Quantitative Aptitude - Arithmetic Ability Questions

What is the sum of the first 12 terms of an arithmetic progression if the 3rd term is -13 and the 6th term is -4?

If cos4θ-sin4θ=13 then the value of tan2θ is

50 litre mixture of water and alcohol contains 10% alcohol. How much more alcohol must be added to make the strength of alcohol 40% in the new mixture?

Both A and B together can complete a work in 20 days and B alone can complete the same work in 36 days. In how many days will A alone complete the work?

What is the value of cot210°?

What is the value of √[(1 - sinA)/(1 + sinA)]?

Points P and Q lie on side AB and AC of triangle ABC respectively such that segment PQ is parallel to side BC. If the ratio of AP:PB is 2:5, and area of Δ APQ is 4 sq cm, what is the area of trapezium PQCB?

If tan4θ + tan2θ = 1 then the value of cos4θ + cos2θ is