Quantitative Aptitude - Arithmetic Ability Questions

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 )?

Two labourers A and B are paid a total of Rs. 750 per day. If A is paid 150 percent of what is paid to B, how much (in Rs) is B paid?

A group of boys has an average weight of 36 kg. One boy weighing 42 kg leaves the group and another boy weighing 30 kg joins the group. If the average now becomes 35.7 kg, then how many boys are there in the group?

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?

If 2 cos θ = 2 – sin θ, then what is the value of cos θ?

The compound interest earned in two years at 15% per annum is Rs 20640. What is the sum invested (in Rs)?

If x – 3 + [1/(x – 3)] = 4, what is the value of [(x – 3)3+ [1/(x – 3)3]?

If a = √2 + 1 and b = √2 - 1, then the value of 1a+1+1b+1 will be