Quantitative Aptitude - Arithmetic Ability Questions

If a+1a=2 then the vealue of a5+1a5 will be

Which of the following quadratic equations has real roots?

Working 5 hours a day, Shivam can read a book in 24 days. How many hours a day should he work so as to finish the same work in 8 days?

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

A mixture of 50 kg of cement and gravel contains 10% of gravel. How many kg of gravel must be added to make the gravel content 28% in the new mixture?

A mixture of 240 litres of juice and water contains 15% water. How much more water (in litres) should be added to this so that the strength of water will become 25% in the new mixture?

The ratio of two numbers is 5 : 6. If their product is 1470, then what is the sum of both the numbers?

If 4(4x + 5) > 2x - 1 > 4x - 3, then the value of x is