Quantitative Aptitude - Arithmetic Ability Questions

If 2x-2x=1 (x≠0),then the value of x3-1x3 is

$$\begin{gathered} ∆ABC is similar to ∆PQR. If ratio of perimeters of ∆ABC and ∆PQR is 1:2 and \\ if PQ = 10 cm then what is the length of AB (in cm)? \end{gathered}$$

Dalajit lent Rs 10800 to Jaabir for 3 years and Rs 7500 to Kabir for 2 years on simple interest at the same rate of interest and received Rs 1422 in all from both of them as interest. The rate of interest per annum is

A shopkeeper increases the price of an object by 40% and then sells it at 25% discount on the marked price. If the selling price of such an object be Rs. 2100, its cost price for the shopkeeper was ?

If θ is acute angle and tan θ – cot θ = 0, then what is the value of tan26θ + cot100θ?

p3 + q3 + r3 – 3pqr = 4. If a = q + r, b = r + p and c = p + q, then what is the value of a3 + b3 + c3 – 3abc?

If the price of sugar is decreased by 18%, then a person can buy 16.2 kg sugar more for Rs 4500. What will be the new price (in Rs) of sugar per kg?