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Numerical Ability
Time and Work
A bath tub can be filled by the cold water pipe in 9 minutes and by the hot water pipe in 11.25 minutes. A person left the bathroom after turning on both the pipes simultaneously and returned the moment when the bath tub was full. Finding that the waste pipe had been left open, he closed it. In 3.75 minutes more, the bath tub was full. In what time would the waste pipe empty it?
(a) 6.66 minutes
(b )66.6 minutes
(c) 55.5 minutes
(d) 48 minutes
(e) None of these
Read Solution (Total 12)
-
- option a
11.25min and 9 min pipe can fill it completely in 5 mins
but due to 3rd pipe 3.75 min more req.
5 min=100%, 3.75=75%
hence 3rd pipe empties 75% tank in 5mins, hence 100% in 6.66 mins - 10 years agoHelpfull: Yes(24) No(1)
- SUBHASH TULSYAN The qus is right. there are 3 pipes.The 3rd pipe is waste pipe. The person thought the waste pipe is closed. So he came when he thought bath tub is full.But find 3rd is open and there is wastage of water. then he stop it.
- 10 years agoHelpfull: Yes(8) No(1)
- 1/9+1/11.25=1/5
&
1/9+1/11.25 -1/x = 1/(5+3.75)
so, x=50/3=11.66 - 10 years agoHelpfull: Yes(6) No(8)
- ur Question is wrong bro.......READ these line of ur question:
returned the moment when the bath tub was full. Finding that the waste pipe had been left open, he closed it. In 3.75 minutes more, the bath tub was full
- 10 years agoHelpfull: Yes(6) No(7)
11.25min and 9 min pipe can fill it completely in 5 mins
but due to 3rd pipe 3.75 min more req.
5 min=100%, 3.75=75%
hence 3rd pipe empties 75% tank in 5mins, hence 100% in 6.66 mins
Option a- 10 years agoHelpfull: Yes(5) No(2)
- let x min is required by waste pipe and 5 min is required by the 9 min and 11.25 min pipe to fill completely. But as waste pipe is open so the equation becomes ( 1/9 + 1/11.25 - 1/x) = (1/5 - 1/x).
so in 5 min part of the bathtub filled is 5*(1/5 - 1/x) = (1 - 5/x). therefore part of the bath tub to be filled is 1 - (1 - 5/x) = 5/x.
whole tub is filled in 5 min
therefore 5/x part is filled in 5*(5/x) = 25/x [ using unitary method ]
therefore 25/x=3.75
x=25/3.75= 6.66min - 9 years agoHelpfull: Yes(3) No(0)
- hence 3rd pipe empties 75% tank in 5mins, hence 100% in 6.66 mins.what is it mean
- 9 years agoHelpfull: Yes(1) No(0)
- option a is correct
- 10 years agoHelpfull: Yes(0) No(3)
- pls explain properly!!!!
- 9 years agoHelpfull: Yes(0) No(0)
- 11.25 min=675 sec, 9=540 sec ,3.75=225 sec
A+B-C= 1/675+1/540 -C=1/225
now take LCM of all three =2700
(4+5-12)/2700=3/2700
(1/900)*60=1/15 =0.06*100=6.66 - 9 years agoHelpfull: Yes(0) No(0)
- 11.66 minutes is the answer..
- 9 years agoHelpfull: Yes(0) No(0)
- Cold water pipe can fill the tub in 9 min
Hot water pipe can fill the tub in 11.25 min
Therefore, both pipes can together fill the tub in 9×11.259+11.25=5 minutes
=> In 1 min, both pipes can together fill 15 of the tank
=> In 3.75 min, both pipes can together fill 3.755=34 of the tank
Therefore, 34 of the tank is emptied by the waste pipe in 5 min
=> full tank can be emptied by the waste pipe in 5×43=6.66 min - 8 years agoHelpfull: Yes(0) No(1)
TCS Other Question
. The sum of three digits a number is 17. The sum of square of the digits is 109. If we substract 495 from the number, the number is reversed. Find the number.
A fortune teller has a unique way of predicting his customer’s prognosis. He has three parrots kept in three different cages. Each cage has three cards with a one digit non-zero number inscribed on every card. No two cards have the same number and no cage contains two cards with the number totaling ten. Further the total of numbers on the three cards in the first cage is greater by two than that in the second and by four than that in the third. When a customer asks for his prognosis, the fortune teller lets out the three parrots, which randomly pick one card out of their respective cages. Before the prognosis is made, the fortune teller totals the numbers on the three cards picked out by the parrots and charges the customer the same number of rupees as the total of the numbers on the cards. One day a customer paid seven rupees for his prognosis.
Which of the following combinations of cards may be picked for prognosis?
(a) 5, 7, 8
(b) 7, 9, 4
(c) 2, 6, 3
(d) 1. 3, 8
(e) None of these