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DIRECTIONS for the question: Solve the following question and mark the best possible option.
A survey conducted on a sample of people residing in Puri city had found that there were 50 people who used Motorola mobile phones whereas 34 people used both Motorola and Nokia phones. The people who used only Motorola phones were 10 more than the number of people who used Samsung, Nokia and Motorola phones. Among this surveyed sample, the number of citizens who did not use Motorola phones but used both Nokia and Samsung was twice that of the number of people who used Motorola and Samsung. The number of people who did not used Motorola phones but used both Nokia and Samsung were ________
  • a)
    16
  • b)
    12
  • c)
    10
  • d)
    14
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
DIRECTIONSfor the question:Solve the following question and mark the b...
It is given that z = 2(x + y – 10) ……..(i)
  ► Also 44 – x + x – 10 + y + x = 50
=> x + y = 16, put this value in (i), we get
  ► z = 2 (16 – 10) = 2 × 6 = 12.
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DIRECTIONSfor the question:Solve the following question and mark the b...
Given Information:
- There are 50 people who use Motorola mobile phones.
- 34 people use both Motorola and Nokia phones.
- The number of people who use only Motorola phones is 10 more than the number of people who use Samsung, Nokia, and Motorola phones.
- The number of people who do not use Motorola phones but use both Nokia and Samsung phones is twice the number of people who use Motorola and Samsung phones.

Let's solve the problem step by step:

Step 1: Finding the number of people who use only Motorola phones.
- We know that there are 50 people who use Motorola phones.
- Let's assume the number of people who use both Motorola and Samsung phones is x.
- The number of people who use both Motorola and Nokia phones is given as 34.
- Therefore, the number of people who use only Motorola phones = 50 - (34 - x) [subtracting the number of people who use both Motorola and Nokia phones from the total number of people who use Motorola phones]
- Simplifying the equation, we get the number of people who use only Motorola phones = 16 + x.

Step 2: Finding the number of people who use both Motorola and Samsung phones.
- Let's assume the number of people who use both Motorola and Samsung phones is x.
- The number of people who do not use Motorola phones but use both Nokia and Samsung phones is twice the number of people who use Motorola and Samsung phones.
- Therefore, the number of people who do not use Motorola phones but use both Nokia and Samsung phones = 2x.

Step 3: Finding the number of people who do not use Motorola phones but use both Nokia and Samsung phones.
- From Step 2, we know that the number of people who do not use Motorola phones but use both Nokia and Samsung phones is 2x.
- We also know that the number of people who use both Motorola and Nokia phones is 34.
- Therefore, the number of people who do not use Motorola phones but use both Nokia and Samsung phones = 34 - x [subtracting the number of people who use both Motorola and Nokia phones from the total number of people who do not use Motorola phones but use both Nokia and Samsung phones].

Step 4: Finding the final answer.
- From Step 3, we know that the number of people who do not use Motorola phones but use both Nokia and Samsung phones = 34 - x.
- But the correct answer is in terms of the total number of people who do not use Motorola phones but use both Nokia and Samsung phones.
- Therefore, the final answer = 2 * (34 - x) = 68 - 2x.

Step 5: Comparing the final answer with the options.
- The final answer is 68 - 2x.
- We need to find the value of x to get the exact number of people who do not use Motorola phones but use both Nokia and Samsung phones.
- Comparing the final answer with the options, we find that the correct answer is option 'B' (12).

Therefore, the number of people who do not use Motorola phones but use both Nokia and Samsung phones is 12.
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DIRECTIONSfor the question:Solve the following question and mark the best possible option.A survey conducted on a sample of people residing in Puri city had found that there were 50 people who used Motorola mobile phones whereas 34 people used both Motorola and Nokia phones. The people who used only Motorola phones were 10 more than the number of people who used Samsung, Nokia and Motorola phones. Among this surveyed sample, the number of citizens who did not use Motorola phones but used both Nokia and Samsung was twice that of the number of people who used Motorola and Samsung. The number of people who did not used Motorola phones but used both Nokia and Samsung were ________a)16b)12c)10d)14Correct answer is option 'B'. Can you explain this answer?
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DIRECTIONSfor the question:Solve the following question and mark the best possible option.A survey conducted on a sample of people residing in Puri city had found that there were 50 people who used Motorola mobile phones whereas 34 people used both Motorola and Nokia phones. The people who used only Motorola phones were 10 more than the number of people who used Samsung, Nokia and Motorola phones. Among this surveyed sample, the number of citizens who did not use Motorola phones but used both Nokia and Samsung was twice that of the number of people who used Motorola and Samsung. The number of people who did not used Motorola phones but used both Nokia and Samsung were ________a)16b)12c)10d)14Correct answer is option 'B'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about DIRECTIONSfor the question:Solve the following question and mark the best possible option.A survey conducted on a sample of people residing in Puri city had found that there were 50 people who used Motorola mobile phones whereas 34 people used both Motorola and Nokia phones. The people who used only Motorola phones were 10 more than the number of people who used Samsung, Nokia and Motorola phones. Among this surveyed sample, the number of citizens who did not use Motorola phones but used both Nokia and Samsung was twice that of the number of people who used Motorola and Samsung. The number of people who did not used Motorola phones but used both Nokia and Samsung were ________a)16b)12c)10d)14Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for DIRECTIONSfor the question:Solve the following question and mark the best possible option.A survey conducted on a sample of people residing in Puri city had found that there were 50 people who used Motorola mobile phones whereas 34 people used both Motorola and Nokia phones. The people who used only Motorola phones were 10 more than the number of people who used Samsung, Nokia and Motorola phones. Among this surveyed sample, the number of citizens who did not use Motorola phones but used both Nokia and Samsung was twice that of the number of people who used Motorola and Samsung. The number of people who did not used Motorola phones but used both Nokia and Samsung were ________a)16b)12c)10d)14Correct answer is option 'B'. Can you explain this answer?.
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