Quantitative Aptitude - Arithmetic Ability Questions

If α and β are the roots of equation x2 – x + 1 = 0, then which equation will have roots α3 and β3?

ΔABC is right angled at B. If m∠A = 45 deg, then find the value of (tanC + √3/2).

What is the value of 4600+540+1280+250+36 ?

ΔDEF is right angled at E. If cosD = 8/17, then what is the value of secF ?

ΔXYZ is right angled at Y. If cosX = 3/5, then what is the value of cosecZ ?

What is the quotient when 7251 is divided by 66?

In the first 43 overs of a cricket match, the run rate was 5 runs/over. Calculate the required run rate in the remaining 7 overs to reach the target of 285 runs?

What is the sum of all natural numbers between 100 and 400 which are divisible by 13?