Quantitative Aptitude - Arithmetic Ability Questions

The order of rotational symmetry of a trapezium is

From the top of a platform 5 m high, the angle of elevation of a tower was 30 deg. If the tower was 45 m high, how far away from the tower was the platform positioned?

For real a, b and c if a2 + b2 + c2 = ab + bc + ca, then find the value of a+b+c2.

If tanα = 2 - 1, then the value of  tanα - cotα = ?

ΔDEF is right angled at E. If m∠F = 30 deg, then find the value of (sinD - 1/3).

The point equidistant from the sides of a triangle is called

The length of the two adjacent sides of a rectangle inscribed in a circle are 5 cm and 12 cm respectively. Then the radius of the circle will be

A natural number, when divided by 4, 5, 6 or 7, leaves a remainder of 3 in each case. What is the smallest of all such numbers?