Question
If a + (1/a) = 2, then find the value of (a5
+ a3 + 6)/(7a β 5).ΒSolution
Given, a + (1/a) = 2 Or, a2 + 1 = 2a Or, a2 β 2a + 1 = 0 Or, a2 β a β a + 1 = 0 Or, a(a β 1) β 1(a β 1) = 0 Or, (a β 1)(a β 1) = 0 Or, a = 1 So, (a5 + a3 + 6)/(7a β 5) = (1 + 1 + 6)/(7 β 5) = 8/2 = 4
Working alone, B can complete the work in 30 days. C is twice as efficient as B and A takes 3 days more than it takes C to complete the work. Working to...
A man can complete a task in 20 days, a woman can finish it in 30 days, and a boy can do the same task in 60 days. To complete the task in just 3 days, ...
Arjun can finish 60% of a job in 9 days. Bittu needs 9 more days than Arjun to finish the whole job, and Bittuβs efficiency is 25% higher than CharuοΏ½...
- βPβ takes 25 days to complete a piece of work. βQβ is 25% more efficient than βPβ. Find the time taken by them to complete 90% of the work toge...
12 children and 18 men complete an artwork in 9 days. Each child takes twice as long as a man to finish the artwork. How many days will it take for 18 m...
A can fabricate a divider in 10 days , while B alone can assemble it in 30 days, If they construct it together and get an installment of Rs 8200, then f...
A can finish a task in 32 days, while B can complete the same task 8 days sooner than A. If they together earn a total of Rs. 1050 for the job, how much...
A and B individually can complete the work in 20 days and 30 days respectively. If the time taken by C alone to complete the work is 1.25 times the time...
'A' and 'B' together can do a piece of work in 12 days while 'B' and 'C' together can do the same work in 16 days. 'A' started the work alone and worke...
A and B can complete a work together in 30 days. If A alone can complete one-third of the work in βxβ days and remaining work is completed by B alon...
Relevant for Exams:
