How many even three-digit numbers can be formed from the digits 1, 2, 3, 4, 5 if no digit is repeated?
Answer and explanation
Correct answer: A. 24 numbers
- Step 1: The units digit must be 2 or 4: 2 choices.
- Step 2: The hundreds digit has 4 choices left and the tens digit has 3: 2 x 4 x 3 = 24.
Answer
24 numbers.
Why not the others: 60 includes odd numbers, 36 miscounts the even digits, and 12 skips a position.
Practise more Logical-Mathematical Ability.
Free questions with an explanation for every one, and full timed Examen Admisión UNMSM (Peru) mock tests.
More Logical-Mathematical Ability questions
- What is the next term in the series 3, 7, 15, 31, 63, ...?
- In a class the ratio of boys to girls is 2 : 3. If there are 45 students in total, how many girls are there?
- A shirt costs 500 soles. It is discounted by 20% and then by a further 10% of the reduced price. What is the final price?
- Find the next term: 2, 6, 12, 20, 30, ...
- A train 120 m long travels at constant speed and passes a pole in 8 seconds. How long does it need to cross a bridge 180 m long, from the fr…
- Pedro can paint a fence in 12 days and Rosa can paint it in 24 days. Working together at their usual rates, how many days do they need?