Quantitative Aptitude - Arithmetic Ability Questions

The diagonals are not perpendicular in a _____.

The total surface area of a hemisphere is 462 sq.cm. Find its diameter (in cm).

The ratio of angles of a triangle are 1 : 2/3 : 3. Then the smallest angle is

Mohan starts to calculate sum of all odd natural number less than 83. What result does he get?

What is the obtuse angle formed by the hands of a clock when the time in the clock is 2:30?

T is a point on the common tangents at P of two circles and if TA and TB are resectively the other tangents at A and B to the two circles drawn from the point T then

ΔABC is a right angled triangle, the radius of its circumcircle is 3 cm and the length of its altitude drawn from the opposite vertex to the hypotenuse is 2 cm. Then the area of the triangle is

ΔPQR is right angled at Q. If cosecP = 25/24, then what is the value of cotR ?