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Each of the four boxes- A,B,C,D contains a different variety of fruits from apples, bananas,mangoes,and oranges,not necessarily in the same order. The number of fruits in each of the four boxes is distinct and the total number of fruits in all boxes put together is 15. If boxes A contain mangoes,then box C contain neither apples nor oranges. If box D contain apples, then box B contain bananas. Question 1: if box A contain only 2 mangoes, which is less that the number of fruits in any other box then which of the following statement can be true (a) Box D contain 6 bananas (b) Box B contain 5 apples (c) Box C contains 3 bananas (d) Box C contains 5 bananas?
Most Upvoted Answer
Each of the four boxes- A,B,C,D contains a different variety of fruits...
Understanding the Problem
To solve the problem, we need to analyze the conditions provided systematically:
- Total fruits = 15
- Distinct number of fruits in each box
- Box A contains mangoes and has 2 fruits.
- Box C contains neither apples nor oranges.
- If Box D contains apples, then Box B must contain bananas.
Given that Box A has 2 mangoes, we can denote the number of fruits in each box as follows:
- Box A = 2 (mangoes)
- Box B = x
- Box C = y
- Box D = z
Since the total number is 15, we have:
2 + x + y + z = 15 → x + y + z = 13
Also, x, y, z must be distinct integers and greater than 2.
Evaluating the Options
1. Option (a): Box D contains 6 bananas
- If Box D = 6, then x + y = 7. The only distinct numbers that fit (and are greater than 2) are 3 and 4.
- This is a valid possibility.
2. Option (b): Box B contains 5 apples
- If Box B = 5, then y + z = 8, leading to distinct integers greater than 5 which cannot satisfy the total of 13.
- This option is invalid.
3. Option (c): Box C contains 3 bananas
- If Box C = 3, then x + z = 10. Possible pairs are (4, 6), which are distinct and valid.
- This is a valid possibility.
4. Option (d): Box C contains 5 bananas
- If Box C = 5, then x + z = 8, leading to pairs (3, 5) which are not distinct.
- This option is invalid.
Conclusion
The statements that can be true are:
- (a) Box D contains 6 bananas
- (c) Box C contains 3 bananas
Hence, options (a) and (c) are valid under the given conditions.
To solve the problem, we need to analyze the conditions provided systematically:
- Total fruits = 15
- Distinct number of fruits in each box
- Box A contains mangoes and has 2 fruits.
- Box C contains neither apples nor oranges.
- If Box D contains apples, then Box B must contain bananas.
Given that Box A has 2 mangoes, we can denote the number of fruits in each box as follows:
- Box A = 2 (mangoes)
- Box B = x
- Box C = y
- Box D = z
Since the total number is 15, we have:
2 + x + y + z = 15 → x + y + z = 13
Also, x, y, z must be distinct integers and greater than 2.
Evaluating the Options
1. Option (a): Box D contains 6 bananas
- If Box D = 6, then x + y = 7. The only distinct numbers that fit (and are greater than 2) are 3 and 4.
- This is a valid possibility.
2. Option (b): Box B contains 5 apples
- If Box B = 5, then y + z = 8, leading to distinct integers greater than 5 which cannot satisfy the total of 13.
- This option is invalid.
3. Option (c): Box C contains 3 bananas
- If Box C = 3, then x + z = 10. Possible pairs are (4, 6), which are distinct and valid.
- This is a valid possibility.
4. Option (d): Box C contains 5 bananas
- If Box C = 5, then x + z = 8, leading to pairs (3, 5) which are not distinct.
- This option is invalid.
Conclusion
The statements that can be true are:
- (a) Box D contains 6 bananas
- (c) Box C contains 3 bananas
Hence, options (a) and (c) are valid under the given conditions.
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Each of the four boxes- A,B,C,D contains a different variety of fruits from apples, bananas,mangoes,and oranges,not necessarily in the same order. The number of fruits in each of the four boxes is distinct and the total number of fruits in all boxes put together is 15. If boxes A contain mangoes,then box C contain neither apples nor oranges. If box D contain apples, then box B contain bananas. Question 1: if box A contain only 2 mangoes, which is less that the number of fruits in any other box then which of the following statement can be true (a) Box D contain 6 bananas (b) Box B contain 5 apples (c) Box C contains 3 bananas (d) Box C contains 5 bananas?
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Each of the four boxes- A,B,C,D contains a different variety of fruits from apples, bananas,mangoes,and oranges,not necessarily in the same order. The number of fruits in each of the four boxes is distinct and the total number of fruits in all boxes put together is 15. If boxes A contain mangoes,then box C contain neither apples nor oranges. If box D contain apples, then box B contain bananas. Question 1: if box A contain only 2 mangoes, which is less that the number of fruits in any other box then which of the following statement can be true (a) Box D contain 6 bananas (b) Box B contain 5 apples (c) Box C contains 3 bananas (d) Box C contains 5 bananas? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Each of the four boxes- A,B,C,D contains a different variety of fruits from apples, bananas,mangoes,and oranges,not necessarily in the same order. The number of fruits in each of the four boxes is distinct and the total number of fruits in all boxes put together is 15. If boxes A contain mangoes,then box C contain neither apples nor oranges. If box D contain apples, then box B contain bananas. Question 1: if box A contain only 2 mangoes, which is less that the number of fruits in any other box then which of the following statement can be true (a) Box D contain 6 bananas (b) Box B contain 5 apples (c) Box C contains 3 bananas (d) Box C contains 5 bananas? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Each of the four boxes- A,B,C,D contains a different variety of fruits from apples, bananas,mangoes,and oranges,not necessarily in the same order. The number of fruits in each of the four boxes is distinct and the total number of fruits in all boxes put together is 15. If boxes A contain mangoes,then box C contain neither apples nor oranges. If box D contain apples, then box B contain bananas. Question 1: if box A contain only 2 mangoes, which is less that the number of fruits in any other box then which of the following statement can be true (a) Box D contain 6 bananas (b) Box B contain 5 apples (c) Box C contains 3 bananas (d) Box C contains 5 bananas?.
Each of the four boxes- A,B,C,D contains a different variety of fruits from apples, bananas,mangoes,and oranges,not necessarily in the same order. The number of fruits in each of the four boxes is distinct and the total number of fruits in all boxes put together is 15. If boxes A contain mangoes,then box C contain neither apples nor oranges. If box D contain apples, then box B contain bananas. Question 1: if box A contain only 2 mangoes, which is less that the number of fruits in any other box then which of the following statement can be true (a) Box D contain 6 bananas (b) Box B contain 5 apples (c) Box C contains 3 bananas (d) Box C contains 5 bananas? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Each of the four boxes- A,B,C,D contains a different variety of fruits from apples, bananas,mangoes,and oranges,not necessarily in the same order. The number of fruits in each of the four boxes is distinct and the total number of fruits in all boxes put together is 15. If boxes A contain mangoes,then box C contain neither apples nor oranges. If box D contain apples, then box B contain bananas. Question 1: if box A contain only 2 mangoes, which is less that the number of fruits in any other box then which of the following statement can be true (a) Box D contain 6 bananas (b) Box B contain 5 apples (c) Box C contains 3 bananas (d) Box C contains 5 bananas? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Each of the four boxes- A,B,C,D contains a different variety of fruits from apples, bananas,mangoes,and oranges,not necessarily in the same order. The number of fruits in each of the four boxes is distinct and the total number of fruits in all boxes put together is 15. If boxes A contain mangoes,then box C contain neither apples nor oranges. If box D contain apples, then box B contain bananas. Question 1: if box A contain only 2 mangoes, which is less that the number of fruits in any other box then which of the following statement can be true (a) Box D contain 6 bananas (b) Box B contain 5 apples (c) Box C contains 3 bananas (d) Box C contains 5 bananas?.
Solutions for Each of the four boxes- A,B,C,D contains a different variety of fruits from apples, bananas,mangoes,and oranges,not necessarily in the same order. The number of fruits in each of the four boxes is distinct and the total number of fruits in all boxes put together is 15. If boxes A contain mangoes,then box C contain neither apples nor oranges. If box D contain apples, then box B contain bananas. Question 1: if box A contain only 2 mangoes, which is less that the number of fruits in any other box then which of the following statement can be true (a) Box D contain 6 bananas (b) Box B contain 5 apples (c) Box C contains 3 bananas (d) Box C contains 5 bananas? in English & in Hindi are available as part of our courses for UPSC.
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Here you can find the meaning of Each of the four boxes- A,B,C,D contains a different variety of fruits from apples, bananas,mangoes,and oranges,not necessarily in the same order. The number of fruits in each of the four boxes is distinct and the total number of fruits in all boxes put together is 15. If boxes A contain mangoes,then box C contain neither apples nor oranges. If box D contain apples, then box B contain bananas. Question 1: if box A contain only 2 mangoes, which is less that the number of fruits in any other box then which of the following statement can be true (a) Box D contain 6 bananas (b) Box B contain 5 apples (c) Box C contains 3 bananas (d) Box C contains 5 bananas? defined & explained in the simplest way possible. Besides giving the explanation of
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ample number of questions to practice Each of the four boxes- A,B,C,D contains a different variety of fruits from apples, bananas,mangoes,and oranges,not necessarily in the same order. The number of fruits in each of the four boxes is distinct and the total number of fruits in all boxes put together is 15. If boxes A contain mangoes,then box C contain neither apples nor oranges. If box D contain apples, then box B contain bananas. Question 1: if box A contain only 2 mangoes, which is less that the number of fruits in any other box then which of the following statement can be true (a) Box D contain 6 bananas (b) Box B contain 5 apples (c) Box C contains 3 bananas (d) Box C contains 5 bananas? tests, examples and also practice UPSC tests.
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