Quantitative Aptitude - Arithmetic Ability Questions

Vikram and Vivek can finish a work in 50 days. They worked together for 20 days and then left. How much work has been done by them?

If 2x+29x = 4, then the value of 27x3+127x3

What is the sum of first 40 terms of 1 + 3 + 4 + 5 + 7 + 7 + 10 + 9 + ....?

What will be the net discount percentage of three successive discounts of 20%, 10% and 30%?

If a2+b2+c2=14 and a+b+c=6, then the value of ab+bc+ca is,

If sin θ + sin 5θ = sin 3θ and 0 < θ < (π/2), then what is the value of θ (in degrees)?

A rectangular swimming pool of length 20 m and breadth 10 m has a uniformly sloping floor. It is 1 m in depth on one end of its length and 3 m at the other. How much water is needed to completely fill this pool? (Take π = 22/7)

Triangle ABC is similar to triangle PQR and AB : PQ = 2 : 3. AD is the median to the side BC in triangle ABC and PS is the median to the side QR in triangle PQR. What is the value of (BD/QS)2?