Quantitative Aptitude - Arithmetic Ability Questions

A man starts walking at 6.30 a.m. and wants to cover a distance of 30km. His initial speed is 6 kmph and after covering three-fifth distance, he reduces his speed by 2 kmph. At what time will he complete his walk?

If a + b = 1 and ab = -6, then what is the value of a3+ b3?

If cos 27° = x, the value of tan 63° is

For triangle PQR, find equation of altitude PS if co­-ordinates of P, Q and R are (6,2), (0,3) and (­-4,5) respectively?

If cosAcotA/(1 -­ sinA) = x, then the value of x is

Among three numbers, the first is twice the second and thrice the third, If the average of three numbers is 517, then what is the difference between the first and the third number?

The length of diagonal BD of a parallelogram ABCD is 36 cm. P and Q are the centroids of triangle ABC and triangle ADC respectively. What is the length (in cm) of PQ?

The reciprocal of the sum of the reciprocals of 3/8 and 8/11 is: