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A student was asked to find 5/16 of a number. By mistake he found 5/6 of that number. His answer was 250 more than the correct answer. Find the given number.
- a)300
- b)480
- c)450
- d)500
Correct answer is option 'B'. Can you explain this answer?
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A student was asked to find 5/16 of a number. By mistake he found 5/6 ...
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A student was asked to find 5/16 of a number. By mistake he found 5/6 ...
To solve this problem, we need to set up an equation based on the given information.
Let's assume the number we are trying to find is "x".
- First, the student mistakenly found 5/6 of the number instead of 5/16.
- So, the student's answer is (5/6)x.
- The correct answer, which is 5/16 of the number, is (5/16)x.
According to the given information, the student's answer was 250 more than the correct answer. So, we can set up the equation as follows:
(5/6)x = (5/16)x + 250
Now, let's solve this equation to find the value of "x".
Multiplying both sides of the equation by 16 and 6 to eliminate the denominators, we get:
16 * (5/6)x = 6 * (5/16)x + 16 * 250
Simplifying:
(80/6)x = (30/16)x + 4000
Multiplying both sides by 48 to get rid of the fractions:
48 * (80/6)x = 48 * (30/16)x + 48 * 4000
Simplifying:
640x = 90x + 192,000
Now, let's simplify further:
640x - 90x = 192,000
550x = 192,000
Dividing both sides by 550:
x = 192,000 / 550
x ≈ 349.09
Therefore, the given number is approximately 349.09.
Since this number is not one of the options provided, we can conclude that none of the options given are correct.
Let's assume the number we are trying to find is "x".
- First, the student mistakenly found 5/6 of the number instead of 5/16.
- So, the student's answer is (5/6)x.
- The correct answer, which is 5/16 of the number, is (5/16)x.
According to the given information, the student's answer was 250 more than the correct answer. So, we can set up the equation as follows:
(5/6)x = (5/16)x + 250
Now, let's solve this equation to find the value of "x".
Multiplying both sides of the equation by 16 and 6 to eliminate the denominators, we get:
16 * (5/6)x = 6 * (5/16)x + 16 * 250
Simplifying:
(80/6)x = (30/16)x + 4000
Multiplying both sides by 48 to get rid of the fractions:
48 * (80/6)x = 48 * (30/16)x + 48 * 4000
Simplifying:
640x = 90x + 192,000
Now, let's simplify further:
640x - 90x = 192,000
550x = 192,000
Dividing both sides by 550:
x = 192,000 / 550
x ≈ 349.09
Therefore, the given number is approximately 349.09.
Since this number is not one of the options provided, we can conclude that none of the options given are correct.
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A student was asked to find 5/16 of a number. By mistake he found 5/6 of that number. His answer was 250 more than the correct answer. Find the given number.a)300b)480c)450d)500Correct answer is option 'B'. Can you explain this answer?
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A student was asked to find 5/16 of a number. By mistake he found 5/6 of that number. His answer was 250 more than the correct answer. Find the given number.a)300b)480c)450d)500Correct answer is option 'B'. Can you explain this answer? for Teaching 2024 is part of Teaching preparation. The Question and answers have been prepared according to the Teaching exam syllabus. Information about A student was asked to find 5/16 of a number. By mistake he found 5/6 of that number. His answer was 250 more than the correct answer. Find the given number.a)300b)480c)450d)500Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Teaching 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A student was asked to find 5/16 of a number. By mistake he found 5/6 of that number. His answer was 250 more than the correct answer. Find the given number.a)300b)480c)450d)500Correct answer is option 'B'. Can you explain this answer?.
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