Quantitative Aptitude - Arithmetic Ability Questions

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

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

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

For triangle PQR, what is the equation of altitude PS if co­ordinates of P, Q and R are (5,1), (0,­4) and (­2,3) respectively?

If x + y + z = 0, then what is the value of (3y2 + x2 + z2 )/(2y2 – xz)?

Anuj runs 1 2/3 laps of 7 laps race, find the remaining laps to be run.

It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the car is:

The least number, which when divided by 5, 6, 7 and 8 leaves a remainder 3 in each case, but when divided by 9 leaves no remainder, is: