Quantitative Aptitude - Arithmetic Ability Questions

What is the value of Sin 30° - Cosec 45°?

What is the value of Tan 45° - 1/√3 Sec 60°?

Point A divides segment BC in the ratio 5:1. Co-ordinates of B are (6 ,-4) and C are (0,8). What are the co-ordinates of point A?

α and β are the roots of the quadratic equation x2 – x – 1 = 0. What is the value of α8 + β8?

A train runs at 80 kmph for the first 40 km and the next 30 km at 60 kmph. Find the average speed.

A shopkeeper increases the price of an object by 40% and then sells it at 25% discount on the marked price. If the selling price of such an object be Rs. 2100, its cost price for the shopkeeper was ?

There is 40% increase in an amount in 8 years at simple interest. What will be the compound interest of Rs. 10000 after 3 years at the same rate?

The fraction from the ones listed below that will NOT lead to a recurring decimal is