Quantitative Aptitude - Arithmetic Ability Questions

Which of the following numbers will have an irrational square root?

∆PQR is right angled at Q. If m∠R = 45°, then find the value of (cosecP - √3/2)

Manish, Mukesh and Sachin are Accountants. Mukesh can filea return in 5 hours and Sachin in 4 hours alone. All three together can do it in 2 hours. In what time (in hrs) will Manish do the work?

PQRS is a cyclic quadrilateral and PQ is the diameter of the circle. If ∠RPQ = 38°, then what is the value (in degrees) of ∠PSR?

Both S.I. and C.I. is calculated with a similar rate of 10% per annum on a sum of rupees. If C.I. is calculated yearly for two years, then for what period must S.I. be evaluated such that S.I. = C.I.?

What would be the smaller of the two angles formed by the hour hand and the minute hand at 4:52 p.m?

If a + b + c = 11 and ab + bc + ca = 17, then what is the value of a3 + b3 + c3 – 3abc?

When a number is increased by 69, it becomes 103% of itself. What is the number?