Quantitative Aptitude - Arithmetic Ability Questions

In the question, two equations I and II are given. You have to solve both the equations and give answer

$$\begin{gathered} x2-11x+28=0 \\ y2-18y+81=0 \end{gathered}$$

Find the unit place digit in 71 x 72 x 73 x 74 x 76 x 77 x 78 x 79.

Two cyclists A and B start cycling at 21 km/hr and 24 km/hr towards each other. They meet after 1 hour and 12 minutes. How far (in km) were they from each other when they started?

If secA + tanA = x, then the value of x is

If x + y = 13 and x2 + y2 = 89, then find xy is

In ΔABC, D and E are points on side AB and AC respectively. DE is parallel to BC. If lengths of AD, DB and DE are 8 cm, 6 cm and 7.2 cm respectively, find length of BC?

If cos ­-11π/6 = x, then the value of x is

Deepanshu lent Rs. 8400 to Jaipal for 15 years and Rs. 5100 to Kareem for 14 years on simple interest at the same rate of interest and received Rs. 17766 in all from both of them as interest. The rate of interest per annum is