Quantitative Aptitude - Arithmetic Ability Questions

If ab = 21 and a+b2a-b2 = 254,then the value of a2+b2+3ab

If θ is positive acute angle and 4sin2θ = 3, then the value of tan θ - cot θ/2 is

Raman can do a work in 5 days, Jatin can do the same work in 7 days and Sachin can do the same work in 9 days. If they do the same work together and they are paid Rs 2860, then what is the share (in Rs) of Raman?

A does 50% of a work in 12 days. He then calls in B and they together finish the remaining work in 8 days. How long B alone would take to complete the whole work?

A grocer had 1600 kgs of wheat. He sold a part of it at 20% profit and the rest at 12% profit, so that he made a total profit of 17%. How much wheat (in kg) did he sell at 20% profit?

The value of 2 Tan53°Cot37°-Cot80°Tan10° ?

The average of 29 consecutive even integers is 60. The highest of these integers is

The sum of the ages of husband and wife at present is 100. Ten years ago the ratio of their ages was 9:7. What is the age of the husband?