Quantitative Aptitude - Arithmetic Ability Questions

O is an centre of a circle. P is an external point of it at distance of 13cm from O. The radius of the circle is 5cm. Then the length of a tangent to the circle from P upto the point of contact is

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

Two circles touch each other at point X. Two common tangents of the circles meet at point P and none of the tangents passes through X. These tangents touch the larger circle at points B and C. If the radius of the larger circle is 15 cm and CP = 20 cm, then what is the radius (in cm) of the smaller circle?

If the 3rd and the 5th term of an arithmetic progression are 13 and 21, what is the 13th term?

Which of the following ratio correctly depicts the division of each median of the triangle by the centroid?

If the ∠ABC and ∠ACB of triangle ABC is 80 deg and 60 deg respectively. If the Incenter of the triangle is at point ‘I’ then calculate angle BIC.

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

A solid right circular cone of radius 10 cm and height 8 cm is put inside a cylindrical vessel of radius 11 cm and height 9 cm. How much water in cubic cm will be required to fill the cylindrical vessel completely?