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Directions for Questions: 1600 satellites were sent up by a country for several purposes. The purposes are classified as broadcasting (B), communication (C), surveillance (S), and others (O). A satellite can serve multiple purposes; however a satellite serving either B, or C, or S does not serve O. The following facts are known about the satellites:
1 . The numbers of satellites serving B, C, and S (though may be not exclusively) are in the ratio 2:1:1.
2. The number of satellites serving all three of B, C, and S is 100.
3. The number of satellites exclusively serving C is the same as the number of satellites exclusively serving S. This number is 30% of the number of satellites exclusively serving B.
4. The number of satellites serving O is the same as th e number of satellites serving both C and S but not B.
1 . The numbers of satellites serving B, C, and S (though may be not exclusively) are in the ratio 2:1:1.
2. The number of satellites serving all three of B, C, and S is 100.
3. The number of satellites exclusively serving C is the same as the number of satellites exclusively serving S. This number is 30% of the number of satellites exclusively serving B.
4. The number of satellites serving O is the same as th e number of satellites serving both C and S but not B.
(2018)
Q. If the number of satellites serving at least two among B, C, and S is 1200, which of the following MUST be FALSE?
- a)The number of satellites serving B is more than 1000
- b)The number of satellites serving B exclusively is exactly 250
- c)All 1600 satellites serve B or C or S
- d)The number of satellites serving C cannot be uniquely determined
Correct answer is option 'D'. Can you explain this answer?
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Directions for Questions: 1600 satellites were sent up by a country fo...
It is given that the satellites serving either B, C or S do not serve O.
From (1), let the number of satellites serving B, C and S be 2K, K, K respectively.
Let the number of satellites exclusively serving B be x.
From (3), the number of satellites exclusively serving C and exclusively serving S will each be 0.3x
From (4), the number of satellites serving O is same as the number of satellites serving C and S but not B. Let the number be y.
Since the number of satellites serving C is same as the number of satellites serving S, we can say that (number of satellites serving only B and C) + 0.3x + 100 + y = (number of satellites serving only B and S) + 0.3x + 100 + y
∴ The number of satellites serving only B and C = the number of satellites serving only B and S = Z (let)
Therefore, the venn diagram will be as follows
Given that there are a total of 1600 satellites
∴ x + z + 0.3x + z + 100 + y + 0.3x + y = 1600
⇒ 1.6x + 2y + 2z = 1500 …(i)
Also k = 0.3x + z + y +100
and 2k = x + 2z + 100
⇒ 2(0.3x + z + y + 100) = x + 2z + 100
⇒ 0.4x = 2y + 100
⇒ x = 5y + 250 …(ii)
From equation (i) and (ii) we will get
1.6 (5y + 250) + 2y + 2z = 1500
Z = 550 – 5y … (iii)
The number of satellites serving at least two of B, C or S = number of satellites serving exactly two of B, C or S + Number of satellites serving all the three
= z + z + y + 100
= 2(550 – 5y) + y + 100
= 1200 – 9y.
Given that this is equal to 1200
∴1200 – 9y = 1200 ⇒ y = 0
If y = 0, then x = 5y + 250 = 250
and z = 550 – 5y = 550
No. of satellites serving C k = z + 0.3x + 100 + y
= 550 + 0.3 × 250 + 100 + y = 725
No. of satellites serving B = 2k = 2 × 725 = 1450.
From the given options, we can say that the option “the number of satellites serving C cannot be uniquely determined” must be False.
From (1), let the number of satellites serving B, C and S be 2K, K, K respectively.
Let the number of satellites exclusively serving B be x.
From (3), the number of satellites exclusively serving C and exclusively serving S will each be 0.3x
From (4), the number of satellites serving O is same as the number of satellites serving C and S but not B. Let the number be y.
Since the number of satellites serving C is same as the number of satellites serving S, we can say that (number of satellites serving only B and C) + 0.3x + 100 + y = (number of satellites serving only B and S) + 0.3x + 100 + y
∴ The number of satellites serving only B and C = the number of satellites serving only B and S = Z (let)
Therefore, the venn diagram will be as follows
Given that there are a total of 1600 satellites
∴ x + z + 0.3x + z + 100 + y + 0.3x + y = 1600
⇒ 1.6x + 2y + 2z = 1500 …(i)
Also k = 0.3x + z + y +100
and 2k = x + 2z + 100
⇒ 2(0.3x + z + y + 100) = x + 2z + 100
⇒ 0.4x = 2y + 100
⇒ x = 5y + 250 …(ii)
From equation (i) and (ii) we will get
1.6 (5y + 250) + 2y + 2z = 1500
Z = 550 – 5y … (iii)
The number of satellites serving at least two of B, C or S = number of satellites serving exactly two of B, C or S + Number of satellites serving all the three
= z + z + y + 100
= 2(550 – 5y) + y + 100
= 1200 – 9y.
Given that this is equal to 1200
∴1200 – 9y = 1200 ⇒ y = 0
If y = 0, then x = 5y + 250 = 250
and z = 550 – 5y = 550
No. of satellites serving C k = z + 0.3x + 100 + y
= 550 + 0.3 × 250 + 100 + y = 725
No. of satellites serving B = 2k = 2 × 725 = 1450.
From the given options, we can say that the option “the number of satellites serving C cannot be uniquely determined” must be False.
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Directions for Questions: 1600 satellites were sent up by a country for several purposes. The purposes are classified as broadcasting (B), communication (C), surveillance (S), and others (O). A satellite can serve multiple purposes; however a satellite serving either B, or C, or S does not serve O. The following facts are known about the satellites:1 . The numbers of satellites serving B, C, and S (though may be not exclusively) are in the ratio 2:1:1.2. The number of satellites serving all three of B, C, and S is 100.3. The number of satellites exclusively serving C is the same as the number of satellites exclusively serving S. This number is 30% of the number of satellites exclusively serving B.4. The number of satellites serving O is the same as th e number of satellites serving both C and S but not B.(2018)Q.If the number of satellites serving at least two among B, C, and S is 1200, which of the following MUST be FALSE?a)The number of satellites serving B is more than 1000b)The number of satellites serving B exclusively is exactly 250c)All 1600 satellites serve B or C or Sd)The number of satellites serving C cannot be uniquely determinedCorrect answer is option 'D'. Can you explain this answer?
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Directions for Questions: 1600 satellites were sent up by a country for several purposes. The purposes are classified as broadcasting (B), communication (C), surveillance (S), and others (O). A satellite can serve multiple purposes; however a satellite serving either B, or C, or S does not serve O. The following facts are known about the satellites:1 . The numbers of satellites serving B, C, and S (though may be not exclusively) are in the ratio 2:1:1.2. The number of satellites serving all three of B, C, and S is 100.3. The number of satellites exclusively serving C is the same as the number of satellites exclusively serving S. This number is 30% of the number of satellites exclusively serving B.4. The number of satellites serving O is the same as th e number of satellites serving both C and S but not B.(2018)Q.If the number of satellites serving at least two among B, C, and S is 1200, which of the following MUST be FALSE?a)The number of satellites serving B is more than 1000b)The number of satellites serving B exclusively is exactly 250c)All 1600 satellites serve B or C or Sd)The number of satellites serving C cannot be uniquely determinedCorrect answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Directions for Questions: 1600 satellites were sent up by a country for several purposes. The purposes are classified as broadcasting (B), communication (C), surveillance (S), and others (O). A satellite can serve multiple purposes; however a satellite serving either B, or C, or S does not serve O. The following facts are known about the satellites:1 . The numbers of satellites serving B, C, and S (though may be not exclusively) are in the ratio 2:1:1.2. The number of satellites serving all three of B, C, and S is 100.3. The number of satellites exclusively serving C is the same as the number of satellites exclusively serving S. This number is 30% of the number of satellites exclusively serving B.4. The number of satellites serving O is the same as th e number of satellites serving both C and S but not B.(2018)Q.If the number of satellites serving at least two among B, C, and S is 1200, which of the following MUST be FALSE?a)The number of satellites serving B is more than 1000b)The number of satellites serving B exclusively is exactly 250c)All 1600 satellites serve B or C or Sd)The number of satellites serving C cannot be uniquely determinedCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions for Questions: 1600 satellites were sent up by a country for several purposes. The purposes are classified as broadcasting (B), communication (C), surveillance (S), and others (O). A satellite can serve multiple purposes; however a satellite serving either B, or C, or S does not serve O. The following facts are known about the satellites:1 . The numbers of satellites serving B, C, and S (though may be not exclusively) are in the ratio 2:1:1.2. The number of satellites serving all three of B, C, and S is 100.3. The number of satellites exclusively serving C is the same as the number of satellites exclusively serving S. This number is 30% of the number of satellites exclusively serving B.4. The number of satellites serving O is the same as th e number of satellites serving both C and S but not B.(2018)Q.If the number of satellites serving at least two among B, C, and S is 1200, which of the following MUST be FALSE?a)The number of satellites serving B is more than 1000b)The number of satellites serving B exclusively is exactly 250c)All 1600 satellites serve B or C or Sd)The number of satellites serving C cannot be uniquely determinedCorrect answer is option 'D'. Can you explain this answer?.
Directions for Questions: 1600 satellites were sent up by a country for several purposes. The purposes are classified as broadcasting (B), communication (C), surveillance (S), and others (O). A satellite can serve multiple purposes; however a satellite serving either B, or C, or S does not serve O. The following facts are known about the satellites:1 . The numbers of satellites serving B, C, and S (though may be not exclusively) are in the ratio 2:1:1.2. The number of satellites serving all three of B, C, and S is 100.3. The number of satellites exclusively serving C is the same as the number of satellites exclusively serving S. This number is 30% of the number of satellites exclusively serving B.4. The number of satellites serving O is the same as th e number of satellites serving both C and S but not B.(2018)Q.If the number of satellites serving at least two among B, C, and S is 1200, which of the following MUST be FALSE?a)The number of satellites serving B is more than 1000b)The number of satellites serving B exclusively is exactly 250c)All 1600 satellites serve B or C or Sd)The number of satellites serving C cannot be uniquely determinedCorrect answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Directions for Questions: 1600 satellites were sent up by a country for several purposes. The purposes are classified as broadcasting (B), communication (C), surveillance (S), and others (O). A satellite can serve multiple purposes; however a satellite serving either B, or C, or S does not serve O. The following facts are known about the satellites:1 . The numbers of satellites serving B, C, and S (though may be not exclusively) are in the ratio 2:1:1.2. The number of satellites serving all three of B, C, and S is 100.3. The number of satellites exclusively serving C is the same as the number of satellites exclusively serving S. This number is 30% of the number of satellites exclusively serving B.4. The number of satellites serving O is the same as th e number of satellites serving both C and S but not B.(2018)Q.If the number of satellites serving at least two among B, C, and S is 1200, which of the following MUST be FALSE?a)The number of satellites serving B is more than 1000b)The number of satellites serving B exclusively is exactly 250c)All 1600 satellites serve B or C or Sd)The number of satellites serving C cannot be uniquely determinedCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions for Questions: 1600 satellites were sent up by a country for several purposes. The purposes are classified as broadcasting (B), communication (C), surveillance (S), and others (O). A satellite can serve multiple purposes; however a satellite serving either B, or C, or S does not serve O. The following facts are known about the satellites:1 . The numbers of satellites serving B, C, and S (though may be not exclusively) are in the ratio 2:1:1.2. The number of satellites serving all three of B, C, and S is 100.3. The number of satellites exclusively serving C is the same as the number of satellites exclusively serving S. This number is 30% of the number of satellites exclusively serving B.4. The number of satellites serving O is the same as th e number of satellites serving both C and S but not B.(2018)Q.If the number of satellites serving at least two among B, C, and S is 1200, which of the following MUST be FALSE?a)The number of satellites serving B is more than 1000b)The number of satellites serving B exclusively is exactly 250c)All 1600 satellites serve B or C or Sd)The number of satellites serving C cannot be uniquely determinedCorrect answer is option 'D'. Can you explain this answer?.
Solutions for Directions for Questions: 1600 satellites were sent up by a country for several purposes. The purposes are classified as broadcasting (B), communication (C), surveillance (S), and others (O). A satellite can serve multiple purposes; however a satellite serving either B, or C, or S does not serve O. The following facts are known about the satellites:1 . The numbers of satellites serving B, C, and S (though may be not exclusively) are in the ratio 2:1:1.2. The number of satellites serving all three of B, C, and S is 100.3. The number of satellites exclusively serving C is the same as the number of satellites exclusively serving S. This number is 30% of the number of satellites exclusively serving B.4. The number of satellites serving O is the same as th e number of satellites serving both C and S but not B.(2018)Q.If the number of satellites serving at least two among B, C, and S is 1200, which of the following MUST be FALSE?a)The number of satellites serving B is more than 1000b)The number of satellites serving B exclusively is exactly 250c)All 1600 satellites serve B or C or Sd)The number of satellites serving C cannot be uniquely determinedCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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Here you can find the meaning of Directions for Questions: 1600 satellites were sent up by a country for several purposes. The purposes are classified as broadcasting (B), communication (C), surveillance (S), and others (O). A satellite can serve multiple purposes; however a satellite serving either B, or C, or S does not serve O. The following facts are known about the satellites:1 . The numbers of satellites serving B, C, and S (though may be not exclusively) are in the ratio 2:1:1.2. The number of satellites serving all three of B, C, and S is 100.3. The number of satellites exclusively serving C is the same as the number of satellites exclusively serving S. This number is 30% of the number of satellites exclusively serving B.4. The number of satellites serving O is the same as th e number of satellites serving both C and S but not B.(2018)Q.If the number of satellites serving at least two among B, C, and S is 1200, which of the following MUST be FALSE?a)The number of satellites serving B is more than 1000b)The number of satellites serving B exclusively is exactly 250c)All 1600 satellites serve B or C or Sd)The number of satellites serving C cannot be uniquely determinedCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Directions for Questions: 1600 satellites were sent up by a country for several purposes. The purposes are classified as broadcasting (B), communication (C), surveillance (S), and others (O). A satellite can serve multiple purposes; however a satellite serving either B, or C, or S does not serve O. The following facts are known about the satellites:1 . The numbers of satellites serving B, C, and S (though may be not exclusively) are in the ratio 2:1:1.2. The number of satellites serving all three of B, C, and S is 100.3. The number of satellites exclusively serving C is the same as the number of satellites exclusively serving S. This number is 30% of the number of satellites exclusively serving B.4. The number of satellites serving O is the same as th e number of satellites serving both C and S but not B.(2018)Q.If the number of satellites serving at least two among B, C, and S is 1200, which of the following MUST be FALSE?a)The number of satellites serving B is more than 1000b)The number of satellites serving B exclusively is exactly 250c)All 1600 satellites serve B or C or Sd)The number of satellites serving C cannot be uniquely determinedCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for Directions for Questions: 1600 satellites were sent up by a country for several purposes. The purposes are classified as broadcasting (B), communication (C), surveillance (S), and others (O). A satellite can serve multiple purposes; however a satellite serving either B, or C, or S does not serve O. The following facts are known about the satellites:1 . The numbers of satellites serving B, C, and S (though may be not exclusively) are in the ratio 2:1:1.2. The number of satellites serving all three of B, C, and S is 100.3. The number of satellites exclusively serving C is the same as the number of satellites exclusively serving S. This number is 30% of the number of satellites exclusively serving B.4. The number of satellites serving O is the same as th e number of satellites serving both C and S but not B.(2018)Q.If the number of satellites serving at least two among B, C, and S is 1200, which of the following MUST be FALSE?a)The number of satellites serving B is more than 1000b)The number of satellites serving B exclusively is exactly 250c)All 1600 satellites serve B or C or Sd)The number of satellites serving C cannot be uniquely determinedCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of Directions for Questions: 1600 satellites were sent up by a country for several purposes. The purposes are classified as broadcasting (B), communication (C), surveillance (S), and others (O). A satellite can serve multiple purposes; however a satellite serving either B, or C, or S does not serve O. The following facts are known about the satellites:1 . The numbers of satellites serving B, C, and S (though may be not exclusively) are in the ratio 2:1:1.2. The number of satellites serving all three of B, C, and S is 100.3. The number of satellites exclusively serving C is the same as the number of satellites exclusively serving S. This number is 30% of the number of satellites exclusively serving B.4. The number of satellites serving O is the same as th e number of satellites serving both C and S but not B.(2018)Q.If the number of satellites serving at least two among B, C, and S is 1200, which of the following MUST be FALSE?a)The number of satellites serving B is more than 1000b)The number of satellites serving B exclusively is exactly 250c)All 1600 satellites serve B or C or Sd)The number of satellites serving C cannot be uniquely determinedCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Directions for Questions: 1600 satellites were sent up by a country for several purposes. The purposes are classified as broadcasting (B), communication (C), surveillance (S), and others (O). A satellite can serve multiple purposes; however a satellite serving either B, or C, or S does not serve O. The following facts are known about the satellites:1 . The numbers of satellites serving B, C, and S (though may be not exclusively) are in the ratio 2:1:1.2. The number of satellites serving all three of B, C, and S is 100.3. The number of satellites exclusively serving C is the same as the number of satellites exclusively serving S. This number is 30% of the number of satellites exclusively serving B.4. The number of satellites serving O is the same as th e number of satellites serving both C and S but not B.(2018)Q.If the number of satellites serving at least two among B, C, and S is 1200, which of the following MUST be FALSE?a)The number of satellites serving B is more than 1000b)The number of satellites serving B exclusively is exactly 250c)All 1600 satellites serve B or C or Sd)The number of satellites serving C cannot be uniquely determinedCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice CAT tests.
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