Quantitative Aptitude - Arithmetic Ability Questions

In the fig. ∆ABC is inscribed in a circle with centre O. If ∠ABC = 30° then ∠ACB is equal to

The sum of a fraction and 10 times its reciprocal is 37/4. What is the fraction?

A and B together can complete a piece of work in 12 days. They worked together for 5 days and then A alone finished the rest work in 14 days. A alone can complete the work in _____.

Asif is twice as good as workman as Bashir and together they finish a piece of work in 30 days. In how many days will Asif alone finish the work?

The marked price of a helmet is 30% more than its cost price. If the helmet is sold for Rs 744 after a discount of Rs 36, then what will be the profit percentage?

a% of b + b% of a = ______

A student multiplied a number by 6/7 instead of 7/6. What is the percentage error in the calculation?

In the question given below, two equations are provided. Solve the equations and establish the relationship between x and y

$$\begin{gathered} I. 2x2-13x-189=0 \\ II. 2y2-3y-189=0 \end{gathered}$$