A number, when divided by ^@165^@, leaves ^@37^@ as the remainder. What will be the remainder when the same number is divided by ^@15^@?

A.	^@7^@
B.	^@4^@
C.	^@9^@
D.	^@6^@

If α and β are the zeros of polynomial x² - 12x + k, such that α² + β² = 74. Find the value of k.

A.	35
B.	28
C.	40
D.	30

Isra can row ^@15 \space km^@ downstream in ^@3 \space hours^@, and ^@9 \space km^@ upstream in ^@3 \space hours^@. The pair of equations, which correctly represents the word problem stated as above is

A.	^@u + v = 5 ^@ and ^@u - v = 3 ^@
B.	^@2u + v = 5^@ and ^@u - 2v = 3^@
C.	^@u + v = 6^@ and ^@u - v = 3^@
D.	^@2u + v = 6^@ and ^@u - 2v = 3^@

Phailin goes on a vacation with ฿1440 for her expenses. If she extends her vacation by 4 days, she has to cut down her daily expenses by ฿4. Find the original duration of her vacation.

A.	34 days
B.	36 days
C.	35 days
D.	38 days

If the n^th term of an arithmetic progression is given by 8 + 6n, then what is the sum of the first 32 terms of the AP?

A.	3414
B.	3424
C.	3421
D.	3426

In the adjoining figure, ^@ S ^@ and ^@ T ^@ are points on the sides ^@PQ ^@ and ^@ PR ^@ respectively of ^@ \Delta PQR ^@ such that ^@ PT = 3 \space cm^@, ^@TR = 9 \space cm^@ and ^@ ST ^@ is parallel to ^@ QR ^@. Find the ratio of the areas of ^@ \Delta PST ^@ and ^@ \Delta PQR ^@.

A.	^@ 3 : 18 ^@
B.	^@ 1 : 16 ^@
C.	^@ 2 : 16 ^@
D.	None of these

Find the area of ^@ \Delta ABC ^@ whose vertices are ^@A(-1,-3)^@, ^@B(10,2)^@, and ^@C(7,-5)^@.

A.	^@ 21{\space} \text{sq.units}^@
B.	^@ 23{\space} \text{sq.units}^@
C.	^@ 31 {\space}\text{sq.units}^@
D.	^@ 26{\space} \text{sq.units}^@

If ^@ cos 14x = sin x ^@ and ^@ 14x < 90^\circ,^@ find the value of ^@sin 10x.^@

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

In the given figure, ^@ PQ ^@ is a chord of a circle with centre ^@ O ^@ and ^@ PT ^@ is a tangent at point ^@ P ^@. If ^@\angle QPT ^@ = ^@ 41^\circ ^@, find ^@ \angle PRQ ^@.

A.	^@ 144^\circ ^@
B.	^@ 139^\circ ^@
C.	^@ 41^\circ ^@
D.	^@ \text{ None of these } ^@

A.
B.
C.
D.

To warn ships for underwater rocks, a lighthouse throws a red colored light over a sector of angle ^@ 150^\circ ^@ to a distance of ^@ 2.1 \space km^@. Find the area of the sea over which the ships are warned. ^@ \bigg( ^@ Use ^@ \pi = \dfrac { 22 } { 7 } \bigg)^@

A.	^@ 5.5 \space km^2 ^@
B.	^@ 1.84 \space km^2 ^@
C.	^@ 5.78 \space km^2 ^@
D.	^@ \text { None of these } ^@

Thurian made a bird-bath for his garden in the shape of a cylinder with a hemispherical depression at one end. If the height of the cylinder is 150 cm and its radius is 91 cm. Choose the correct total surface area of the bird-bath. (Take π = 22/7)

A.	137852
B.	52052
C.	85800
D.	None of these

Find the median of the following data

Class interval	100-110	110-120	120-130	130-140	140-150
Frequency	12	8	11	10	29

A.	134
B.	129
C.	144
D.	124

There are 3 hats belonging to 3 students. The hats were put into a box, and each student pulls out a hat one after the other. What is the probability that each student gets his or her own hat?

A.	1 2
B.	1 6
C.	3 3
D.	2 6

Solve for ^@x^@ and ^@y^@ by using the elimination method. @^\begin{aligned} & \dfrac { c x } { d } - \dfrac { d y } { c } = c + d \\ & c x - d y = 2 c d \end{aligned}@^

A.	^@x = d \text{ and } y = - c + 1^@
B.	^@x = c \text{ and } y = - d^@
C.	^@x = d \text{ and } y = - c^@
D.	^@x = d + 1 \text{ and } y = - c^@

Faces of a cube are marked with A,B,C,D,E and F. Two views of the cube are as shown below, if face B is opposite to face D, what will be there on the face opposite to face F?

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

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

A.
B.
C.
D.

Find the next term of given sequence ..
352, 311, 270, 229, 188, 147, 106, ....

A.	24
B.	69
C.	58
D.	65

Which is the odd one out in this set:
FMT, RYH, JQZ, KRA

A.	KRA
B.	JQZ
C.	RYH
D.	FMT

Six friends A, B, C, D, E and F are sitting in a circle facing the center. B is not between E and F but some other one. C is next to the left of A. D is 4^th to right of C. Which of the following statements is not true?

A.	A is just next to the right of C
B.	D is second to the left of C
C.	C is just next to the left of A
D.	E is second to the right of D