Quantitative Aptitude - Arithmetic Ability Questions

Badki can bake 45 cakes in 9 hours, Badki and Chutki together can bake 80 cakes in 10 hours. How many cakes Chutki can bake in 40 hours?

P and Q can do a project in 60 and 30 days respectively. In how many days can they complete 90% of the project if they work together?

Amar is 2 times as good a workman as Badal and therefore is able to finish a job in 15 days less than Badal. In how many days can they together complete the job?

Sashi can do a piece of work in 20 days. Tanya is 25% more efficient than Sashi. The number of days taken by Tanya to do the same piece of work is:

What is the simplified value of sin2(90–θ)–[sin(90–θ)sinθ/tanθ]?

If x + y = 5, x3 + y3 = 35, then what is the positive difference between x and y?

In a circle of radius 8 cm, AB and AC are two chords such that AB = AC = 12 cm. What is the length of chord BC?

The first and last terms of an arithmetic progression are 32 and ­-43. If the sum of the series is ­-88, then it has how many terms?