If the HCF of two numbers, a & b, is 24 and their LCM is 216, then what will be the value of a × b ?

A.	5424
B.	5184
C.	240
D.	None of these

Find a quadratic polynomial whose zeros are reciprocals of the zeros of the polynomial ^@x^2-2x-3^@.

A.	^@ k[x^2 - \dfrac { 2 } { 3 } x + \dfrac { 1 } { 3 } ] ^@
B.	^@ k[x^2 + \dfrac { 2 } { 3 } x + \dfrac { 1 } { 3 } ] ^@
C.	^@ k[x^2 - \dfrac { 2 } { 3 } x - \dfrac { 1 } { 3 } ] ^@
D.	^@ k[x^2 + \dfrac { 2 } { 3 } x - \dfrac { 1 } { 3 } ] ^@

In the given figure, ^@ABCDE^@ is a pentagon with ^@BE\parallel CD^@ and ^@BC \parallel ED^@. ^@BC^@ is perpendicular to ^@CD^@. If the perimeter of ^@ABCDE^@ is ^@20 \space cm^@. Find the value of ^@x^@ and ^@y^@.

A.	^@x = 4, y = 2^@
B.	^@x = 8, y = 6^@
C.	^@x = 6, y = 8^@
D.	^@x = 2, y = 4^@

Let ^@\alpha^@ and ^@\beta^@ be the roots of the quadratic equation ^@x^2 + 2 bx + b = 7^@. What is the smallest possible value of ^@(\alpha - \beta)^2^@ ?

A.	^@37^@
B.	^@27^@
C.	^@29 ^@
D.	^@26 ^@

If the sequence 6, -3, -12,..., -246 forms an arithmetic progression, then how many terms are there in this sequence?

A.	30
B.	31
C.	26
D.	29

If ^@\dfrac{ BD }{ DC } = \dfrac{ AB }{ AC }^@, then what is the value of ^@\angle BAD^@?

A.	^@35^\circ^@
B.	^@45^\circ^@
C.	^@60^\circ^@
D.	^@65^\circ^@

If the points ^@A(28,-35)^@, ^@B(b,c)^@, and ^@C(4,-29)^@ are collinear and ^@6b + c = -189^@, find the values of ^@b^@ and ^@c^@.

A.	^@ -28 \text{ and } -21 ^@
B.	^@ -22 \text{ and } -15 ^@
C.	^@ -26 \text{ and } -19 ^@
D.	^@ -24 \text{ and } -17 ^@

What is the value of ^@\dfrac { 1 } { cosec \space \alpha} ^@ ?

A.	^@ sin \space \alpha ^@
B.	^@ sec \space \alpha ^@
C.	^@ cot \space \alpha ^@
D.	^@ cosec \space \alpha ^@

Two tangents ^@ PA ^@ and ^@ PB ^@ are drawn to a circle with center ^@ O ^@ from an external point ^@ P ^@, then ^@ \angle APB ^@ is equal to:

A.	^@ 3 \angle OAB ^@
B.	^@ 2 \angle OAB ^@
C.	^@ \angle OAB ^@
D.	^@ \angle PAB ^@

A.
B.
C.
D.

Find the difference between the area of a regular hexagonal plot each of whose side is ^@ 40 \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.	^@ 7928.01 \space m^2 ^@
B.	^@ 3771.21 \space m^2 ^@
C.	^@ 385.59 \space m^2 ^@
D.	^@ \text { None of these } ^@

A tent of height 20.5 m is in the form of a right circular cylinder of diameter 12 m and height 16.6 m, surmounted by a right circular cone of the same diameter, then the cost of the canvas of the tent at the rate of Rs.345 per m² is Rs.

A.	262672.6
B.	135.02
C.	262572.6
D.	None of these

A survey regarding the height of the plants was conducted and the following table was obtained.

^@ \begin{align} \text { Height (in cm) } \end{align}^@ ^@ 8 - 17^@ ^@ 18 - 27^@ ^@ 28 - 37^@ ^@ 38 - 47^@ ^@ 48 - 57^@ ^@ 58 - 67^@ ^@ \begin{align} \text { Number of plants } \end{align}^@ ^@19^@ ^@22^@ ^@8^@ ^@10^@ ^@25^@ ^@17^@

Which of the following option is correct.

A.	^@\text { mode } = \text { mean } ^@
B.	^@\text { mode } < \text { mean } ^@
C.	^@\text { mode } > \text { mean } ^@
D.	^@\text{None of these}^@

Arzoo selects 3 numbers randomly from the following set of 5 numbers 2, 12, 11, 5 and 8.
She puts them in the form of a proper fraction of the type  

a	b
	c

 .
What is the probability that you will get a fraction greater than  

5	20
	21

 ?

A.	18 30
B.	12 30
C.	24 36
D.	12 36

A family has 300 kg of rice for x number of weeks. If they need to use same amount of rice for 3 more weeks, they need to cut down their weekly consumption of rice by 5 kgs. Find value of x.

A.	13 weeks
B.	12 weeks
C.	14 weeks
D.	11 weeks

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

A.	C
B.	B
C.	F
D.	Cannot be determined

In this diagram, the triangle represents women, the square represents doctors and the circle represents sports persons. Find the number of doctors who are not sports persons.

A.	1
B.	7
C.	2
D.	8

Find the missing number.

8	4	12
7	3	10
31	15	?

A.	36
B.	53
C.	56
D.	46

Which of the following fills the blank in the series below:
^@ C, WV, GH, \underline{\hspace{.30in}}, KLMN, ONMLK. ^@

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

Find the next term of given sequence ..
^@6, 19, 58, 175, 526 , ....^@

A.	^@1586^@
B.	^@1580^@
C.	^@1572^@
D.	^@1579^@