Quantitative Aptitude - Arithmetic Ability Questions

What is the Compound interest on Rs. 5000 in 3 years, if the rate of interest is 4% for the first year, 3% for the second year and 2% for the third year?

If α and β are roots of the equation 3x2 – 13x + 14 = 0, then what is the value of (α/β) + (β/α)?

If a - b = -1 and ab = 6, then what is the value of a3- b3?

If a(a + b + c) = 45, b(a + b + c) = 75 and c(a + b + c) = 105, then what is the value of (a2 + b2 + c2 )?

In ΔABC, the angle bisector of ∠A cuts BC at E. Find the length of AC if lengths of AB, BE and EC are 9.6 cm, 4 cm and 3 cm?

A, B and C invest to start a restaurant. The total investment was Rs 3 lakhs. B invested Rs 50,000 more than A and C invested Rs 25,000 less than B. If the profit at the end of the year was Rs 14,400 then what is C's share of the profit (in Rs)?

P, Q and R together can make a table in 40 minutes. P and Q together can make it in 60 minutes. How much time (in minutes) will R alone take to make the table?

Deepak marks the price of his table 60% above the cost price. He gives some discount on it and earns profit of 15.2%. What is the discount percentage?