Ques:- Two trains are on same track and they are coming toward each other. The speed of first train is 50 KMs/h and the speed of second train is 70 KMs/h. A bee starts flying between the trains when the distance between two trains is 100 KMs. The bee first flies from first train to second train. Once it reaches the second train, it flies back to the second train ? and so on until trains collide. Calculate the total distance traveled by the bee. Speed of bee is 40 KMs/h. .
Recent Answer : Added by DK BOSS On 2021-07-15 09:17:12:
Answer: 66.67 km approx.
Solution:
Let the first train A move at u km/h.
Let the second train B move at v km/h.
Let the distance between two trains be d km
Let the speed of bee be b km/h
Therefore, the time taken by trains to collide = d/(u+v)
Now putting all the known values into the above equation, we get,
u = 50 km/hr
v = 70 km/hr
d = 100 km
b = 80 km/hr
Therfore, the total distance travelled by bee
= b*d/(u+v)
= 80 * 100/(50+70)
= 66.67 km (approx)
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Ques:- Four sisters- Suvarna, Tara, Uma and Vibha are playing a game such that the loser doubles the money of each of the other players from her share. They played four games and each sister lost one game in alphabetical order. At the end of fourth game, each sister has Rs. 32. Who started with the highest amount?
Recent Answer : Added by Vinay K On 2022-09-24 14:33:35:
Let Suvarna, Tara, Uma and Vibha be S,T,U,V respectively
initially in the beginning each persons share be
V = x U = y T = z
S = w = (x+y+z+32) Reason: She has to double others share, so she should have each and everyone’s share and still should be left out with 32
after 1st Round of game
S loses and is out with 32 and doubles the others share
V = 2x U = 2y T = 2z
After 2nd Round of game
T loses and is out with 32 and doubles the others share
V = 4x U = 4y
This means T had 2z = 2x + 2y + 32
After 3rd round of game
U looses and is out with 32 and doubles others share
V = 8x
This means U initially has 4y = 4x + 32
In the end V = 8x = 32
Solving this we get x = 4, y = 12, z = 32 and w = 80
There fore Suvarna had highest share in the beginning
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Ques:- Rajan got married 8 years ago. His present age is 6/5 times his age at the time of his marriage. Rajan’s sister was 10 years younger to him at the time of his marriage. The age of Rajan’s sister is:
Recent Answer : Added by Admin On 2022-09-29 18:35:16:
38 years
Let Rajan’s present age be x years. Then, his age at the time of marriage = (x – 8) years.
x = 65(x−8)
⇒5x=6x−48
⇒x=48 years
Rajan’s sister’s age at the time of his marriage = (x – 8) – 10 = (x – 18) = 30 years
∴ Rajan’s sister’s present age = (30 + 8) years = 38 years
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Recent Answer : Added by Prathyush On 2021-11-13 15:43:18:
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Recent Answer : Added by Khagesh On 2022-10-17 15:58:03:
25
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Recent Answer : Added by janane On 2022-08-14 16:31:06:
16
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Recent Answer : Added by DK BOSS On 2021-07-17 10:05:33:
5/55*100=9.09% defective eggs
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A. Terylene
B. Poplin
C. Terry cot
D. Rubia
Recent Answer : Added by Sushmitha On 2020-12-09 15:07:33:
A
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Ques:- A man spends half of his salary on household expenses, 1/4th for rent, 1/5th for travel expenses, the man deposits the rest in a bank. If his monthly deposits in the bank amount 50, what is his monthly salary ?(a) Rs.500(b) Rs.1500(c) Rs.1000(d) Rs. 900
Recent Answer : Added by DK BOSS On 2021-07-17 06:22:58:
option c is the answer
as
1/2 for household
1/4 for rent
1/5 for travel
remaining for deposit in bank(i.e) 1/2+1/4+1/5=19/20 ; 1-19/20=1/20
so 1/20 for deposit
1/20(x)=50
hence x=1000
option c is the answer
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Recent Answer : Added by Pijus Ghosh On 2021-12-17 16:08:32:
562.
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Recent Answer : Added by MAMIDI LIJITA SREE On 2023-01-21 17:36:46:
12
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Recent Answer : Added by Yadu Krishnan S On 2022-08-14 16:42:43:
72
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Recent Answer : Added by DK BOSS On 2021-07-30 16:27:10:
Answer: 5400
Explanation:
100x + 400 = 12(x – 5)
x = 50
100 * 50 + 400 = 5400
Ques:- Are you residing in rented house/own house?
Answer: 66.67 km approx.
Solution:
Let the first train A move at u km/h.
Let the second train B move at v km/h.
Let the distance between two trains be d km
Let the speed of bee be b km/h
Therefore, the time taken by trains to collide = d/(u+v)
Now putting all the known values into the above equation, we get,
u = 50 km/hr
v = 70 km/hr
d = 100 km
b = 80 km/hr
Therfore, the total distance travelled by bee
= b*d/(u+v)
= 80 * 100/(50+70)
= 66.67 km (approx)