plzz solve these questions

[sweet_madhu]

1>Mr. T has a wrong weighing pan.One arm is lengthier than other.1 kilogram on left balances 8 melons on right.1 kilogram on right balances 2 melons on left.If all melons are equal in weight,what is the weight of a single melon?

2>There are 3 types of apples in a box. What is the number of apples we should take so that we end up with 3 apples of one kind.

3>Three customers want haircut and a shave. In a saloon, two barbers operate at same speed. They take quarter of an hour for the haircut and 5 mins for the shave. How quickly can they finish the haircut and shave of these three customers?
Ans: 30 minutes

4>Some guy holding a glass of wine in his hand looking around in the room says, "This is same as it was four years ago, how old are your two kids now?" Other guy says "Three now,Pam had one more in the meanwhile."
Pam says, "If you multiply their ages, answer is 96 and if you add the ages of first two kids, addition is same as our house number."
The first guy says, "You are very smart but that doesn't tell me their ages." Pam says, "It's very simple, just think." What are the ages of three kids?

5>Three clocks where set to true time. First run with the exact time. Second slows one minute/day. Third gains one minute/day. After how many days they will show true time.

plzz tell me the answers of these questions..........

[aayushkaistha]

1>Mr. T has a wrong weighing pan.One arm is lengthier than other.1 kilogram on left balances 8 melons on right.1 kilogram on right balances 2 melons on left.If all melons are equal in weight,what is the weight of a single melon?
let weight of 1 melon be W
let length of one side be L1 and other be L2

1 kilogram on left balances 8 melons on right

torque on both sides must be equal

L1 = L2 * 8W

or,

L1/L2 = 8W -----------------------------(i)

1 kilogram on right balances 2 melons on left

so,

L1 * 2W = L2

L1/L2 = 1/2W ----------------(ii)

equating (i) and (ii)

1/2W = 8W

W square = 1/16

W = 1/4 kg

[aayushkaistha]

2>There are 3 types of apples in a box. What is the number of apples we should take so that we end up with 3 apples of one kind.

Ans: 7

let 3 types of apples be A, B, C

if we take out 6 apples...
then in the worst case, we can have 2 apples of each kind

but we want that there should be a guarantee that 3 apples of 1 kind will be pulled out...

so, if we pick up 7 apples.. it is sure that at least one type of apples will be 3 in number...

[aayushkaistha]

5>Three clocks where set to true time. First run with the exact time. Second slows one minute/day. Third gains one minute/day. After how many days they will show true time.

the 3 clockes will show same time, when the slower watch becomes exactly 12 hrs behind n faster becomes exactly 12 hrs ahead

now 12 hrs = 720 min

these watches gain n lose 1 min per day...

so all three clocks will show true time after 720 days

[aayushkaistha]

3>Three customers want haircut and a shave. In a saloon, two barbers operate at same speed. They take quarter of an hour for the haircut and 5 mins for the shave. How quickly can they finish the haircut and shave of these three customers?

i got the ans as 35 min.

let the 3 persons be A, B, and C

it takes 15 min to cut hair n 5 min to shave...

in the 1st 15 min, A n B get their hair cut.
in next 15 min, C gets his hair cut by 1st barber...

during the same time, the 2nd barber can shave A n B

the 2nd barber has 5 min spare...
if he can shave C, simultaneously while 1st barber is cutting hair.. then all 3 will be free in 30 min

otherwise, it will take 5 min extra for shaving C...