Quantitative Aptitude - Arithmetic Ability Questions

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

If Gaganjyot's salary is 7/6 times of Hafiz's and Sayed's is 8/7 times of Hafiz's, what is the ratio of Gaganjyot's salary to Sayed's.

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?

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?

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 ?

Consider the figure shown below which consists of the triangle ABC which touches the circle with centre at O. Which of the following options is CORRECT?