Quantitative Aptitude - Arithmetic Ability Questions

The largest 5 digit number exactly divisible by 89 is:

If secθ = cosecq with 0° < θ , q < 90°, then the value of sin (θ + q) is

If the simple interest on Rs. 1 for 1 month is 1 paisa, then the rate percent per annum will be

ΔABC and ΔDEF are two similar triangles and the perimeter of ΔABC and ΔDEF are 30 cm and 18 cm respectively. If length of DE = 36 cm, then length of AB is

If x = (√2 + 1)/(√2 – 1), then what is the value of (x5 + x4 + x2 + x)/x3 ?

If P = 7 + 4√3 and PQ = 1, then what is the value of 1/P2 + 1/Q2?

In the given figure, AP = 3cm, AR = 6cm and RS = 9cm, then what is the value (in cm) of PQ?

If x+y+z = 0, then what is the value of x23z+y33xz+z23x ?