Question

A basket is filled with eggs numbered from 2 to 50. If Steve removed all the eggs numbered with prime numbers and put them in a separate basket, how many eggs are remaining in the original basket?

• A. 34
• B. 44
• C. 49
• D. 24

Answer 1

The correct option is A 34

Total number of eggs in the basket
= 50 − 1
$\therefore$ There are 49 eggs in the basket at the start.

Prime numbers from 2 to 50:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, and 47

$\therefore$ There are 15 prime numbers from 2 to 50. In other words, there are 15 eggs numbered by a prime number. These eggs are put in a different basket.

$\therefore$ No. of eggs left = 49 - 15

Hence, there are 34 eggs remaining in the original basket.