Question : The ratio between the number of sides of two regular polygons is 1 : 2 and the ratio between their interior angles is 2 : 3. The number of sides of these polygons is respectively:
Option 1: 6, 12
Option 2: 5, 10
Option 3: 4, 8
Option 4: 7, 14
Latest: SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL complete guide
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: 4, 8
Solution : Given, The ratio between the number of sides of two regular polygons = 1 : 2 And, the ratio between their interior angles = 2 : 3 Let the number of sides be $n$ and $2n$ respectively in two regular polygons. For a regular polygon, interior angle = $\frac{180^\circ\times (n-2)}{n}$ So, $\frac{(n-2)\times 180^\circ}{n}\div\frac{(2n-2)\times 180^\circ}{2n} = \frac{2}{3}$ Or, $\frac{2n-4}{4n-4}=\frac{1}{3}$ Or, $n=4$ and, $2n = 8$ Hence, the correct answer is 4, 8.
Candidates can download this ebook to know all about SSC CGL.
Answer Key | Eligibility | Application | Selection Process | Preparation Tips | Result | Admit Card
Question : Two regular polygons are such that the ratio between their number of sides is 1 : 2 and the ratio of measures of their interior angles is 3 : 4. Then the number of sides of each polygon is:
Question : The sum of the interior angles of a regular polygon A is 1260 degrees and each interior angle of a regular polygon B is $128 \frac{4}{7}$ degrees. The sum of the number of sides of polygons A and B is:
Question : If one of the interior angles of a regular polygon is $\frac{15}{16}$ times of one of the interior angles of a regular decagon, then find the number of diagonals of the polygon.
Question : If the sum of the measures of all the interior angles of a polygon is 1440$^\circ$, find the number of sides of the polygon.
Question : $A_1$ and $A_2$ are two regular polygons. The sum of all the interior angles of $A_1$ is $1080^{\circ}$. Each interior angle of $A_2$ exceeds its exterior angle by $132^{\circ}$. The sum of the number of sides $A_1$ and $A_2$ is:
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile