Question
The value of ((1024)n/5 ×
42n+1)/( 16n × 4n-1 )Solution
(γ(1024)γ^(n/(5 )) × 4^(2n+1))/(γ16γ^(n ) × 4^(n- 1) ) ⇒ (γ(4β΅)γ^(n/5) × 4^(2n+1))/(4^2n × γ4 γ^(n-1) ) ⇒ (4^(n+2n+1) )/(4^(2n+n- 1) ) ⇒ (4^(3n+1) )/(4^(3n- 1) ) ⇒ 4^(3n+1-3n+1) ⇒ 4² = 16
20 men can do a task in 18 days while 30 women can complete the same task in 24 days. In how many days will 1 man and 1 woman complete it together?
30 workers are laying a 6 km railway track. After 18 days, they finish 3/5 of the total work. To speed it up, 10 more workers are added. How many days w...
A pipe can fill a tank in 14 hours, and B pipe can drain a tank in 21 hours. If a system of N pipes (fill pipes and drain pipes put together) can...
βAβ and βBβ can do a piece of work in 10 days and 20 days, respectively. They started working together but βAβ left after 3 days. Find the t...
P can do a piece of work in 30 days. Q do the same work in 40 days. R can do it in 35 days. P and R worked for 4 days and handed it to Q. Q worked for s...
βAβ alone can complete a work in 17 days. βBβ alone can complete the same work in 34 days. If βAβ and βBβ work together for 5 days, then...
A, B and C can mow a field in 36 days, 72 days and 54 days respectively. All the three began the work together on January 1, 2016, but A left 8 days and...
Ananya and Riya can complete a task in 20 hours and 40 hours respectively. Ananya works alone for 10 hours and then Riya finishes the remaining task. Ho...
Amit manages to reach 25% of a sales goal in 6 days, whereas Geeta can achieve 40% of the same goal within the same timeframe. How long would it take fo...
A and B can finish a task together in '2t' days. B alone can complete the task in 10 days, while A alone can do it in '5t' days. Find the value of 't'.
