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The tenths digit of the product of two even integers divided by 4 Man
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21 Feb 2023, 09:32
21 Feb 2023, 09:32
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Question Stats:
70% (01:32) correct
29% (01:13) wrong based on 17 sessions
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Quantity A |
Quantity B |
The tenths digit of the product of two even integers divided by 4 |
The tenths digit of the product of an even and an odd integer divided by 4 |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Re: The tenths digit of the product of two even integers divided by 4 Man
[#permalink]
17 Mar 2023, 11:45
17 Mar 2023, 11:45
Expert Reply
OE
This question could be solved either by trying out numbers or making a chart. For Quantity A, the product of two even integers will always divide evenly by 4 because each even number has a 2 in its prime tree. For instance, 2 × 2 = 4, 2 × 4 = 8, and 2 × 6 = 12. All of these numbers are divisible by 4, and the integer that results after dividing by 4 will always have a zero in the tenths digit.
4 ÷ 4 = 1.0, 8 ÷ 4 = 2.0, 12 ÷ 4 = 3.0
The product of an even and an odd integer could be divisible by 4, which would mean that its tenths digit was 0. For example, 4 × 5 = 20, and 20/4=5 the tenths digit of which is 0. However, it could also not be divisible by 4. For example, 2 × 5 = 10, and 10/4=2.5 the tenths digit of which is 5. Because the two quantities could be equal or different, the answer must be choice (D). Therefore, the relationship cannot be determined from the information given.
This question could be solved either by trying out numbers or making a chart. For Quantity A, the product of two even integers will always divide evenly by 4 because each even number has a 2 in its prime tree. For instance, 2 × 2 = 4, 2 × 4 = 8, and 2 × 6 = 12. All of these numbers are divisible by 4, and the integer that results after dividing by 4 will always have a zero in the tenths digit.
4 ÷ 4 = 1.0, 8 ÷ 4 = 2.0, 12 ÷ 4 = 3.0
The product of an even and an odd integer could be divisible by 4, which would mean that its tenths digit was 0. For example, 4 × 5 = 20, and 20/4=5 the tenths digit of which is 0. However, it could also not be divisible by 4. For example, 2 × 5 = 10, and 10/4=2.5 the tenths digit of which is 5. Because the two quantities could be equal or different, the answer must be choice (D). Therefore, the relationship cannot be determined from the information given.
gmatclubot
Re: The tenths digit of the product of two even integers divided by 4 Man [#permalink]
17 Mar 2023, 11:45
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