A number, when divided by 79 gives 67 as the quotient and 27 as the remainder. Find the number.

A.	5293
B.	5330
C.	5320
D.	None of these

If ^@\alpha, \beta, \gamma^@ are the zeroes of a polynomial ^@P(x) = ax^3 + bx^2 + cx + d(a \ne 0)^@ then ^@\dfrac{1}{ \alpha } + \dfrac{1}{ \beta } + \dfrac{1}{ \gamma } = ^@ .....

A.	^@-\dfrac{b}{c}^@
B.	^@-\dfrac{c}{d}^@
C.	^@-\dfrac{c}{a}^@
D.	^@-\dfrac{b}{a}^@

In a ^@\triangle VWX, \angle X = 6W = 5(V + W).^@ The value of ^@\angle V ^@ is:

A.	^@150^\circ^@
B.	^@25^\circ^@
C.	^@5^\circ^@
D.	^@67^\circ^@

Trains A and B leave station at the same time. Train A travels in South direction and train B travels in West direction. Train A is 20 km/hour slower than train B. After 5 hours, trains are 500 km apart. Find the speed of both trains.

A.	48 km/hour and 68 km/hour
B.	54 km/hour and 74 km/hour
C.	66 km/hour and 86 km/hour
D.	60 km/hour and 80 km/hour

If ^@x \ne y^@ and the sequences ^@x, a _1, a _2, y^@ and ^@x, b _1 , b _2, y^@ each are in ^@A.P.^@, then ^@\left(\dfrac{ a _2 - a _1 } { b _2 - b _1 }\right)^@ is

A.	^@1^@
B.	^@y - 3^@
C.	^@3^@
D.	^@0^@

Sides of some triangles are given below. Determine which of them does not represent the correct sides of a right-angled triangle.

A.	46 cm, 4 cm, and 50 cm
B.	24 cm, 70 cm, and 74 cm
C.	63 cm, 216 cm, and 225 cm
D.	15 cm, 8 cm, and 17 cm

Find the coordinates of a point ^@P^@ on the line segment joining ^@A(21, 28)^@ and ^@B(7, 35)^@ such that ^@ AP = \dfrac 27 AB ^@.

A.	^@(27, 40)^@
B.	^@(17, 30)^@
C.	^@(22, 35)^@
D.	None of these

Simplify cos³θ sin³(90°-θ) + sin³θ cos³(90°-θ) + 3 cos²θ sin²θ

A.	1
B.	sinθ cosθ
C.	tanθ + cotθ
D.	1 - sinθ cosθ

In the given figure, AB is the diameter of a circle with center ^@O^@ and ^@AT^@ is a tangent. If ^@\angle AOQ = 81^\circ ^@, find ^@\angle ATQ^@.

A.	^@ 49.5^\circ ^@
B.	^@ 52^\circ ^@
C.	^@ 42.5^\circ ^@
D.	^@ \text{ None of these } ^@

A.
B.
C.
D.

Find the area of the major sector of a circle with radius ^@5 \space cm^@ when the angle subtended by the minor arc is ^@45^\circ^@.(Use ^@\pi = 3.14^@)

A.	^@ 21.88 \space cm^2 ^@
B.	^@ 68.69 \space cm^2 ^@
C.	^@ 315 \space cm^2 ^@
D.	^@ \text { None of these } ^@

Chen received the shoes ordered through Amazon in a carton having a dimension in such a way that the breadth is ^@ 4 \space cm ^@ less than the height and the height is ^@ 4 \space cm ^@ less than the length. He found the surface area of the carton as ^@3142 \space cm^2.^@ Then what would be the dimension of the carton?

A.	^@ 27 \space cm \times 23 \space cm \times 23 \space cm^@
B.	^@ 28 \space cm \times 19 \space cm \times 23 \space cm^@
C.	^@ 27 \space cm \times 19 \space cm \times 25 \space cm^@
D.	^@ 27 \space cm \times 19 \space cm \times 23 \space cm^@

Find the mean of the following data

Class interval	0-10	10-20	20-30	30-40	40-50
Frequency	20	16	14	20	30

.

A.	27.4
B.	17.4
C.	37.4
D.	32.4

A poll is taken among ^@10000^@ people working in Jiujiang. The aim was to see what their annual salaries were.

Annual Salary	Number of people
Less than ^@¥40000^@	^@180^@
^@¥40001^@ to ^@¥75000^@	^@600^@
^@¥75001^@ to ^@¥150000^@	^@1020^@
^@¥150001^@ to ^@¥250000^@	^@3280^@
More than ^@¥250000^@	^@4920^@

If you choose a person at random from this group, what is the probability that he or she earns more than ^@¥40000^@ annually?

A.	^@\dfrac { 491 } { 500 }^@
B.	^@ \dfrac { 500 } { 500 }^@
C.	^@ \dfrac { 502 } { 500 }^@
D.	^@ \dfrac { 507 } { 500 }^@

If the mean of the following data is 22.2, find the value of x.

Class interval	0-10	10-20	20-30	30-40	40-50
Frequency	x	24	16	12	20

A.	31
B.	30
C.	22
D.	28

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.	C
B.	B
C.	F
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.	44
B.	42
C.	41
D.	45

Find the next term of given sequence ..
11, 11, 14, 22, 37, 61, ....

A.	92
B.	96
C.	120
D.	132

Which of the following is the next terms in the series given below?
DX, HV, LT, PR, ___

A.	TP
B.	SP
C.	SO
D.	UO

Find the missing term.

A.	123
B.	124
C.	121
D.	122