Quantitative Aptitude - Arithmetic Ability Questions

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?

In an examination 65% students pass in history and 55% students pass in hindi. If 5% students failed in both the subjects, then what is the percentage of students who have passed in both the subjects?

The two equal sides of an isosceles triangle is 20 cm each and the third side is 30 cm. What is the area(in cm2) of the triangle?

Ticket for an adult is Rs 2200 and a child is Rs 990. One child goes free with two adults. If a group has 23 adults and 11 children, what is the discount the group gets?

A student has to secure 40% marks to pass. He gets 67 and fails by 13 marks. What is the maximum marks?

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

X can complete a task in 8 days, whereas Y can complete the same task in 10 days. If they work together, in how many days will the task be completed?

If a vendor sells apples at Rs 170 per kg he suffers 15% loss. If he sells at Rs 230 per kg, then what is his profit percentage?