Pipe A can fill a tank in 4 hours and pipe B can fill it in 6 hours. If they are opened on alternate hours and if pipe A is opened first then in how many hours, the tank shall be full? 

P and Q together can do a job in 6 days. Q and R can finish the same job in 60/7 days. P started the work and worked for 3 days. Q and R continued for 6 days to finish the work. Then the difference of days in which R and P can complete the job alone is 

In what ratio must a mixture of 30 % alcohol strength be mixed with that of 50 % alcohol strength so as to get a mixture of 45 % alcohol strength? 

If α and β are the roots of the equation x² + x - 1 = 0, then what is the equation whose roots are and α⁵ and β⁵ ? 

lf p + m = 6 and p³ + m³ = 72, then the value of pm is: 

A tourist spends daily as many rupees as the number of days of his total tour. If his total expenses were ₹ 361, then how many days did his tour last? 

The number of integers in between 100 and 600, which are divisible by 4 and 6 both, is: 

Sum of the factors of 4b²c²-(b²+c²-a²)² is :