How many prime factors are there in the prime factorization of 12375 ?

A.	2
B.	3
C.	4
D.	5

If one zero of the polynomial $(t^2 + 25)a^2 + 250 a + 10t$ is reciprocal to the other, what is the value of $t$ ?

A.	$6$
B.	$4$
C.	$25$
D.	$5$

Find the four angles of a cyclic quadrilateral ABCD in which $\angle$A = (2x - 7)$^\circ$, $\angle$B = (2x + 20)$^\circ$, $\angle$C = (y + 31)$^\circ$ and $\angle$D = (2y - 72)$^\circ$.

A.	$\angle$A = 73$^\circ, \angle$B = 108$^\circ, \angle$C = 107$^\circ,$ and $\angle$D = 72$^\circ$
B.	$\angle$A = 81$^\circ, \angle$B = 100$^\circ, \angle$C = 99$^\circ,$ and $\angle$D = 80$^\circ$
C.	$\angle$A = 73$^\circ, \angle$B = 92$^\circ, \angle$C = 107$^\circ,$ and $\angle$D = 88$^\circ$
D.	$\angle$A = 73$^\circ, \angle$B = 100$^\circ, \angle$C = 107$^\circ,$ and $\angle$D = 80$^\circ$

How many integers satisfy the inequality x² - 15 x < - 44.

A.	7
B.	4
C.	6
D.	8

The nth term of an arithmetic progression is given by the equation 5 + 7n. What is the sum of the first 30 terms of this AP?

A.	3407
B.	3402
C.	3406
D.	3405

A triangle with measurements $a = \sqrt{m} - 1$, $b = 2m^{ \dfrac{1}{4} }$ and $c = \sqrt{m} + 1$ is

A.	Equilateral triangle
B.	Right-angled triangle
C.	Right-angled isosceles
D.	Isosceles

The values of $t$, if the area of the pentagon $ABCDE$ be $\dfrac{ 40 }{ 2 }$ sq. units where $A = (1, 5)$, $B = (-2, 5)$, $C = (-2, -1)$, $D = (0, -3)$ and $E = (2, t)$ are

A.	$-17$ or $9$
B.	$-17$ or $-9$
C.	$17$ or $9$
D.	$17$ or $-9$

$cos (A + B) = \dfrac{ 1 } { \sqrt{ 2 } }$ and $sin (A - B) = \dfrac{ 1 }{ 2 }$

If $0^\circ < (A+B) \le 90^\circ$ and $A > B,$ find value of $B.$

A.	$12.5^\circ$
B.	$10^\circ$
C.	$2.5^\circ$
D.	$7.5^\circ$

In the given figure, $AB$ is a chord of length $14 \space cm$ of a circle with center $O$ and radius $10 \space cm$. The tangents at $A$ and $B$ intersect at $P$. What is the length of $PA$?

A.	$14.8 \space cm$
B.	$9.8 \space cm$
C.	$98 \space cm$
D.	$\text{None of these}$

A.
B.
C.
D.

The radii of two circles are $9 \space cm$ and $12 \space cm$ respectively. Find the radius of the circle having its area equal to the sum of the areas of the two circles.

A.	$225 \space cm$
B.	$81 \space cm$
C.	$15 \space cm$
D.	$\text { None of these }$

A tent of height 19.4 m is in the form of a right circular cylinder of diameter 12 m and height 15.6 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.239 per m² is Rs.

A.	172712.97
B.	133.89
C.	172612.97
D.	None of these

Compare the modal salary of two groups of employees in a company.

$\begin{align} \text { Salary (in thousands) } \end{align}$ $120 - 124$ $124 - 128$ $128 - 132$ $132 - 136$ $136 - 140$ $\begin{align} \text { Group A } \end{align}$ $75$ $12$ $114$ $15$ $46$ $\begin{align} \text { Group B } \end{align}$ $44$ $66$ $7$ $123$ $44$

A.	$($modal salary of group $A)>($modal salary of group $B).$
B.	$($modal salary of group $A)=($modal salary of group $B).$
C.	$($modal salary of group $A)$$<$$($modal salary of group $B).$
D.	None of these

According to a meteorological report for $350$ consecutive days in a year, its weather forecasts were correct $77$ times.
Out of these days, one day is chosen at random.
What is the probability that the weather forecast was not correct on that day?

A.	$0.22$
B.	$0.32$
C.	$0.78$
D.	$1$

A circle is touching the side $BC$ of $\triangle ABC$ at $P$ and touching $AB$ and $AC$ produced at $Q$ and $R$ respectively. Which of the following hold true?

A.	$AQ = \text{ Perimeter of } \triangle ABC$
B.	$AQ = \dfrac { 1 }{ 2 } \text{(Perimeter of } \triangle ABC)$
C.	$AQ = \dfrac { 1 } { 4 } \text{(Perimeter of } \triangle ABC)$
D.	$\text{ None of these }$

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 bottom when A is at the top?

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

Following chart shows number of students in a school who got distinction in one of three subjects. Find the number of students who got distinction in History and English.

A.	32
B.	31
C.	29
D.	36

Find the next term of given sequence ..
$4, 18, 74, 298, 1194, 4778, ....$

A.	19110
B.	19120
C.	19114
D.	19116

Which is the odd one out in this set:
KBK, NBO, FCI, NAG

A.	NAG
B.	KBK
C.	FCI
D.	NBO

Find the missing number

8	3	11
36	21	?

A.	57
B.	33
C.	45
D.	52