Quantitative Aptitude - Arithmetic Ability Questions

If cosec2 θ = 625/576, then what is the value of [(sin θ – cos θ)/(sin θ + cos θ)]?

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

If a2sec2x - b2tan2x = c2 then the value of sec2x + tan2x is equal to (assume b2 ≠ a2 )

The ratio of incomes of P and Q is 5 : 3. Ratio of income of Q and R is 5 : 2. If one-fourth of P’s income is Rs 500 more than the R’s income, then what is the income (in Rs) of Q?

If x + (1/x) = 2, then what is the value of x21 + (1/x1331)?

The length of the diagonal of a square is 12 cm. Find its area (in cm2).

In the following question, select the odd word from the given alternatives.

4 hrs after a goods train passed a station, another train travelling at a speed of 72 km/hr following that goods train passed through that station. If after passing the station the train overtakes the goods train in 8 hours. What is the speed of the goods train?