Find the smallest number which when increased by 17 is exactly divisible by both 120 and 140.

A.	20
B.	852
C.	823
D.	840

Find the sum of the roots of the quadratic equation x² + 7x + 6 = 0

A.	-6
B.	-7
C.	-5
D.	-9

A lending library has a fixed charge for the first $40{\space} days$ and an additional charge for each day thereafter. Brian paid $€ 61$ for a book he kept for $90{\space}days$ while Elli paid $€ 31$ for the book she kept for $60{\space} days$. Find the fixed charge and the charge for each extra day.

A.	$€ {\space}11 , € {\space}1$
B.	$€ {\space}12 , € {\space}3$
C.	$€ {\space}13 , € {\space}5$
D.	$€ {\space}14 , € {\space}6$

The perimeter of a rectangular field is $110 \space m$ and its area is $726 \space m^2$. Find the dimensions of the field.

A.	$29 \space m, 27 \space m$
B.	$33 \space m, 22 \space m$
C.	$33 \space m, 24 \space m$
D.	$35 \space m, 22 \space m$

The sum of all the terms of the arithmetic progression 6, -5, -16, -27, ... is -8340. How many terms are there in this AP?

A.	42
B.	40
C.	37
D.	38

A man goes $27 \space m$ due west and then $27 \space m$ due north. How far is he from the starting point? (Solve answer upto 2 decimal places.)

A.	$39.76 \space m$
B.	$38.18 \space m$
C.	$45.06 \space m$
D.	$35.54 \space m$

The three vertices of a parallelogram $ABCD$ taken in order are $A(-6,4)$, $B(-2, 4)$ and $C(-4, 0)$. Find the coordinates of the fourth vertex $D$.

A.	$(-4, 4)$
B.	$(-3, 5)$
C.	$(-8, 0)$
D.	$(-6, 2)$

If $cot \theta = \dfrac { 12 } { 5 }$, find the value of $\dfrac { 3 {\space} cot \theta + 7 {\space} tan \theta} { 5 {\space} cosec\theta + 10 {\space} sec\theta }$ .

A.	$\dfrac { 647 } { 1450 }$
B.	$\dfrac { 607 } { 1430 }$
C.	$\dfrac { 602 } { 1420 }$
D.	None of these

$AP$ and $BP$ are the two tangents at the extremities of chord $AB$ of a circle. $\angle MAP$ is equal to:

A.	$\angle MBP$
B.	$\angle MPB$
C.	$\angle APM$
D.	$\angle APB$

A.
B.
C.
D.

The difference between circumference and diameter of a circular plot is $39 \space m$. Find the area of the circular plot. $\left( \text{Assume } \pi = \dfrac{ 22 }{ 7 } \right)$

A.	$260.26 \space m^2$
B.	$1821.82 \space m^2$
C.	$82.81 \space m^2$
D.	$28.6 \space m^2$

A wooden toy rocket is in the shape of a cone mounted on a cylinder as shown in the figure. The height of the entire rocket is $37 \space cm,$ while the height of the conical part is $29 \space cm.$ The base of the conical portion has a diameter of $16 \space cm,$ which the base diameter of the cylindrical portion is $11 \space cm.$ If the conical portion is painted orange, find the area of the rocket painted with orange colours.

A.	$861.58 \space cm^2$
B.	$274.39 \space cm^2$
C.	$131.1 \space cm^2$
D.	$869.01 \space cm^2$

Find the median of the following data

Class interval	100-110	110-120	120-130	130-140	140-150
Frequency	12	10	11	10	27

A.	127
B.	122
C.	137
D.	132

A box contains 6 yellow and 7 green balls. Anton takes out a ball, puts it back, and then takes out another ball. What is the probability that both balls were yellow?

A.	36 169
B.	36 91
C.	6 169
D.	6 13

If $sin \theta = \dfrac { 5 } { 13 }$. Find the value of $\sqrt { 3 + \dfrac { 5 cosec^2 \theta - sin^2 \theta } { 10 sin^2 \theta + cosec^2 \theta } }$.

A.	$\sqrt { \dfrac { 246628 } { 34816 } }$
B.	$\sqrt { \dfrac { 246623 } { 34823 } }$
C.	$\sqrt { \dfrac { 246613 } { 34811 } }$
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 top when B is at the bottom?

A.	D
B.	A
C.	F
D.	B

Which of following shows relation between Fruits, Banana and Guava.

A.
B.
C.
D.

Find the missing number.

7	2	12
8	4	13
29	10	?

A.	49
B.	55
C.	36
D.	62

Which of the following options represents the next two terms in the series?
F, V, H, R, J, N, L, J, ___, ____

A.	M, E
B.	M, F
C.	N, F
D.	O, E

Find the next term of given sequence ..
$5, 21, 85, 341, 1365, 5461, ....$

A.	21838
B.	21845
C.	21852
D.	21846