Quantitative Aptitude - Arithmetic Ability Questions

If 3x^2 + ax + 4 is perectly divisible by x - 5, then the value of a is :

What is the value of ( 1/2 - cot45) ?

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

If P + 1P+2 = 1, then the value of P+23+1P+23-3 ?

Sumit and Amit undertook a work for Rs 7200. Sumit alone can do the work in 5 days and Amit alone can do the work in 4 days. If they work together,then what will be the difference (in Rs.) in the amount they receive?

An 80 litre mixture of water and acid contains 20% acid. How much acid should be added to make the acid 60% in the new mixture?

A man starts moving from a place A and reaches the place B in 26 hours. He covers 1/3rd of the distance at the speed of 4 km/hr and covers the remaining distance at the speed of 5 km/hr. What is the distance (in km) between A and B?

If 4r = h + r2+h2 then r: h = ? (r not equal to 0)