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One student is asked to divide a half of a number by 6 and other half by 4 and then to add the two quantities. Instead of doing so the student divides the given number by 5. If the answer is 4 short of the correct answer then the number was 
  • a)
    320
  • b)
    400
  • c)
    480
  • d)
    none of these 
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
One student is asked to divide a half of a number by 6 and other half ...

Problem: One student is asked to divide a half of a number by 6 and other half by 4 and then to add the two quantities. Instead of doing so the student divides the given number by 5. If the answer is 4 short of the correct answer then the number was



  • a)320

  • b)400

  • c)480

  • d)none of these





Solution:
Let's assume the given number as 'x'.

According to the given question, one half of the number divided by 6 and the other half divided by 4 are added. So, the expression for the given question is:

(x/2)/6 + (x/2)/4

Simplifying the above expression, we get:

x/12 + x/8 = (2x+3x)/24 = 5x/24

The above expression is the correct answer if the student had followed the instructions correctly.

But the student divided the given number by 5. So, the expression the student got is:

x/5

According to the given question, the student's answer is 4 less than the correct answer. So, we can write:

x/5 = 5x/24 - 4

Simplifying the above equation, we get:

24x = 25x - 480

x = 480

Therefore, the given number is 480.

Thus, the correct option is (c) 480.

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Community Answer
One student is asked to divide a half of a number by 6 and other half ...
Let the number be x.
[(x/2)÷6] + [(x/2)÷4] = x/5 + 4
x/12 + x/8 - x/5 = 4
(10x+15x-24x)/120 = 4
25x - 24x = 4 × 120
x = 480.
The required number is _480_.
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One student is asked to divide a half of a number by 6 and other half by 4 and then to add the two quantities. Instead of doing so the student divides the given number by 5. If the answer is 4 short of the correct answer then the number wasa)320b)400c)480d)none of theseCorrect answer is option 'C'. Can you explain this answer?
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