Quantitative Aptitude - Arithmetic Ability Questions

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

The addition of a rational number and its reciprocal is 61/30. Calculate the number.

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?

There were 24 studentsina class. One of them, who was 18 years old, left the class and his place was filled up by a new comer.Ifthe average of the class was thereby lowered by 1 month, the age of new comer is-

In triangle PQR, A is the point of intersection of all the altitudes and B is the point of intersection of all the angle bisectors of the triangle. If ∠PBR =105°, then what is the value of ∠PAR (in degrees)?

The price of an article is cut by 31%, to restore to its original value, the new price must be increased by

A sum of Rs 10000 becomes Rs 14641 when invested at compound interest at the yearly interest rate of 20% per annum. If the compounding is done half yearly, then for how many years was the sum invested?

Two numbers are 50% and 90% lesser than a third number. By how much percent is the second number to be enhanced to make it equal to the first number?