Quantitative Aptitude - Arithmetic Ability Questions

What is the equation of the line perpendicular to the line 5x + 3y = 6 and having Y-intercept -3?

What is the sum of the first 13 terms of an arithmetic progression if the 5th term is 1 and the 8th term is -17?

What is the value of 13313 + 729 - 5123

A work can be completed by 18 boys in 24 days. If 6 boys leave after working for 12 days, then how many days will be needed to complete the remaining work?

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?

If the number 247_679 is completely divisible by 9, then the smallest whole number in the place of the blank digit will be

A sump is filled by three tankers with uniform flow. The first two tankers operating simultaneously fill the sump in the same time during which the sump is filled by the third tanker alone. The second tanker fills the sump 5 hours faster than the first tanker and 4 hours slower than the third tanker. The time required by the first tanker is:

Find the value of 27a3 + 1a3, if 9a2 + 1a2 = 43