n² − n is ________ for every positive integer n.

A.	odd
B.	even
C.	can't say
D.	negative

If α and β are the zeros of polynomial x² - 13x + k, such that α² + β² = 89. Find the value of k.

A.	32
B.	40
C.	35
D.	45

Kieu travels ^@560 \space km,^@ partly by train and partly by bike. If she covers ^@80 \space km^@ by train and the rest by bike, it takes her ^@10 \space hours.^@ If she travels ^@320 \space km^@ by train and the rest by bike, it takes her ^@2 \space hours^@ more. Find the speed of the train and that of the bike.

A.	^@44 \space km/hr ^@ and ^@ 64 \space km/hr^@
B.	^@ \dfrac { 1 } { 40 } \space km/hr ^@ and ^@ \dfrac { 1 } { 60 } \space km/hr^@
C.	^@ \dfrac { 1 } { 44 } \space km/hr ^@ and ^@ \dfrac { 1 } { 64 } \space km/hr^@
D.	^@40 \space km/hr ^@ and ^@ 60 \space km/hr^@

The speed of a boat in still water is ^@20 \text { km/hour }^@. It goes ^@96 \text { km }^@ upstream and return downstream to starting point in ^@10 \text { hours }^@. Find the speed of the stream.

A.	5 km/hour
B.	5.5 km/hour
C.	4.5 km/hour
D.	4 km/hour

The sum of three numbers (ascending order) in AP is ^@ 15 ^@ and their product is ^@ -120 ^@. Find the numbers.

A.	^@ 3, 10, \text{ and } 17 ^@
B.	^@ 8, 15, \text{ and } 22 ^@
C.	^@ -2, 5, \text{ and } 12 ^@
D.	^@ \text{ None of these}^@

The areas of two similar triangles are ^@ 9 \space cm^2^@ and ^@49 \space cm^2^@ respectively. If the median of first triangle is ^@3 \space cm^@, find the corresponding median of the other.

A.	^@ 11 \space cm ^@
B.	^@ 8 \space cm ^@
C.	^@ 7 \space cm ^@
D.	^@ 6 \space cm ^@

The values of ^@t^@, if the area of the pentagon ^@ABCDE^@ be ^@\dfrac{ 50 }{ 2 }^@ sq. units where ^@A = (1, 3)^@, ^@B = (-4, 5)^@, ^@C = (-3, -1)^@, ^@D = (0, -2)^@ and ^@E = (2, t)^@ are

A.	^@14^@ or ^@2^@
B.	^@14^@ or ^@-2^@
C.	^@-14^@ or ^@-2^@
D.	^@-14^@ or ^@2^@

A statue ^@ 2.1 \space m ^@ tall stands on the top of the pedestal. From a point on the ground, the angle of elevation of the top of the statue is ^@ 45^\circ ^@ and from the same point the angle of elevation of the top of the pedestal is ^@ 30^\circ ^@. What is the height of the pedestal?

A.	^@ 4.87 \space m ^@
B.	^@ 2.87 \space m ^@
C.	^@ 3.37 \space m ^@
D.	^@ 5.37 \space m ^@

In the given figure, ^@ PA ^@ is a tangent from an external point ^@ P ^@ to a circle with center ^@ O ^@. If ^@ \angle BOP = 136^\circ ^@, find ^@ \angle APO ^@.

A.	^@ 56^\circ ^@
B.	^@ 61^\circ ^@
C.	^@ 46^\circ ^@
D.	^@ 51^\circ ^@

A.
B.
C.
D.

To warn ships for underwater rocks, a lighthouse throws a red colored light over a sector of angle ^@ 90^\circ ^@ to a distance of ^@ 3.5 \space km^@. Find the area of the sea over which the ships are warned. ^@ \bigg( ^@ Use ^@ \pi = \dfrac { 22 } { 7 } \bigg)^@

A.	^@ 3.06 \space km^2 ^@
B.	^@ 9.63 \space km^2 ^@
C.	^@ 5.5 \space km^2 ^@
D.	^@ \text { None of these } ^@

A decorative block shown in the figure is made of two solids_a cube and a hemisphere. The base of the block is the cube with edge of 3.6 cm and the hemisphere attached on the top has a diameter of 2.6 cm. If the block to be painted, then the total area to be painted is:

A.	72.45 cm2
B.	83.07 cm2
C.	10.62 cm2
D.	None of these

Find the mean of the following data (Hint: Use the Step-Deviation method).

^@ \text{ Diameter (in mm) }^@ ^@22-26^@ ^@26-30^@ ^@30-34^@ ^@34-38^@ ^@38-42^@ ^@\text{ Number of screws }^@ ^@18^@ ^@18^@ ^@18^@ ^@18^@ ^@28^@

A.	22.8
B.	42.8
C.	27.8
D.	32.8

If a prime number is less than 29, what is the probability that it is also less than 19.

A.	7 9
B.	10 9
C.	8 11
D.	7 12

The table below shows the number of books read by five children in a year.

Name	Number of books
Huong	20
Nevermore	28
Rose	x
Harry	21
Hieu	30

If the average number of books read by the children was 26, then how many books did Rose read over the year?

A.	31
B.	29
C.	35
D.	33

Faces of a cube are marked with 1, 2, 3, 4, 5 and 6. If two views of cube are as shown below, what will be there on the face opposite to face 3 ?

A.	4
B.	1
C.	2
D.	Cannot be determined

Following chart shows number of students in a school who play one of three sports. Find the number of students who play exactly two sports.

A.	50
B.	46
C.	47
D.	43

Find the missing number

7	5	13
43	33	?

A.	81
B.	65
C.	73
D.	79

Which of the following fills the blank in the series below:
^@ A, WV, EF, \underline{\hspace{.30in}}, IJKL, ONMLK. ^@

A.	^@PQ^@
B.	^@T^@
C.	^@ S ^@
D.	^@RS^@

Which of following shows relation between Elephant, Cow and Animal.

A.
B.
C.
D.