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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.
for ca foundation Quantitative aptitude?
Most Upvoted Answer
One student is asked to divide a half of a number by 6 and other half ...
Given information:
- Student was supposed to divide half of a number by 6 and the other half by 4, then add the two quantities.
- Instead, the student divided the number by 5.
- The answer was 4 short of the correct answer.

Let's solve the problem step by step:

Step 1: Set up the equation
Let the number be x.
According to the given information:
(1/2)x/6 + (1/2)x/4 = (x/2)/6 + (x/2)/4 = x/12 + x/8 = (2x + 3x)/24 = 5x/24
The student incorrectly divided x by 5, so the student's answer was x/5.
Given that the student's answer was 4 short of the correct answer:
x/5 = 5x/24 - 4

Step 2: Solve for x
x/5 = 5x/24 - 4
24x = 25x - 80
80 = x
Therefore, the number was 80.

Answer:
The correct answer is:
c) 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 these.for ca foundation Quantitative aptitude?
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