ and ^@ AB = CD = 27 \space cm^@, the length of ^@DE^@ is:

A.	^@27 \space cm^@
B.	^@45 \space cm^@
C.	^@3 \space cm^@
D.	^@36 \space cm^@

The diameter of the circumcircle of a rectangle is ^@17 \space cm^@ and rectangle's width is ^@8 \space cm^@. Find the length of the rectangle.

A.	^@15 \space cm^@
B.	^@7.5 \space cm^@
C.	^@8.5 \space cm^@
D.	^@64 \space cm^@

The area of a trapezium is 240 cm² and the distance between its parallel sides is 20 cm. If one of the parallel sides is of length 16 cm, find the length of the other side.

A.	6 cm
B.	8 cm
C.	16 cm
D.	4 cm

If ∠ADC = 115° and chord BC = chord BE. Find ∠CBE.

A.	125°
B.	140°
C.	130°
D.	135°

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

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

Find the percentage increase in the area of a triangle if each side is increased to ^@3^@ times.

A.	^@600 \% ^@
B.	^@700\% ^@
C.	^@ 800 \% ^@
D.	^@900\% ^@

If volume of a cube is 216 cm³, find its surface area.

A.	204 cm2
B.	222 cm2
C.	216 cm2
D.	210 cm2

What is the average of 9 consecutive integers starting from 20?

A.	23
B.	22
C.	25
D.	24

According to a meteorological report for ^@ 200 ^@ consecutive days in a year, its weather forecasts were correct ^@ 104 ^@ times.
Out of these days, one day is chosen at random.
What is the probability that the weather forecast was not correct on that day?

A.	^@ 1 ^@
B.	^@ 0.62 ^@
C.	^@ 0.72 ^@
D.	^@ 0.48 ^@

There is a rectangle ABCD, with sides AB = CD = 40, and sides and BC = DA = 42. The rectangle is rotated 90° clockwise about C, then rotated 90°clockwise about the new location of the point that D after the first rotation. What is the length of the path traveled by point A?

A.	^@55\pi^@
B.	^@51\pi^@
C.	^@50 \pi^@
D.	^@47\pi^@

Two circles of radii 5 cm and 3 cm intersect at two points and the distance between their centres is 4 cm. Find the length of the common chord.

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