Quantitative Aptitude - Arithmetic Ability Questions

What is the simplified value of (cotA + tan B)/(cot B + tan A)?

If a + a2 + a3 – 1 = 0, then what is the value ofa3 + (1/a)?

P, Q and R together can make a table in 40 minutes. P and Q together can make it in 60 minutes. How much time (in minutes) will R alone take to make the table?

In ΔDEF, G and H are points on side DE and DF respectively. GH is parallel to EF. If G divides DE in the ratio 1:3 and HF is 7.2 cm, find length of DF?

The line passing through (-2,5) and (6,b) is perpendicular to the line 20x + 5y = 3. Find b?

Select the odd word from the given alternatives.

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

If 31x + 31y = 403, then what is the average of x and y?