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Set A contains all the even numbers between 2 and 50 inclusive. Set B contains all the even numbers between 102 and 150 inclusive. What is the difference between the sum of elements of set B and that of set A?
- a)2500
- b)5050
- c)11325
- d)6275
- e)2550
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Set A contains all the even numbers between 2 and 50 inclusive. Set B ...
SET A: {2, 4, 6, 8,...., 50}. Set of first 25 consecutive positive even numbers.
SET B: {102, 104, 106,....., 150}. Another set of 25 consecutive even numbers starting from 102.
Difference between 1st term of set A and that of set B is 100. Difference between 2nd term of set A and that of set B is 100.
Each term in set B is 100 more than the corresponding term in set A.
Each term in set B is 100 more than the corresponding term in set A.
So sum of the differences of all the terms is (100 + 100 + 100 + ....) = 25 * 100 = 2500.
Choice A is the correct answer.
Most Upvoted Answer
Set A contains all the even numbers between 2 and 50 inclusive. Set B ...
To find the difference between the sum of elements in Set A and Set B, we need to calculate the sum of each set separately and then subtract the sum of Set A from the sum of Set B.
Set A: Even numbers between 2 and 50 inclusive
Set B: Even numbers between 102 and 150 inclusive
Calculating the sum of Set A:
We know that the set contains all even numbers between 2 and 50 inclusive. To find the sum, we can use the formula for the sum of an arithmetic series:
Sum = (first term + last term) * (number of terms) / 2
The first term in Set A is 2, the last term is 50, and the number of terms is (50-2)/2 + 1 = 25. Plugging these values into the formula:
Sum of Set A = (2 + 50) * (25) / 2 = 52 * 25 / 2 = 1300
Calculating the sum of Set B:
Similarly, we can find the sum of Set B using the same formula. The first term in Set B is 102, the last term is 150, and the number of terms is (150-102)/2 + 1 = 25.
Sum of Set B = (102 + 150) * (25) / 2 = 252 * 25 / 2 = 6300
Subtracting the sum of Set A from the sum of Set B:
Difference = Sum of Set B - Sum of Set A = 6300 - 1300 = 5000
Therefore, the difference between the sum of elements in Set B and Set A is 5000. However, none of the given answer choices match this result. Therefore, there may be an error in the answer choices provided.
Set A: Even numbers between 2 and 50 inclusive
Set B: Even numbers between 102 and 150 inclusive
Calculating the sum of Set A:
We know that the set contains all even numbers between 2 and 50 inclusive. To find the sum, we can use the formula for the sum of an arithmetic series:
Sum = (first term + last term) * (number of terms) / 2
The first term in Set A is 2, the last term is 50, and the number of terms is (50-2)/2 + 1 = 25. Plugging these values into the formula:
Sum of Set A = (2 + 50) * (25) / 2 = 52 * 25 / 2 = 1300
Calculating the sum of Set B:
Similarly, we can find the sum of Set B using the same formula. The first term in Set B is 102, the last term is 150, and the number of terms is (150-102)/2 + 1 = 25.
Sum of Set B = (102 + 150) * (25) / 2 = 252 * 25 / 2 = 6300
Subtracting the sum of Set A from the sum of Set B:
Difference = Sum of Set B - Sum of Set A = 6300 - 1300 = 5000
Therefore, the difference between the sum of elements in Set B and Set A is 5000. However, none of the given answer choices match this result. Therefore, there may be an error in the answer choices provided.
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Set A contains all the even numbers between 2 and 50 inclusive. Set B contains all the even numbers between 102 and 150 inclusive. What is the difference between the sum of elements of set B and that of set A?a)2500b)5050c)11325d)6275e)2550Correct answer is option 'A'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Set A contains all the even numbers between 2 and 50 inclusive. Set B contains all the even numbers between 102 and 150 inclusive. What is the difference between the sum of elements of set B and that of set A?a)2500b)5050c)11325d)6275e)2550Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Set A contains all the even numbers between 2 and 50 inclusive. Set B contains all the even numbers between 102 and 150 inclusive. What is the difference between the sum of elements of set B and that of set A?a)2500b)5050c)11325d)6275e)2550Correct answer is option 'A'. Can you explain this answer?.
Solutions for Set A contains all the even numbers between 2 and 50 inclusive. Set B contains all the even numbers between 102 and 150 inclusive. What is the difference between the sum of elements of set B and that of set A?a)2500b)5050c)11325d)6275e)2550Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
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Set A contains all the even numbers between 2 and 50 inclusive. Set B contains all the even numbers between 102 and 150 inclusive. What is the difference between the sum of elements of set B and that of set A?a)2500b)5050c)11325d)6275e)2550Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Set A contains all the even numbers between 2 and 50 inclusive. Set B contains all the even numbers between 102 and 150 inclusive. What is the difference between the sum of elements of set B and that of set A?a)2500b)5050c)11325d)6275e)2550Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Set A contains all the even numbers between 2 and 50 inclusive. Set B contains all the even numbers between 102 and 150 inclusive. What is the difference between the sum of elements of set B and that of set A?a)2500b)5050c)11325d)6275e)2550Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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