Quantitative Aptitude - Arithmetic Ability Questions

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

If 1p+1q = 1p+q, then the value of p3-q3

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

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?

A fan is listed at Rs. 150 with a discount of 20% . What additional discount must be offered to the customer to bring the net price to Rs. 108 ?

The average age of A and B is 18 years. After 3 years, C joins them and the average ages of A, B and C becomes 22 years. The age of C 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?