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29 Jan 2024, 02:30
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D
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Difficulty:
45%
(medium)
Question Stats:
59% (01:20) correct
41%
(01:24)
wrong
based on 111
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If the product of five consecutive integers is non-zero, what is the count of negative numbers among them?
(1) The largest of these numbers is less than 5.
(2) At least one number is negative.
(1) The largest of these numbers is less than 5.
(2) At least one number is negative.
There are 5 consecutive integers. If the product of the 5 numbers is not zero, what is the number of the negative numbers of them?
1) The greatest number of the 5 numbers is less than 5.
2) At least one of the 5 numbers is negative.
1) The greatest number of the 5 numbers is less than 5.
2) At least one of the 5 numbers is negative.
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
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Aryaa03
Joined: 12 Jun 2023
Last visit: 19 Feb 2026
Posts: 200
Given Kudos: 159
Location: India
Schools: ISB '27 (A) IIM Calcutta '26 (A) IIMA '26 (D)
GMAT Focus 1: 645 Q86 V81 DI78 
29 Jan 2024, 06:37
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Bunuel
Sol: IMO- Option-D
The product of five consecutive numbers is non-zero ===> 0 is not one of the numbers. Therefore, all five numbers are either positive or negative.
St-1:
The largest of these numbers is less than 5.
This means that maximum positive no. can be 4, but in that case one of the five nos. will be a 0, which is not what question stem allows.
Hence, all numbers are less than 0 and all five numbers are negative.
Sufficient
St-2:
At least one number is negative.
If at east one number is negative, all have to be negative or else the product of numbers will be 0.
Hence, all 5 nos. are negative.
Sufficient
29 Jan 2024, 07:00
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This is a very simple one.
It is said that product of 5 consecutive integers is non-zero. That tells us that none of the integers is 0.
Statement 1 ->
largest integer is less than 5.
Now if the integers are consecutive and non-zero, we can't have an option like {0,1,2,3,4} or {-1,0,1,2,3} like that.
Only possible solution is all integers are negative. So {-1,-2,-3,-4,-5} or {-2,-3,-4,-5,-6} like that.
So this statement is sufficient.
Statement 2 ->
It says at least one integers is negative.
Think of the number line. If the other integers would want to be positive they have to come through 0 and so one of
them will capture the value of 0, which we cannot afford. So here too, all the integers have to be negative.
Hence, this statement is also sufficient.
So both of the statements are individually sufficient to come to the conclusion.
Hence, answer option D
It is said that product of 5 consecutive integers is non-zero. That tells us that none of the integers is 0.
Statement 1 ->
largest integer is less than 5.
Now if the integers are consecutive and non-zero, we can't have an option like {0,1,2,3,4} or {-1,0,1,2,3} like that.
Only possible solution is all integers are negative. So {-1,-2,-3,-4,-5} or {-2,-3,-4,-5,-6} like that.
So this statement is sufficient.
Statement 2 ->
It says at least one integers is negative.
Think of the number line. If the other integers would want to be positive they have to come through 0 and so one of
them will capture the value of 0, which we cannot afford. So here too, all the integers have to be negative.
Hence, this statement is also sufficient.
So both of the statements are individually sufficient to come to the conclusion.
Hence, answer option D
