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anik89
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VeritasPrepKarishma
anik89
In the sport of mixed martial arts (MMA), more than 30% of all fighters are skilled in both the Muy Thai and
Brazilian Jiu Jitsu styles of fighting. 20% of the fighters who are not skilled in Brazilian Jiu Jitsu are skilled in
Muy Thai. 60% of all fighters are skilled in Brazilian Jiu Jitsu.

what is The range of the percent of fighters who are skilled in Muy Thai ?

a. 18-38
b. 28-58
c. 38-68
d. 48-78
e.58- 88

Two types of martial arts are discussed: MT and JJ

60% of all are skilled in JJ. More than 30% are skilled in both. So less than 30% are skilled in ONLY JJ.

Attachment:
Ques3.jpg
Since 60% are skilled in JJ, 40% are not skilled in JJ. 20% of these are skilled in MT i.e. 20/100 * 40 = 8
So the pink region above is 8.

We need the range of the complete MT circle. It will be more than 8 + 30 = 38. It can take a maximum value of 68 since the orange region can at most be 60 (if all 60 JJ skilled are skilled in MT too).
So answer is (C)


thank you karishma
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Attachment:
kar.png
kar.png [ 5.02 KiB | Viewed 12944 times ]

1. Say total number of fighters = 100

2. Total BJJ are 6% = 60

3. Remaining (which are not BJJ) = 100 - 60 = 40

4. More than 30% know BJJ & MT combined = > 30

5. 20% of Not BJJ know MT = 20/100 * 40 = 8

6. Total knowing MT = 38+

Answer = C
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Let total = 100
60% are involved in B (B is Brazilian Jiu Jitsu styles of fighting)
so 40% of total (= 40) are not involved in B
20% of 40 are involved in M (M is Muy Thai) = 8
ANd the common area is more than 30.

So the least number of fighters who are skilled in M = 8 + 30 = 38
And max -> 8 + 60 = 68 (If all the fighters of B are fighters of M too)
Hence, range: 38 - 68.
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