Quantitative Aptitude - Arithmetic Ability Questions

The reciprocal of the sum of the reciprocals of 3/8 and 8/11 is:

If 7 times the seventh term of an Arithmetic Progression (AP) is equal to 11 times its eleventh term, then the 18th term of the AP will be

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

A can do a work in 16 days and B in 20 days. If they work on it together for 8 days, then what fraction of work is left?

P and Q can do a project in 20 and 12 days respectively. In how many days can they complete 40% of the project if they work together?

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?

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

An engineering student has to secure 25% marks to pass. He gets 45 and fails by 45 marks. Find the maximum marks.