Quantitative Aptitude - Arithmetic Ability Questions

If sec -7π/4 = x, then the value of x is

Two cars travel from city A to city B at a speed of 60 and 108 km/hr respectively. If one car takes 2 hours lesser time than the other car for the journey, then the distance between City A and City B?

Ankit runs 324 metres every day for his fitness. According to his daily routine in how many days he covers 8.1 km.

A person driving at the speed of 40 kmph reaches office 1 minute early while he reaches 3 minutes late if driving at 36 kmph. What is the distance in km that she is covering?

If x/2 - [4(15/2 - x/3)]/3 = -x/18, then what is the value of x?

The sum of three numbers is 67. If the ratio of the first number to the second number is 3 : 5 and that of the second number to the third number is 4 : 7, then what is the second number ?

In the given figure, ABCD is a square of side 14 cm. E and F are mid points of sides AB and DC respectively. EPF is a semicircle whose diameter is EF. LMNO is a square . What is the area (in sq.cm) of the shaded region?

ΔPQR is right angled at Q. QS is the altitude. PQ is 4√29 cm and PS is 8 cm. Find length of SR?