Question
In what time would a cistern be filled by three pipes
whose diameter are 2cm, 2*2/3cm, 4cm running together, when the largest pipe alone fill the cistern in 122 minutes the amount of water flowing in  by each pipe being proportional to the square of diameter?Solution
Total Efficiency = 9 + 16 + 36 = 61 Pipe 3rd alone can fill the cistern in 122 min (given) ∴ Capacity of the tank = (36 × 122) = 4392 Time taken by all pipes together = 4392/(61 )= 72 minutes
 `sqrt(sqrt(10+sqrt(10+sqrt(10)) ... prop)`  = ?
- If 4x + y = 18 and xy = - 10, what is the value of 4x - y?
(p + 3) 2 + (q – 7) 2 + (r + 4)2 = 0, then find the value of p + q – r.
If there are a total of 1000 students in the school, how many students prefer Mathematics and science?
Find the value of ‘x’ in the given expression:
(49/16)x × (64/343)x-1 = 4/7
A boat covers a distance of 75 km downstream in 2.5 hours. If the ratio of upstream speed to downstream speed of the boat is 3:5, then find the distance...
√(92×8 ×52+700) = ?
If 10x2 – 6xy+y² – 4x+4= 0, then find the value of (3x+2y).
If 2x+1, x+2, 2 and 5 are in proportion, then what is the mean proportional between 3.5(1-x) and 8(1+x)?
Relevant for Exams:
