Quantitative Aptitude - Arithmetic Ability Questions

If cosec 45° - sin 30° = x, then x is

A bank offers 5% compound interest per half year. A customer deposits Rs 4800 each on 1st January and 1st July of a year. At the end of the year, the amount he would have gained by way of interest?

If 5x - ­5(3x ­- 2) < 4x -­ 1 < 2 + 2x, then x can take which of the following values?

If 2x- ­2(x ­- 2) < 5 ­- x > ­-2x + 2; then the value of x is

Three runners A,B and C run a race, with runner A finishing 12 meters ahead of runner B and 18 meters ahead of runner C, while runner B finishes 8 meters ahead of runner C. Each runner travels the entire distance at a constant speed. The length of the race is

Present age of Anil and Rajesh are in the ratio of 11 : 6 respectively. 9 years ago, their ages were in the ratio of 7 : 3. If the Pankaj’s present age is 1/4 of the Anil’s present age, then what is the Pankaj’s present age (in years)?

The simple and compound interest that can be earned in two years at the same rate is Rs 1,000 and Rs 1,040 respectively. What is the rate (percent per annum) of interest?

If a + b = 17 and a - b = 9 then the value of (4a2 + 4b2) is,