Quantitative Aptitude - Arithmetic Ability Questions

If a = 299, b = 298, c = 297 then the value of 2a3 + 2b3 + 2c3 - 6abc is

A train of length 100 m crosses another train of length 150 m, running on a parallel track in the opposite direction in 9 seconds. If the speed of trainhaving length 150 m is 40 km/hr, then what is the speed (in km/hr) of the other train?

Of the 5 numbers whose average is 78, the first is 2/11 times the sum of other 4. The first number is

A sum of Rs 15200 is divided into two parts. The simple interest on first part at the rate of 25% per annum is equal to the simple interest on second part at the rate of 13% per annum. What is the interest (in Rs) of each part?

If (5x – y)/(5x + y) = 3/7, then what is the value of (4x2 + y2 – 4xy)/(9x2 + 16y2 + 24xy) ?

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

Consider the figure shown below which consists of the triangle ABC which touches the circle with centre at O. Which of the following options is CORRECT?

Find out the odd word/letters/number/number pair from the given alternatives.