The difference between the area of the circumscribed circle and the area of the inscribed circle of an equilateral triangle is 2156 sq. cm. What is the area of the equilateral triangle? Assume that π = 22/7

A square piece of paper is folded three times along its diagonal to get an isosceles triangle whose equal sides are 10 cm. What is the area of the unfolded original piece of paper?

A person standing on the ground at point A saw an object at point B on the ground at a distance of 600 meters. The object started flying towards him at an angle of 30° with the ground. The person saw the object for the second time at point C flying at 30° angle with him. At point…

a, b, c are integers, |a| ≠ |b| ≠ |c| and -10 ≤ a, b, c ≤ 10. What will be the maximum possible value of [abc - (a + b + c)]?

For two positive integers a and b, if (a + b)^(a+b) is divisible by 500, then the least possible value of a × b is:

Each day on Planet M is 10 hours, each hour 60 minutes and each minute 40 seconds. The inhabitants of Planet M use 10 hour analog clock with an hour hand, a minute hand and a second hand. If one such clock shows 3 hours 42 minutes and 20 seconds in a mirror what will be the time…

Pradeep could either walk or drive to office. The time taken to walk to the office is 8 times the driving time. One day, his wife took the car making him walk to office. After walking 1 km, he reached a temple when his wife called to say that he can now take the car. Pradeep figu…

Study the figure below and answer the question: (Figure: triangle ABD with C on AD between A and D, and segment BC.) [Figure: see page 17 of source PDF] Four persons walk from Point A to Point D following different routes. The one following ABCD takes 70 minutes. Another person t…

If a, b and c are 3 consecutive integers between -10 to +10 (both inclusive), how many integer values are possible for the expression? (a³ + b³ + c³ + 3abc) / (a + b + c)² = ?