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In entrance test the ratio of appeared to successful students was 7: 3. If 343 students appeared in the test, how many got through it?Options563147715605

Question

In entrance test the ratio of appeared to successful students was 7:3.

If 343 students appeared in the test, how many got through it?

Options:

  • 563
  • 147
  • 715
  • 605
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Solution

The problem involves a ratio of appeared to successful students, which is 7:3. This means that for every 7 students that appeared, 3 were successful.

Step 1: Find the total parts in the ratio. The total parts in the ratio is 7 (for appeared students) + 3 (for successful students) = 10 parts.

Step 2: Find the value of each part. If 343 students appeared in the test, and this represents 7 parts of the ratio, then each part is worth 343 / 7 = 49 students.

Step 3: Find the number of successful students. If each part is worth 49 students, and the successful students represent 3 parts of the ratio, then the number of successful students is 49 * 3 = 147 students.

So, 147 students got through the test.

This problem has been solved

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