Quantitative Aptitude - Arithmetic Ability Questions

A and B start an enterprise together, with A as active partner. A invests Rs 4000 and Rs 2000 more after 8 months. B invests Rs 5000 and withdraws Rs 2000 after 9 months. Being the active partner, A takes Rs 100 per month as allowance, from the profit. What is the share of B if the profit for the year is Rs 6700?

When 0.090909.....is converted into a fraction, then the result is

If x3+ 2x2– 5x + k is divisible by x + 1, then what is the value of k?

Reduce 3596 / 4292 to lowest terms.

What is the sum of a3+b3+c3-3abc, when the value of a=4, b=2 and c=-6?

What is the simplified value of Sec ACot A + Tan A2 ?

A can complete a task alone in 8 days, while B takes 12 days to do it by herself. Together with C it takes them 4 days to complete the work. If C and D together can complete the task in 15 days, then how many days will D need to complete the task by herself?

Two cars travel from city A to city B at a speed of 30 and 45 km/hr respectively. If one car takes 2.5 hours lesser time than the other car for the journey, then the distance between City A and City B is: