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07 May 2018, 02:33
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
96% (01:01) correct
4%
(01:23)
wrong
based on 122
sessions
History
Date
Time
Result
Not Attempted Yet
How many people in a group of 100 own neither a dog nor a cat?
(1) The total number of people in the group who own either a dog or a cat or both is less than 100.
(2) The total number of people in the group who own both a dog and a cat is 30.
(1) The total number of people in the group who own either a dog or a cat or both is less than 100.
(2) The total number of people in the group who own both a dog and a cat is 30.
07 May 2018, 02:54
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Solution
To find:
• Out of 100 people in a group, how many own neither a dog nor a cat
Analysing Statement 1
• As per the information given in Statement 1, total number of people in the group who own either a dog or a cat or both is less than 100
- o From this we can only conclude that number of people who own neither a dog nor a cat will be greater than 0
- o However, we cannot figure out the exact number
Analysing Statement 2
• As per the information given in Statement 2, total number of people in the group who own both a dog and a cat is 30
- o From this, we cannot find out the number of people owning either only cat or only dog
Combining Both Statements
• Considering both statements together, we can say the following:
- o number of people who own either a dog or a cat or both is less than 100
- o number of people in the group who own both a dog and a cat is 30
- o As we cannot find the exact value, we cannot get the answer
Hence, the correct answer is Option E.
Answer: E
23 Dec 2020, 06:20
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Bunuel
Total = Dogs (D) +Cats (C) -Both (B) +Neither (N)
100= Dogs (D) +Cats (C) -Both (B) +Neither (N)
(1) \(D+C<100\) No information about the specific number of D+C, and No information about B too. Insufficient.
(2) \(B=30\) but no information about D, and C; Insufficient.
Considering both:
\(B=30 \ but \ D+C<100\) can take numerous values less than 100; Insufficient.
The answer is \(E\).
