Topics

General Knowledge
General Science
General English
Aptitude
General Computer Science
General Intellingence and Reasoning
Current Affairs
Exams
Elementary Mathematics
English Literature

The ratio of each interior angle to each exterior angle of a regular polygon is 3 : 1. The number of sides of the polygon is:

A) 8
B) 9
C) 6
D) 7

Correct Answer:

A) 8

Description for Correct answer:

Ratio of interior angle to exterior angle = 3 : 1

Exterior angle = \( \Large \frac{1}{ \left(3+1\right) \times 180 } \) = 45

No of sides of the polygon = \( \Large \frac{360 ^{\circ} }{45 ^{\circ} } \) = 8

Part of solved SSC Practice test(1) questions and answers : Exams >> SSC Exams >> SSC Practice test(1)

Comments

Similar Questions

1). lf \( tan \theta + cot \theta = 5 \), then \( tan^{2} \theta + cot^{2} \theta \) is:

A). 25

B). 26

C). 23

D). 24

2). Raj and Prem walk in opposite direction at the rate of 3 km and 2 km per hour respectively. How far will they be from each other after 2 hrs?

A). 2 km

B). 6 km

C). 8 km

D). 10 km

3). Two circles touch externally. The sum of their areas is 130 sq.cm and the distance between their centres is 14 cm. The radius of the smaller circle is:

A). 4 cm

B). 5 cm

C). 2 cm

D). 3 cm

4). If \( \Large x+\frac{1}{X}=1 \), then the value of \( \Large \frac{x^{2}+3x+1}{x^{2}+7x+1} \) is :

A). 2

B). 1

C). \( \Large \frac{1}{2} \)

D). \( \Large \frac{3}{7} \)

5). In a rhombus ABCD, \( \angle A = 60 ^{\circ} \) and AB =12 cm. Then the diagonal BD is :

A). 12 cm

B). 10 cm

C). \( 2\sqrt{3} cm \)

D). 6 cm

6). Given that \( x^{3}+y^{3} = 72 \) and x+y = 6 with x > y, then the value4 of x - y is :

A). -2

B). -4

C). 4

D). 2

7). The measures of two angles of a triangle is in the ratio 4 : 5. lf the sum of these two measures is equal to the measure of the third angle. Find the smallest angle

A). 10

B). 40

C). 90

D). 50

8). The average of 7,11,15,x,14,21,25 is 15, then the value of x is

A). 12

B). 13.3

C). 3

D). 14.5

9). A boat can travel with a speed of 13 km/hr in still water. lf the speed of stream is 4 km/hrl in the same direction, time taken by boat to go 63 km in opposite direction is:

A). \( \Large 3\frac{9}{17} \) hrs

B). 4hrs

C). 7 hrs

D). 9 hrs

10). ABC is a cyclic triangle and the bisectors of \( \angle BAC, \angle ABC AND \angle BCA \) meet the ircvler at P, Q and R respectively. Then the \( \angle RQP \) is

A). \( \Large 90 ^{\circ} -\frac{A}{2} \)

B). \( \Large 90 ^{\circ} + \frac{B}{2} \)

C). \( \Large 90 ^{\circ} - \frac{B}{2} \)

D). \( \Large 90 ^{\circ} + \frac{C}{2} \)