Aptitude - Simplification - Discussion
Discussion Forum : Simplification - General Questions (Q.No. 8)
8.
A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 27 times, A has killed:
Answer: Option
Explanation:
Let the total number of shots be x. Then,
Shots fired by A = | 5 | x |
8 |
Shots fired by B = | 3 | x |
8 |
Killing shots by A = | 1 | of | 5 | x | = | 5 | x |
3 | 8 | 24 |
Shots missed by B = | 1 | of | 3 | x | = | 3 | x |
2 | 8 | 16 |
![]() |
3x | = 27 or x = | ![]() |
27 x 16 | ![]() |
= 144. |
16 | 3 |
Birds killed by A = | 5x | = | ![]() |
5 | x 144 | ![]() |
= 30. |
24 | 24 |
Discussion:
40 comments Page 2 of 4.
Sudip said:
8 years ago
A:B=5:3.
Let no. of shots by A= 5x and B= 3x.
A kills after every 3 shots,
No. of birds killed by A= 5x/3.
B kills after every 2 shots,
No. of birds killed by B= 3x/2.
No. of shots missed by B= 3x-3x/2= 3x/2=27.
Therefore x= 27 x 2/3= 18.
No. of birds killed by A in that time= 5x/3= 5*18/3= 30.
Let no. of shots by A= 5x and B= 3x.
A kills after every 3 shots,
No. of birds killed by A= 5x/3.
B kills after every 2 shots,
No. of birds killed by B= 3x/2.
No. of shots missed by B= 3x-3x/2= 3x/2=27.
Therefore x= 27 x 2/3= 18.
No. of birds killed by A in that time= 5x/3= 5*18/3= 30.
(15)
Siva said:
8 years ago
Well explained, Thanks @Smrithi.
(1)
Danish said:
8 years ago
Superb @Smrithi.
Malay giri said:
8 years ago
A-27*5=135,
b-27*3=81,
a-b=135-81,
=54/3=18,
A-18*5=90,
A=90/3=30.
b-27*3=81,
a-b=135-81,
=54/3=18,
A-18*5=90,
A=90/3=30.
(1)
Taniya said:
8 years ago
Thanks for your explanation @Kajora.
Srinivas said:
8 years ago
Detail explanation of above problem please give me.
SAI RAM said:
8 years ago
Thank you all.
Richa said:
8 years ago
Good job @Kajora.
Dory said:
8 years ago
So if B kills once in 3 shots, miss shots by B = ( 1-(1/3) ) * (3x/8)?
Jas said:
9 years ago
Total shots = 8.
A = 5/8.
B = 3/8.
A succeed 3times in 5/8 shots = 5/24.
B failed 2 times in 3/8 shots = 3/16.
Let total shots = x
B's failed = 3x/16.
Given 3x/16 = 27, x= 144.
Sub in A 5x/24 --> 5x144/24 --> A=30.
A = 5/8.
B = 3/8.
A succeed 3times in 5/8 shots = 5/24.
B failed 2 times in 3/8 shots = 3/16.
Let total shots = x
B's failed = 3x/16.
Given 3x/16 = 27, x= 144.
Sub in A 5x/24 --> 5x144/24 --> A=30.
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