Quantitative Aptitude - Arithmetic Ability Questions

Chords PQ and RS of a circle extended externally intersect at point T. Length of the segment PT, if lengths of QT, RT and ST are 9 cm, 18 cm and 6 cm respectively, is

A sum of Rs 2489 is divided among A, B and C such that if Rs 12, Rs 12 and Rs 5 be diminish from the shares of A, B and C respectively, then theirshares will be in the ratio of 5 : 3 : 4. What is the new share (in Rs) of C?

If a3 + b3 = 28 and a + b = 4, then what is the value of ab?

If cosθ1-sinθ+cosθ1+sinθ = 4, then the value of θ (0°<θ<90°)?

If 3n = 2187, then the value of n is:

The value of sec217°-1tan273°-sin17°sec73°

There are 8 equidistant points A, B, C, D, E, F, G and H (in same order) on a circle. What is the value of ∠FDH (in degrees)?

What is the value of 34+122 ?