Ashvin and Bernard are racing on a circular track. If Ashvin takes 72 minutes and Bernard takes 48 minutes to complete the round. If they both start at the same point at the same time and go in same direction, after how many minutes will they meet again at the start point?

A.	13
B.	19
C.	144
D.	None of above

If α and β are the zeros of quadratic polynomial x² - 3px - 2q, find the value of α² + β².

A.	9p2 + 4q
B.	9p2 - 4q
C.	9p2 + 8q
D.	18p2 + 4q

^@Rs24000^@ were divided equally among a certain number of persons. Had there been ^@100^@ more persons each would have got ^@Rs1000^@ less. Find the original number of persons.

A.	^@25^@
B.	^@24^@
C.	^@22^@
D.	^@ 20 ^@

Find the roots of the quadratic equation ^@ 3z^2-7z + 3 = 0 ^@.

A.	^@ \dfrac{ 7 + \sqrt{ 13} } { 6 } \text{ or } \dfrac{ 7 - \sqrt{ 13} } { 6 } ^@
B.	^@ \dfrac{ -7 + \sqrt{ 14 } } { 6 } \text{ or } \dfrac{ -7 - \sqrt{ 14 } } { 6 } ^@
C.	^@ \dfrac{ -7 + \sqrt{ 13 } } { 6 } \text{ or } \dfrac{ -7 - \sqrt{ 13 } } { 6 } ^@
D.	^@ \dfrac{ 7 + \sqrt{ 14 } } { 6 } \text{ or } \dfrac{ 7 - \sqrt{ 14 } } { 6 } ^@

What is the sum of all three-digit numbers that are divisible by 19?

A.	25899
B.	25894
C.	25897
D.	25898

Find ^@ \angle P ^@ in the given figure

A.	^@ 50^o ^@
B.	^@ 90^o ^@
C.	^@ 100^o ^@
D.	^@ 80^o ^@

If ^@A(4,-6)^@, ^@B(8 , y)^@, ^@C(x, -10)^@ and ^@D(2, -10)^@ are the vertices of a parallelogram ^@ABCD^@, find the values of ^@x^@ and ^@y^@.

A.	^@ x = 6, y = -6 ^@
B.	^@ x = 10 , y = -2 ^@
C.	^@ x = 9 , y = -3 ^@
D.	^@ x = 8 , y = -4 ^@

If ^@ A^@, ^@B^@, and ^@C^@ are the angles of ^@\Delta ABC^@, find the value of ^@tan \bigg( \dfrac { B + C } { 2 } \bigg).^@

A.	^@ tan \dfrac { C } { 2 } ^@
B.	^@ cot \dfrac { A + B } { 2 } ^@
C.	^@ cot \dfrac { A } { 2 } ^@
D.	None of these

In the given figure, AB is the diameter of a circle with center ^@O^@ and ^@AT^@ is a tangent. If ^@\angle AOQ = 54^\circ ^@, find ^@\angle ATQ^@.

A.	^@ 27^\circ ^@
B.	^@ 63^\circ ^@
C.	^@ 47^\circ ^@
D.	^@ \text{ None of these } ^@

A.
B.
C.
D.

Find the difference between the area of a regular hexagonal plot each of whose side is ^@ 60 \space m ^@ and the area of the circular swimming tank inscribed in it. ^@ \bigg[π = \dfrac { 22 } { 7 } \text { and } \sqrt { 3 } = 1.732 \bigg]^@

A.	^@ 867.58 \space m^2 ^@
B.	^@ 8485.22 \space m^2 ^@
C.	^@ 17838.02 \space m^2 ^@
D.	^@ \text { None of these } ^@

Kaleem loves to play with building blocks. He has building blocks in the shape of a cube. The shape and size of all the blocks are the same. Each edge of the block has a length of ^@ 7 \space cm ^@. This time Kaleem tries to form columns by placing the blocks one over the other. He places the blocks in such a way that there is always a block less in the consecutive column. If he starts with ^@6^@ blocks in the first column then what is the volume of the resultant figure?

A.	^@ 7203 \space cm^3^@
B.	^@ 21 \space cm^3 ^@
C.	^@ 1029 \space cm^3 ^@
D.	^@ 147 \space cm^3 ^@

The diameter of ^@72^@ screws was noted and the following data was obtained:

^@ \begin{align} \text { Diameter (in mm) } \end{align}^@	^@ 20 - 24^@	^@ 24 - 28^@	^@ 28 - 32^@	^@ 32 - 36^@	^@ 36 - 40^@
^@ \begin{align} \text { Number of screws } \end{align}^@	^@10^@	^@14^@	^@17^@	^@15^@	^@16^@

Determine the modal diameter of the screws.

A.	^@ 31.028 \space mm ^@
B.	^@ 31.208 \space mm ^@
C.	^@ 30.824 \space mm ^@
D.	^@ 30.722 \space mm ^@

A die is thrown once. Find the probability of getting a multiple of ^@2^@.

A.	^@ \dfrac { 2 } { 5 } ^@
B.	^@ \dfrac { 1 } { 2 } ^@
C.	^@ 1 ^@
D.	^@ \dfrac { 3 } { 6 } ^@

Select the correct expanded form of ^@ (7 p - 2) (6 p - 1) ^@ :

A.	^@ 47 p^2 - 19 p + 2 ^@
B.	^@ 42 p^2 - 19 p + 2 ^@
C.	^@ 42 p^3 - 19 p + 2 ^@
D.	^@ 45p^2 - 22 p + 2 ^@

Faces of a cube are marked with A,B,C,D,E and F. If two views of cube are as shown below, what will be there on the bottom when D is at the top?

A.	D
B.	F
C.	C
D.	B

Following chart shows number of students in a school who play one of three sports. Find the number of students who play Badminton and Hockey.

A.	29
B.	23
C.	26
D.	25

Find the next term of given sequence.
29, 55, 81, 107, 133, 159, 185, ....

A.	237
B.	207
C.	211
D.	216

Which of the following choices would replace the blank below
CEGI:FHJL::HJLN:____

A.	JLNP
B.	KMOQ
C.	KMOP
D.	LNPR

Find the next term of given sequence ..
16, 34, 71, 147, 301, 613, ....

A.	1244
B.	1239
C.	13629
D.	2478