Quantitative Aptitude - Arithmetic Ability Questions

If cot(A/2) = x, then the value of x is

Sum of two numbers is thrice their difference. Their ratio is

Two whole numbers are such that the square of first number exceeds the second by 112 and the ratio of the numbers is 4:3. What is thevalue of smaller number?

A man starts moving from a place A and reaches the place B in 26 hours. He covers 1/3rd of the distance at the speed of 4 km/hr and covers the remaining distance at the speed of 5 km/hr. What is the distance (in km) between A and B?

A car travels a certain distance at 32 km/h and comes back at 68 km/h. What is the average speed for total journey?

If a website is selling smartphone at Rs 18,000 which is marked at Rs 25,000, then what is the discount (in %) at which the smartphone is being sold?

If the shopkeeper sells an item at Rs 1250 which is marked as Rs 1500, then what is the discount he is offering?

What is the value of cosec 5π/3?