What Is The Units Digit Of The Product Of Any Five Consecutive Positive Integers GMAT Problem Solving

Question: What is the units digit of the product of any five consecutive positive integers?

1. 0
2. 2
3. 4
4. 6
5. 8

“What is the units digit of the product of any five consecutive positive integers''- is a topic of the GMAT Quantitative reasoning section of the GMAT exam. GMAT quant section tests the mathematical aptitudes of the students. The students must choose the correct answer choices by calculating the sum accurately on the basis of proper calculations. The candidates must know the notions of arithmetic, algebra and geometry to solve GMAT Problem Solving questions. The candidates must hold quantitative skills to solve the calculative problems of the GMAT Quant topic in the problem-solving part. The candidates can enhance their knowledge by answering more questions from the book “GMAT Official Advanced Questions”.

Solution and Explanation:

Approach Solution 1:

The problem statement asked to find out the units digit of the product of any five consecutive positive integers.

If any five consecutive positive numbers are considered, then it will follow certain factors:

1. One multiple of 5 will be present there in the series.
2. At least there will be always two multiples of 2.

Now, if a multiple of 5 is multiplied by an even number (multiple of 2), then the product will always be a multiple of 10.
Therefore, the unit digit of the product will be 0.

Correct Answer: (A)

Approach Solution 2:

The problem statement asked to find:

• the units digit of the product of any five consecutive positive integers.

The product of five consecutive numbers will always hold prime factors of 2 and 5.
Therefore, the units digit of the product of the numbers will always have zero in the end.
Therefore, the unit digit of the product will be 0

Correct Answer: (A)

Approach Solution 3:

The problem statement asked to find out the units digit of the product of any five consecutive positive integers.

As we know that the product of any five successive numbers is divisible by 5! = 120
Therefore, the unit digit of the product ought to be 0.

Correct Answer: (A)

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