Question
The coefficient of βb2β in (3a +
b)3 isSolution
= (3a + b)3 = (3a)3 + b3 + 3 Γ (3a)2 Γ b + 3 Γ 3a Γ b2 = 27a3 + b3 + 27ba2 + 9ab2 So, coefficient of βb2β = 9a
If 10 men can complete a piece of work in 12 days by working 7 hours a day, then in how many days can 14 men do the same work by working 6 hours a day?
Four bells start ringing together at 9:00 am. They ring at intervals of 15 seconds, 20 seconds, 30 seconds, and 40 seconds. At wh...
A can do (2/5) of a work in 6 days and B can do 30% of the same work in 3 days. They worked together for 4 days. The remaining work was completed by C a...
A and B alone can complete a work in 30 and 60 days, respectively. 50% of the work is completed by C in 6x days, and the remaining work is completed by ...
In a 200 m race, P beats Q by 35 m or 7 seconds. What is P's time over the course?
Two trains of length 200m and 160m respectively are running on parallel lines of rails. When running in the same direction the faster train passes the s...
What % of a day is 30 minutes ?
A mango kept in a basket doubles every one minute. If the basket gets completely filled by mangoes in 30 min then in how many minutes half of the basket...
A car is moving at a uniform speed of 35 km/h. What is the time it takes to cover 140 km?
A and B together can complete a task in 10 days, B and C can do in 15 days, and C and A together can do it in 12 days. How long will they take to compl...