Quantitative Ap...

A thief is running on a circular track of radius 5 m at 1.5 m / s . A policeman whose speed is twice that of the thief arrived at the starting point of the track 4 seconds after the thief. The policeman can either run along the circular track in the direction of the thief or go to the centre and then go to any point on the circle from the centre. Find the minimum distance covered by the thief after the policeman starts chasing him.

If x = 4⁴ x 5⁶ x 6⁵ x 7¹⁰ x 8⁸, then how many factors of x are of the form 6 A²?

x is a positive integer with value at most equal to 110. How many values of x are possible if x is not a factor of (x - 1)!?

The speed of a boat in still water is 24 kmph. If it can travel 20 km downstream in the same time as it can travel 12 km upstream, then it is ______ times as fast as the stream. Key in the number.

Find the minimum value of the quadratic expression 3x² + 11x - 23.

50 square stone slabs of equal size were needed to cover, a floor area of 72 sq. m. The length of each stone slab is :

37% of the total number of people in a city read newspaper ABC and exceed the number of people who read XYZ by 8000. If 27% of the total population do not read any newspaper then find the population of the city if there are only two newspapers in the city. [Assume that no one reads more than one newspaper].

If x² + x - 2 < 0; then which of the following statement is true?

1. x - 1 > 0
2. x - 1 < 0
3. x + 2 > 0
4. x - 2 < 0

At 12:00 AM both the hour and a minute hand were overlapping each other. How many more minutes does the minute hand travel than the hour hand in the next 54 minutes?

A and B start working together on a project and both have the same efficiency in the beginning. However the efficiency of A decreases to 0.6 times the usual after working for 2 hours. If the project can be finished in 120 man hours, then find the minimum number of days required to finish the work if both do an equal manhours of work each day and the sum of the total number of hours of work by both each day is 12. [ Initial efficiency of A = Efficiency of B = 1 man hour].