The ^@LCM^@ of two numbers is ^@252^@ and their product is ^@31752.^@ Find their ^@HCF.^@

A.	^@ 252 ^@
B.	^@126^@
C.	^@ 130 ^@
D.	None of above

Find a quadratic polynomial whose zeros are ^@ - \dfrac { 3 } { 8 } \space \text{and} \space \dfrac { 6 } { 4 } ^@.

A.	^@ 36 x^2 - 32x - 18 ^@
B.	^@ x^2 - 32x - 18 ^@
C.	^@ 32 x^2 - 36 x - 18 ^@
D.	^@ 36 x^2 - 32x - 1 ^@

Two candles of equal heights but different thickness are lighted. The first burns off in 2 hours and the second in 5 hours. How long after lighting the both, will the first candle be half the height of the second?

A.	^@3\space hours^@ and ^@16 \space minutes^@
B.	^@4\space hours^@ and ^@20 \space minutes^@
C.	^@1\space hours^@ and ^@15 \space minutes^@
D.	None of these

Find a natural number whose square diminished by 4 is equal to 4 times of 7 more than the given number.

A.	10
B.	8
C.	12
D.	5

Find the next term of the sequence ^@ 58, -17, -92, -167, -242, -317, -392, -467.^@

A.	^@ -692 ^@
B.	^@ -542 ^@
C.	^@ -617 ^@
D.	^@ -75 ^@

In the given figure, ^@ DE || BC^@ and ^@AD:DB = 11:9^@.



Find the ratio ^@ar(\Delta DFE):ar(\Delta CFB)^@.

A.	^@ 242 : 162 ^@
B.	^@122 : 81 ^@
C.	^@126 : 91 ^@
D.	^@ 121 : 400 ^@

Find the area of the triangle formed by joining the midpoints of the sides of the triangle whose vertices are ^@ A(8,-4)^@, ^@B(4,4)^@, and ^@C(12,8)^@.

A.	^@ 20{ \space } \text{ sq. unit }^@
B.	^@ 15{ \space } \text{ sq. unit }^@
C.	^@ 10 { \space } \text{ sq. unit }^@
D.	^@ \text{ None of these } ^@

If ^@ tan \theta = \dfrac { 9 } { 40 } ^@, find the value of ^@ cos\theta + \dfrac { sin\theta } { 1 + cot\theta } ^@.

A.	^@ \dfrac { 2041 } { 2009 } ^@
B.	^@ \dfrac { 2091 } { 2034 } ^@
C.	^@ \dfrac { 2061 } { 2024 } ^@
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 = 70^\circ ^@, find ^@\angle ATQ^@.

A.	^@ 35^\circ ^@
B.	^@ 55^\circ ^@
C.	^@ 55^\circ ^@
D.	^@ \text{ None of these } ^@

A.
B.
C.
D.

A chord of a circle of radius ^@ 42 \space cm ^@ subtends a right angle at the center. Find the area of the corresponding major segment.^@ \bigg[\pi = \dfrac { 22 } { 7 }\bigg] ^@

A.	^@ 504 \space cm^2 ^@
B.	^@ 754 \space cm^2 ^@
C.	^@ 5040 \space cm^2 ^@
D.	^@ \text { None of these } ^@

There is a cylindrical pen holder of height ^@ 10 \space cm^@ and diameter ^@ 13 \space cm^@. Now the pen holder is cut into two pieces such that the height of the new pen holder is reduced to ^@ \left(\dfrac{ 3 }{ 5 } \right)^{th} ^@ of the height. The diameter of the new pen holder remains the same. If the new pen holder is filled with water up to the brim, then find the amount of water held in liters. (Where ^@ \pi = 3.14 ^@)

A.	^@ 1.32665 \space l ^@
B.	^@ 13.2665 \space l ^@
C.	^@ 1326.65 \space l ^@
D.	^@ 132.665 \space l ^@

If the mean of the following data is 35.2, and the sum of all the frequencies is 100, then what is the value of y?

Class interval	0-10	10-20	20-30	30-40	40-50	50-60	60-70
Frequency	14	16	x	18	10	y	18

A.	14
B.	17
C.	11
D.	12

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

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

If ^@sin {\space} \theta + cos {\space} \theta = m ^@ and ^@sec {\space} \theta + cosec {\space} \theta = n^@, then ^@n(m^2 - 1)^@ is equal to:

A.	^@2m^@
B.	^@ 3m ^@
C.	^@ m ^@
D.	None of these

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 face opposite to face E?

A.	C
B.	E
C.	B
D.	A

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.	41
B.	40
C.	42
D.	44

Find the next term of given sequence ..
11, 18, 29, 44, 63, , ....

A.	80
B.	92
C.	172
D.	86

Which is the odd one out in this set
QM, QC, QW, QP

A.	QP
B.	QC
C.	QM
D.	QW

Select the figure from the options which satisfies the same conditions of placement of the dots as in the figure.

A.
B.
C.
D.