Quantitative Aptitude - Arithmetic Ability Questions

What is the value of (1 + cotA)2 + (1 -­ cotA)2?

Find the odd word/letters/number pair from the given alternatives.

If ax + by = 1 and bx + ay = 2aba2+b2 then x2+y2a2+b2 is equal to

Present ages of Rahul and his brother are in the ratio of 5 : 3. After 4 years ratio of ages of Rahul’s brother and his sister will be 5 : 6. If the present age of his sister is 26 years, then what will be the age (in years) of Rahul 3 years from now?

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?

Find the median, mode and mean of 9, 5, 8, 9, 9, 7, 8, 9, 8.

What is the difference of the cube and square of the common root of (x2 – 8x + 15) = 0 and (y2 + 2y – 35) = 0?

If k is the largest possible real number such that p4+q4=(p2+kpq+q2)(p2-kpq+q2),then the value of k is