Pankaj and Abdul are two friends. A total of Rs. 900 was paid to both of them for completing a work. Pankaj started working and worked for ‘x’ days and then left and the remaining work was completed by Abdul and he was paid Rs. 540. If Pankaj and Abdul alone can complete the work in 15 days and Y days resp. Which of the following options is /are possible for the value of 'X' and 'Y' are respectively. A- 6 , 18 B- 6,30 C- 6, 25 D-8, 25

Pankaj and Abdul together receive Rs. 900 for a work. Pankaj works x days at rate 1/15 per day, Abdul completes the rest and receives Rs. 540. Pankaj gets Rs. 360. Abdul's payment being 1.5 times Pankaj's means he did 1.5 times the work: (1 - x/15) = 1.5(x/15), giving x = 6. With x = 6, Pankaj does 2/5 work, Abdul does 3/5 work in 10.8 days. Y = 18 works. Also if Y = 25, Abdul's rate = 1/25, Pankaj's = 1/37.5 (not 15). If Y = 30, Pankaj's = 1/45. The only valid pair from given options is x = 6, Y = 18, but the question asks which options are possible. Given the constraints, only option A (6, 18) is mathematically consistent.