Puzzle Contest-128

[HELP]

1. At the Party:

There were 9 men and children.

There were 2 more women than children.

The number of different man-woman couples possible was 24. Note that if there were 7 men and 5 women, then there would have been 35 man-woman couples possible.

Also, of the three groups - men, women and children - at the party:

There were 4 of one group.

There were 6 of one group.

There were 8 of one group.

Exactly one of the above 6 statements is false.

Can you tell which one is false? Also, how many men, women and children are there at the party

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2. There is a shortage of tube lights , bulbs and fans in a village - Kharghar. It is found that

All houses do not have either tubelight or bulb or fan.

exactly 19% of houses do not have just one of these.

atleast 67% of houses do not have tubelights.

atleast 83% of houses do not have bulbs.

atleast 73% of houses do not have fans.

What percentage of houses do not have tubelight, bulb and fan?

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3. Mr. Subramaniam rents a private car for Andheri-Colaba-Andheri trip. It costs him Rs. 300 everyday.

One day the car driver informed Mr. Subramaniam that there were two students from Bandra who wished to go from Bandra to Colaba and back to Bandra. Bandra is halfway between Andheri and Colaba. Mr. Subramaniam asked the driver to let the students travel with him.

On the first day when they came, Mr. Subramaniam said, "If you tell me the mathematically correct price you should pay individually for your portion of the trip, I will let you travel for free."

How much should the individual student pay for their journey?

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4. In training for a competition, you find that swimming downstream (with the current) in a river, you can swim 2 miles in 40 minutes, & upstream (against the current), you can swim 2 miles in 60 minutes.

How long would it take you to swim a mile in still water?

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5. In the General meeting of "Friends Club", Sameer said, "The repairs to the Club will come to a total of Rs 3120 and I propose that this amount should be met by the members, each paying an equal amount."

The proposal was immediately agreed. However, four members of the Club chose to resign, leaving the remaining members to pay an extra Rs 26 each.

How many members did the Club originally have?





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[smileey]

1)3m, 6c, 8w statement 1 is false

[smileey]

2) is it 0.38 ?

[smileey]

3)75 Rs

[romeovictor04]

1) 8 WOMEN, 6 CHILDREN, 3 MEN.
STATEMENT 4 IS FALSE

[superbsone]

3) Rs. 50

for half the distance,3 of them should totally pay 150.
hence each of them must pay Rs. 50 each

[superbsone]

4)25 mins
stil water means average of upstream and downstream..
it takes 50mins 2 swin 2 miles in stil water..so 25mins 2 swim 1mile

[superbsone]

5)24
3120/x = y
3120/ (x-4) =(y+26)
solving this equation,u get x=24

[smileey]

Originally Posted by superbsone

3) Rs. 50

for half the distance,3 of them should totally pay 150.
hence each of them must pay Rs. 50 each

but three need not share equally

[deesam]

diff possiblities to become men and women couples to be 24 is 8*3,6*4,12*2
but considering last three statements and second statement r correct then only possibilty is 6*4 ie 6women,4men and 8 children and statement 1 is wrong

[deesam]

2)0.48

[deesam]

3) half of the distance should be shared by 3 persons so cost for half dist is 150 so each student has to pay 50 rs each

[deesam]

4)it takes 25 mins to swim a mile in still water

[deesam]

5)let no of members=x
and amount tobe paid by each is y
then xy=3120-->eq1
and (x-4)(y+26)=3120--->eq2
solving eq1 &2 we get x=24

[schava_pavan]

4) the answer is :24 min.......
bcoz.. according to the calculation...dist/speed=time taken
during down stream.... dist= 2miles.. and speed: speed(man)+speed(stream)=Xm+Xs
and time taken is 2/3hrs.
and during up stream dist =2miles and speed :speed(man)-speed(stream)=Xm-Xs
and time taken is 1hr..
so solving we get Xm=2.5miles/hr.(persons speed in still water)..
hence by solving.. time taken=dist/speed (dist=1 mile; speed =2.5miles/hr)
time taken=1/2.5=2/5hr....or 24 minutes.......