Ques:- If you won $10 million lottery, would you still work?
Ques:- A rich man died. In his will, he has divided his gold coins among his 5 sons, 5 daughters and a manager. According to his will: First give one coin to manager. 1/5th of the remaining to the elder son.Now give one coin to the manager and 1/5th of the remaining to second son and so on….. After giving coins to 5th son, divided the remaining coins among five daughters equally.All should get full coins. Find the minimum number of coins he has?
Recent Answer : Added by Biplab Nath On 2021-07-31 16:35:53:
Answer: 3121 gold coins
Let total no of coins be M
Let the disbursement D to each son:
D1 = 1 + (M – 1)/5 = (M + 4)/5
D2 = 1 + ( M – D1 -1)/5 = (D1) * 4/5
D3= (D2) * 4/5
D4= (D3) * 4/5
D5= (D4) * 4/5
Total disbursements to sons=
= ∑D= (M+4)*1/5[ 1+4/5+(4/5)(4/5)+ (4/5)(4/5)(4/5)+(4/5)(4/5)(4/5)(4/5) ]
= (2101/3125)*(M+4)
Thus balance left for daughters =M-{(2101/3125)*(M+4)}
=(1024M-8404)/3125
This balance should be a positive integer ( assuming M and all disbursements are full coins )
Thus 1024M-8404 should be a multiple of 3125….so….
1024M – 8404 = N*3125 where N is an integer
Using Python code:
n=int(input(“Enter num n: “))
X=int()
a=int()
a=0
X=’ ‘
for a in range(0,n+1):
a=a+1
X= (3125*a + 8404)/1024
if (3125*a + 8404)% 1024== 0:
print(X,a)
Enter num n: 10000
3121.0 1020
6246.0 2044
9371.0 3068
12496.0 4092
15621.0 5116
18746.0 6140
21871.0 7164
24996.0 8188
28121.0 9212
We get minimum value of N = 1021 and M = 3121 gold coins
Ques:- A tank is filled in 5 hours by three pipes X, Y and Z. The pipe Z is twice as fast as Y and Y is twice as fast as X. How much time will pipe X alone take to fill the tank?
Recent Answer : Added by sahana u k On 2022-04-02 07:00:59:
35 hours
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Ques:- . One train leaves Bangalore at 15 kmp heading for Mysore. Another train leaves from Mysore at 20kmp heading for Bangalore on the same track. If a bird, flying at 25kmp, leaves from Bangalore at the same time as the train and flies back and forth between the two trains until they collide, how far will the bird have traveled?
Recent Answer : Added by Admin On 2020-05-17 12:05:20:
The answer is depend on the distance between Mysore &
Bangalore which is not given in the question.Bird
travel=Distance/35*25km
Ques:- How many numbers up to 100 are divisible by 7?
Recent Answer : Added by DK BOSS On 2021-07-30 16:27:11:
divide 100 by 7, and you get 14.28. (Obviously you aren’t talking about decimals here) and so 14 numbers can be divisible by 7 up to 100.
The answer is 14.
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Ques:- 36 people {a1, a2, …, a36} meet and shake hands in a circular fashion. In other words, there are totally 36 handshakes involving the pairs, {a1, a2}, {a2, a3}, …, {a35, a36}, {a36, a1}. Then size of the smallest set of people such that the res…
Recent Answer : Added by Admin On 2022-09-28 17:54:42:
answer is 12
bcoz
there are 36 people and atmost he can shake for 3 people so
36/3=
12
Ques:- Give me an example of a time when you tried to accomplish something and failed.
Ques:- Kamal started a business investing Rs. 9000. After five months, Sameer joined with a capital of Rs. 8000. If at the end of the year, they earn a profit of Rs. 6970, then what will be the share of Sameer in the profit?
Recent Answer : Added by Admin On 2022-09-29 15:55:33:
Now as per question, Kamal invested for 12 months and Sameer invested for 7 months.
So, Kamal:Sameer=(9000×12):(8000×7)
=108.56=27:14
Sameer ratio in profit will be =6970×4114=Rs.2380
Ques:- there was a swimming pool of squre shape and it is having four trees at four ends….how to double the size of swimming pool without cutting the trees…?
Recent Answer : Added by Admin On 2020-05-17 12:03:20:
Hi frnds I think U got wrong,
It was said that 4 ends not 4 corners
Here Ends are sides
So there is no way of extending a side
So the answer is incresing the depth
Ques:- List down 3 short-comings of yours
Ques:- A car travels a certain distance taking 7 hrs in forward journey, during the return journey increased speed 12km/hr takes the times 5 hrs.What is the distance travelled
A. 210 kms
B. 30 kms
C. 20 kms
D. none of these
Recent Answer : Added by Michael Torcaso On 2022-08-14 16:28:58:
Let d = 7r. And use distance is = rate × time
7r= ( r+12) 5
7r= 5r + 60
Subtract 5r from both sides
2r = 60
Divide out 2
Rate = 30 km/h
Original question 30 km/h × 7 = 210
30 +12 = 42× 5 = 210
Ques:- Two candles of equal lengths and of different thickness are there. The thicker one will last of six hours. The thinner 2 hours less than the thicker one. Ramesh light the two candles at the same time. When he went to bed he saw the thicker one is twice the length of the thinner one. For how long did Ramesh lit two candles .
Recent Answer : Added by Admin On 2020-05-17 11:59:20:
In 3 hours thinker candle becomes half
In the same time thinner candle becomes one fourth. Now the
required condition is satisfied. So 3 Hours
Ques:- (root 200) – (root 50) =?
Recent Answer : Added by Admin On 2020-05-17 12:00:01:
5*(root2)
Ques:- The length of a train and that of a platform are equal. If with a speed of 90 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is:
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Answer: 3121 gold coins
Let total no of coins be M
Let the disbursement D to each son:
D1 = 1 + (M – 1)/5 = (M + 4)/5
D2 = 1 + ( M – D1 -1)/5 = (D1) * 4/5
D3= (D2) * 4/5
D4= (D3) * 4/5
D5= (D4) * 4/5
Total disbursements to sons=
= ∑D= (M+4)*1/5[ 1+4/5+(4/5)(4/5)+ (4/5)(4/5)(4/5)+(4/5)(4/5)(4/5)(4/5) ]
= (2101/3125)*(M+4)
Thus balance left for daughters =M-{(2101/3125)*(M+4)}
=(1024M-8404)/3125
This balance should be a positive integer ( assuming M and all disbursements are full coins )
Thus 1024M-8404 should be a multiple of 3125….so….
1024M – 8404 = N*3125 where N is an integer
Using Python code:
n=int(input(“Enter num n: “))
X=int()
a=int()
a=0
X=’ ‘
for a in range(0,n+1):
a=a+1
X= (3125*a + 8404)/1024
if (3125*a + 8404)% 1024== 0:
print(X,a)
Enter num n: 10000
3121.0 1020
6246.0 2044
9371.0 3068
12496.0 4092
15621.0 5116
18746.0 6140
21871.0 7164
24996.0 8188
28121.0 9212
We get minimum value of N = 1021 and M = 3121 gold coins