Quantitative Aptitude - Arithmetic Ability Questions

ΔXYZ is similar to ΔPQR. If ratio of perimeters of ΔXYZ : ΔPQR is 3:2 and if PQ = 6 cm then what is the length of XY (in cm)?

If 3√2 + √18 + √50 = 15.55, then what is the value of √32 + √72?

If x2 – 16x – 59 = 0, then what is the value of (x – 6)2 + [1/(x – 6)2]?

√(1 + tan2A)/tanA is equal to

If Sinθ = √3/2 and 0°<θ<90°, then the value of tan(θ-15°) is

9 hrs after a goods train passed a station, another train travelling at a speed of 72 km/hr following that goods train passed through that station. If after passing the station the train overtakes the goods train in 3 hours. What is the speed of the goods train?

The time taken by a train 160 m long, running at 72 km/hr, in crossing an electric pole is

What is the value of sec -2π/3 ?