Quantitative Aptitude - Arithmetic Ability Questions

If x + (1/x) = (√3 + 1)/2, then what is the value of x4 + (1/x4)?

Raj purchased two laptops, first for Rs 42500 and the second for Rs 36200. He sold first laptop at a profit of 12% and the second laptop at a loss of 12%.What is the overall profit or loss?

P(3,1) and R(-7,5) are vertices of a rhombus PQRS. What is the equation of diagonal QS?

To cover a distance of 234 km in 1.6 hours what should be the average speed of the car in meters/second?

A man travels 800 km in partly by rail and partly by steamer. He spends 7 hours more time on steamer. If the velocity of the steamer is 20 km/hr and the velocity of rail is 55 km/hr, how much distance does he cover by steamer?

There are three bottles of mixture of syrup and water of ratios 2:3, 3:4 and 7:5. 10 Litres of first and 21 Litres of second bottles are taken. How much quantity from third bottle is to be taken so that final mixture from three bottles will be of ratios 1:1.

The average of 12 numbers is 35. If four numbers 20, 27, 15 and 29 are removed then what will be the average of remaining numbers?

Sum of twice a fraction and 3 times its reciprocal is 29/3. What is the fraction?