Quantitative Aptitude - Arithmetic Ability Questions

PQRS is a square, M is the mid-point of PQ and N is a point on QR such that NR is two-third of QR. If the area of ΔMQN is 48 cm2 , then what is the length (in cm) of PR ?

The sum of a fraction and 3 times its reciprocal is 19/4. What is the fraction?

If (x+a) is the H.C.F of 2x2+5x-12 and x2+x-12 then find the value of a.

The flight fare between two cities is increased in the ratio 11:13. What is the increase (in Rs) in the fare, if the original fare was Rs 12100?

If a = 1/a-5, then the value of a + 1/a = ?

Two cycles start from a house with a speed of 24kmph at interval of 15 min. With how much more speed in kmph the woman coming from the opposite direction towards the house has to travel to meet the cycles at an interval of 10 minutes?

A, B and C can finish a job working alone in 12, 8 and 24 days respectively. In how many days they can finish the job if they worked together?

Sum of a fraction and thrice its reciprocal is 31/6. What is the fraction?