A person travels 7 km eastwards and then turns right and travels 3 km and further turns right and travels 13 km. What is the shortest distance of the present position of the person from his starting point

If a transversal intersects four parallel straight lines, then the number of distinct values of the angles formed will be

In a triangle PQR, point X is on PQ and point Y is on PR such that XP = 1.5 units, XQ = 6 units, PY = 2 units and YR = 8 units. Which of the following are correct

1. QR = 5XY
2. QR is parallel to XY.
3. Triangle PYX is similar to triangle PRQ.

Select the correct answer using the code given below.

Consider the following statements :

1. There exists a regular polygon whose exterior angle is 70⁰.
2. Let n≥5. Then the exterior angle of any regular polygon of n sides is acute.

Which of the above statements is/are correct

Consider the following statements :

1. If n ≥ 3 and m ≥ 3 are distinct positive integers, then the sum of the exterior angles of a regular polygon of m sides is different from the sum of the exterior angles of a regular polygon of n sides.
2. Let m, n be integers such that m > n≥3. Then the sum of the interior angles of a regular polygon of m sides is greater than the sum of the interior angles of a regular polygon of n sides, and their sum is (m+n)∏/2.

Which of the above statements is/are correct

A circular path is made from two concentric circular rings in such a way that the smaller ring when allowed to roll over the circumference of the bigger ring, it takes three full revolutions. If the area of the pathway is equal to n times the area of the smaller ring, then n is equal to