Quantitative Aptitude - Arithmetic Ability Questions

If cos 135° = x, then the value of x is

If cot ­-4π/3 = x, then the value of x is

The value of tan80° tan10° + sin270° + sin20∘

Which of the following ratios can be the ratio of the sides of a right angled triangle?

The ratio of sand to gravel in a mixture is 17:8 while that between gravel and cement is 6:17. What is the ratio of sand to cement in the mixture?

A man covered a certain distance by a train at the speed of 40 km/hr and covers the same distance back by walking at the speed of 8 km/hr. Ifthe whole journey took 12 hours, then what is the one side distance (in km)?

In ∆ ABC, the height CD intersects AB at D. The midpoints of AB and BC are P and Q respectively. If AD = 8 cm and CD = 6 cm, then the length of PQ is?

For an article the profit is 170% of the cost price. If the cost price increases by 20% but the selling price remains same, then what is the new profit percentage?