Quantitative Aptitude - Arithmetic Ability Questions

Given: 6x + 2(6-x) > 2x -2 < 5x/2 - 3x/4; then x can take which of the following values?

The value of 8(sin6θ + cos6θ) - 12(sin4θ + cos4θ) is equal to

Cost of 4 pens, 6 note books and 9 files is Rs 305. Cost of 3 pens, 4 notebooks and 2 files is Rs 145. What is the cost (in Rs) of 5 pens, 8 notebooks and 16 files?

The ratio of sand to gravel in a mixture is 17:8 while that between gravel and cement is 6:17. What is the ratio of sand to cement in the mixture?

PQRS is a square whose side is 16 cm. What is the value of the side (in cm) of the largest regular octagon that can be cut from the given square?

1/3 part of a certain journey is covered with the speed of 25 km/hr, 1/2 part of the journey is covered with the speed of 45 km/hr and the remaining part covered with the speed of 37.5 km/hr. What is the average speed (in km/hr) for the whole journey?

If 15 persons can do a job in 30 days, then 30 persons with twice the efficiency can do the same job in how many days?

The difference between the place values of 9 and 5 in the number 428693745 is