Quantitative Aptitude - Arithmetic Ability Questions

A ladder 13 m long reaches a window which is 12 m above the ground on side of a street. Keeping its foot at the same point, the ladder is turned to the other side of the street to each a window 5m high, then the width of the street is :

30% of a number exceeds 25% of the same number by 27. What is the value of the number?

Find the odd word/letters/number pair from the given alternatives

Find the value of sin230 cos245 + 4 tan230 + 1/2sin290 - 2 cos290 + 1/24

ΔPQR is right angled at Q. If cotP = 5/12, then what is the value of tanR ?

P does half as much work as Q in 1/3 of the time. If together they take 15 days to complete a work, how many days will P take to do it alone?

A and B can complete a task in 20 days, B and C can complete it in 30 days while C and A can do the same task together in 24 days. How many days will each of and C take to complete the task individually? 

Which of the following will yield a recurring decimal?