The sum of a mother, her baby and her dog weight is 170 pounds.How much does the baby weigh if the mother weighs 100 pounds more than the combined weight of the baby and the dog,and the dog weighs 60 percent less than the baby?
Lady:135 , Baby:25 & Dog:10
Lavesh can paint a a house in just 3 hours.However it takes 6 hours for vishesh to complete the same job.
How long would it take for both to complete the same job?
two hours.
lavesh who could complete the job in 3 hours could complete 2/3 of the job in two hours. Vishesh who complete the job in 6 hours could complete 1/3 of the job in two hours.
2/3 + 1/3 = 1.
Can you find four consecutive prime numbers that add up to 220?
47 + 53 + 59 + 61 = 220
A large water tank has two inlet pipes (a large one and a small one) and one outlet pipe. It takes 3 hours to fill the tank with the large inlet pipe. On the other hand, it takes 6 hours to fill the tank with the small inlet pipe. The outlet pipe allows the full tank to be emptied in 9 hours.
What fraction of the tank (initially empty) will be filled in 0.64 hours if all three pipes are in operation? Give your answer to two decimal places (e.g., 0.25, 0.5, or 0.75).
In one hour,
Soln 1:
the large inlet pipe fills 1 / 3 of the tank;
the small inlet pipe fills 1 / 6 of the tank;
the outlet pipe empties 1 / 9 of the tank; and therefore
all three pipes together fill [ (1 / 3) + (1 / 6) − (1 / 9) ] of the tank.
Fraction of the tank that will be filled in 0.64 hours =
0.64 [ (1 / 3) + (1 / 6) − (1 / 9) ] = 0.25.
Soln 2:
Let V be the total volume of the tank. From equation (1),
Flow Rate (large inlet pipe) = V / 3
Flow Rate (small inlet pipe) = V / 6
Flow Rate (outlet pipe) = V / 9.
Substituting in equation (2),
Rate of Accumulation in tank = (V / 3) + (V / 6) − (V / 9).
Using the above result in equation (1),
Time required to fill the complete tank = V / [ (V / 3) + (V / 6) − (V / 9) ].
Note that V cancels out on simplifying the above expression.
Fraction of the tank that will be filled in 0.64 hours =
0.64 [ (1 / 3) + (1 / 6) − (1 / 9) ] = 0.25.
A clock loses 10 minutes each hour.If the clock is set correctly at noon,what time is it when it reads 3 PM ?
3:36 PM.
The clock loses 10 minutes each hour,
so it loses 5 minutes every half-hour,
and it loses 1 minute very 6 minutes.
It is 12:50 PM at 1:00 o'clock.
It is 1:40 PM at 2:00 o'clock.
It is 2:30 PM at 3:00 o'clock.
It is 2:55 PM at 3:30 o'clock.
It is 3:00 PM at 3:36 o'clock.
A four digit number (not beginning with 0) can be represented by ABCD. There is one number such that ABCD=A^B*C^D, where A^B means A raised to the B power. Can you find it?
The only number is 2592. 2^5 is 32 and 9^2 is 81. 32*81 is 2592.
Use only one mathamatical symbols and all numbers (0-9) to get sum of 99
9+8+7+65+4+3+2+1+0
In 2012 Men's Wimbledon , 80 tennis player from across the world have come to participate.
As we know its a knock-out tournament , each player is eliminated as soon as he looses a match.
The organizer of the tournament decides to count the minimum number of required matches.
Can you help them out ?
Total Number of Matches: 79
Explanation:
40+20+10+5+2+1+1 = 79 (80-1 =79)
Sadaf is selling fruits at brain teasers land.
She sell grapes at $30, Dates costs $25, and a Wolfberry costs $45
At what price does she sell fig ?
15
Cost of each alphabet is 5
