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

If 

where x, y and z are natural numbers, then what is z equal to

The expediture of a household for a certain month is INR 20000, out of which INR 8000 is spent on education, INR 5900 on food, INR 2800 on shopping and the rest on personal care. What percentage of expediture is spent on personal care