Quantitative Aptitude - Arithmetic Ability Questions

The difference between the ages of two sisters is 4 years when father's age is 54. Father is elder by 2 years to mother . Younger sister's age is half of mother's age. Find the age of elder sister.

The cube of 997 is

Sum of four times a fraction and 6 times its reciprocal is 11. What is the fraction?

A sells vegetables at a profit of 35% and for weighing uses a weight which is 10% less than the article weight. What is total profit percentage?

Two trains, one 150 m long and the other 130m long, coming from opposite directions crosssed each other in 7.2 seconds. The sum of speed of the two trains every hour would then be

An hour-long test has 60 problems. If a student completes 30 problems in 25 minutes, then the required seconds he has taken on average for computing each of the remaining problems is

α and β are the roots of the quadratic equation x2 – x – 1 = 0. What is the value of α8 + β8?

The average weight of P, Q and R is 47 kg. If the average weight of P and Q be 32.5 kg and that of Q and R be 48.5 kg, then what is the weight of Q (in kgs)?