A number, when divided by 87 gives 65 as the quotient and 81 as the remainder. Find the number.

A.	5746
B.	5736
C.	5655
D.	None of these

If one zero of the polynomial $(s^2 + 4)a^2 + 16 a + 4s$ is reciprocal of the other, what is the value of $s$ ?

A.	$2$
B.	$1$
C.	$4$
D.	$3$

What can be said about the solutions of the pair of equations y = -6 and y = 2?

A.	no solution
B.	infinitely many solutions
C.	a unique solution
D.	two solutions

Trains A and B leave station at the same time. Train A travels in West direction and train B travels in North direction. Train A is 2 km/hour slower than train B. After 5 hours, trains are 290 km apart. Find the speed of both trains.

A.	36 km/hour and 38 km/hour
B.	40 km/hour and 42 km/hour
C.	32 km/hour and 34 km/hour
D.	44 km/hour and 46 km/hour

The sum of four numbers (ascending order) in AP is $52$ and the sum of their squares is $8676$. Find the numbers.

A.	$-47, -7, 33, \text{ and } 73$
B.	$-37, 3, 43, \text{ and } 83$
C.	$-42, -2, 38, \text{ and } 78$
D.	None of these

In the given figure, $MN \parallel QR$. Find the length of $PN$.

A.	$2.7 \space cm$
B.	$1.2 \space cm$
C.	$2.2 \space cm$
D.	$\text{None of these}$

Find the coordinates of a point $P$ on the line segment joining $A(21, 28)$ and $B(35, 7)$ such that $AP = \dfrac 37 AB$.

A.	$(27, 19)$
B.	$(37, 29)$
C.	$(32, 24)$
D.	None of these

Find the value of $\dfrac { sin \space \gamma } { cos \space \gamma }$.

A.	$cot \space \gamma$
B.	$tan \space \gamma$
C.	1
D.	None of these

A tangent $PQ$ at a point $P$ of a circle of radius $15 \space cm$ meets a line through the center $O$ at a point $Q$ such that $OQ = 23 \space cm$. What is the length of $PQ$ ?

A.	$19.44 \space cm$
B.	$22.44 \space cm$
C.	$17.44 \space cm$
D.	$\text{ None of these }$

A.
B.
C.
D.

An umbrella has $8$ ribs which are equally spaced as given in the figure. Assuming the umbrella to be a flat circle of radius $28 \space cm$, find the area between two consecutive ribs of the umbrella.$\bigg[ \pi = \dfrac { 22 } { 7 } \bigg]$

A.	$308 \space cm^2$
B.	$558 \space cm^2$
C.	$408 \space cm^2$
D.	$\text { None of these }$

A solid metallic right circular cone $18 \space cm$ high and whose vertical angle is $60^\circ$ is cut into two parts at the middle point of its height by a plane parallel to the base. If the frustum, so obtained, be drawn into a wire of diameter $\dfrac { 1 } { 8 } \space cm$, find the length of the wire.

A.	$145152 \space cm^3$
B.	$108 \space cm^3$
C.	$1701 \space cm^3$
D.	$112 \space cm^3$

The distribution of IQ among a set of students is given below. What is their median IQ?

Class interval	88-96	96-104	104-112	112-120	120-128
Frequency	11	17	21	20	35

A.	113.2
B.	103.2
C.	118.2
D.	108.2

One card is drawn at random from a well-shuffled deck of 52 playing cards. Find the probability that the card drawn is either a black card or a queen.

A.	$\dfrac { 6 } { 13 }$
B.	$\dfrac { 5 } { 13 }$
C.	$\dfrac { 3 } { 13 }$
D.	$\dfrac { 7 } { 13 }$

$\dfrac{ \cos^2 10 ^\circ + \cos^2 80 ^\circ } { \sin^2 10 ^\circ + \sin^2 80 ^\circ } + \cos (10 ^\circ + \theta ) - \sin (80 ^\circ - \theta )$ = ?

A.	$1$
B.	$-1$
C.	$sin\theta + cos\theta$
D.	$sin\theta cos\theta$

Faces of a cube are marked with 1,2,3,4,5 and 6. If two views of cube are as shown below, what will be there on the face opposite to face 2 ?

A.	6
B.	5
C.	4
D.	Cannot be determined

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

A.	4
B.	6
C.	2
D.	5

Find the next term of given sequence ..
11, 22, 39, 62, 91, , ....

A.	122
B.	252
C.	126
D.	131

Which is the odd one out in this set:
HOX, VCL, WDL, PWF

A.	VCL
B.	HOX
C.	PWF
D.	WDL

Find the next term of given sequence ..
5, 13, 25, 41, 61, ....

A.	77
B.	92
C.	91
D.	85