Quantitative Aptitude - Arithmetic Ability Questions

What is the sum of the first 12 terms of an arithmetic progression if the 3rd term is -13 and the 6th term is -4?

If sec θ (cos θ + sin θ) = √2, then what is the value of (2 sin θ)/(cos θ – sin θ)?

What is the length of the side of an equilateral triangle, if its area is 36√3 sq cm?

What is the place value and face value of 9 in 68956 respectively?

What is the difference of the cube and square of the common root of (x2 – 8x + 15) = 0 and (y2 + 2y – 35) = 0?

The sum of the ages of husband and wife at present is 60. Four years ago the ratio of their ages was 7:6. What is the age of the husband?

Both A and B together can complete a work in 20 days and B alone can complete the same work in 36 days. In how many days will A alone complete the work?

If -3/2 + (2/3)(3x + 9) = x/2, then what is the value of x?