In an examination, 85% of candidates passed. If 45 candidates failed, how many candidates sat for the exam?
Answer and explanation
Correct answer: B. 300
- Step 1: Percentage that failed = 100% - 85% = 15%. Step 2. If 15% of total candidates N = 45, then N = 45 ÷ 0.15 = 300 candidates. Answer: 300. Why not the others: 255 is the number of passing candidates (300 - 45); 350 assumes 12.8% failure; 400 assumes 11.25% failure.
Practise more Statistics, Probability and Everyday Arithmetic.
Free questions with an explanation for every one, and full timed Basic Education Certificate Examination mock tests.
More Statistics, Probability and Everyday Arithmetic questions
- The marks obtained by seven pupils in a science test are: 12, 15, 18, 14, 16, 15, and 15. What is the mode?
- Find the median of the following set of numbers: 8, 12, 5, 15, 22, 9, 17.
- Calculate the arithmetic mean of the scores: 6, 8, 11, 14, and 16.
- The mean of four numbers is 18. If three of the numbers are 14, 16, and 22, find the fourth number.
- What is the range of the test scores: 24, 38, 19, 45, 52, 31, and 28?
- A fair six-sided die is rolled once. What is the probability of obtaining a prime number?