Quantitative Aptitude - Arithmetic Ability Questions

A race has three parts. The speed and time required to complete the individual parts for a runner is displayed on the following chart:
                       

                         Part I     Part II       Part III

Speed (kmph)       9            8              7.5

Time (minutes)     50          80             100

Ram and Hari can cut 12 kgs nuts in 2 days. After 5 days, Hari left the work. Ram took 8 more days to cut the rest of the nuts. If total of 58 kgs of nuts were cut, the time taken by Hari to cut 10 kg of nuts is

In what ratio sugar of Rs 38 per kg and Rs 30 per kg be mixed with each other so that on selling mixture at Rs 35.2 per kg there will be a profit of 10%?

A Navy captain going away from a lighthouse at the speed of 4[(√3) – 1] m/s. He observes that it takes him 1 minute to change the angle of elevation of the top of the lighthouse from 60 to 45 deg. What is the height (in metres) of the lighthouse?

5% discount is offered on an item. By applying a promo code the customer wins 20% cash back. What is the effective discount?

If 4x = √5+ 2, then the value of x - 1/16x is

In triangle PQR, C is the centroid. PQ = 30 cm, QR = 36 cm and PR = 50 cm. If D is the midpoint of QR, then what is the length (in cm) of CD?

A, B and C can together do a job in 9 days. C alone can do the job in 36 days. In how many days can A and B do 50% of the job working together?