Quantitative Aptitude - Arithmetic Ability Questions

The price of an article is cut by 33%, to restore to its original value, the new price must he increased by

A and B together do a job in 6.75 days and A could do the job in 9 days if he worked alone. How many days would B take to do the job if he worked alone?

What is the HCF (highest common factor) of 57 and 513?

If O is the orthocentre of a triangle ABC and ∠BOC = 100°, the measure of ∠BAC is

Working together A and B can do a job in 40 days, B and C in 36 days and all three together in 24 days. In how many days can B alone do the job?

In what ratio must a mixture of 20% milk strength be mixed with that of 60% milk strength so as to get a new mixture of 25% milk strength ?

S does half as much work as T in 1/7 of the time taken by T. If together they take 21 days to complete a work, then how may days shall S take to complete that work alone?

Δ DEF is right angled at E. If m∠F = 45, then what is the value of Sin F x Tan F?