Quantitative Aptitude - Arithmetic Ability Questions

If a3 + b 3 = 35 and ab = 6, then what is the value of a + b?

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

Identify the odd one out from the following:

If x + 3 ≤ 4x + 4 and 3(4 - x) - 4 ≥ 2x - 2, then x can take which of the following values?

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?

If r sinθ=3 and r cosθ=1, then the values of r and θ are: (0°⩽θ≤90°)

Pipes A, B, and C are attached to an empty cistern. While the first two can fill the cistern in 4 and 10 hours, respectively, the third can drain the cistern, when filled, in 6 hours. If all the three pipes are opened simultaneously when the cistern is three-fifth full, how many hours will be needed to fill the cistern?

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: