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20 Jun 2018, 01:48
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[GMAT math practice question]
If the product of 5 different positive integers is less than 200, what is the greatest possible value for the largest of these 5 integers?
A. 3
B. 6
C. 7
D. 8
E. 9
If the product of 5 different positive integers is less than 200, what is the greatest possible value for the largest of these 5 integers?
A. 3
B. 6
C. 7
D. 8
E. 9
20 Jun 2018, 02:53
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a*b*c*d*e < 200
Let us consider 'e' is largest integer
Since all are positive integers, for 'e' to be largest --> a,b,c,d should be smallest.
Given that all integers different, 4 lowest positive integers are 1,2,3,4
1*2*3*4*e < 200
e < (200/24)
e < 8.33
Since 'e' is highest integer, answer is 8
Let us consider 'e' is largest integer
Since all are positive integers, for 'e' to be largest --> a,b,c,d should be smallest.
Given that all integers different, 4 lowest positive integers are 1,2,3,4
1*2*3*4*e < 200
e < (200/24)
e < 8.33
Since 'e' is highest integer, answer is 8
General Discussion
20 Jun 2018, 02:44
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MathRevolution
[GMAT math practice question]
If the product of 5 different positive integers is less than 200, what is the greatest possible value for the largest of these 5 integers?
A. 3
B. 6
C. 7
D. 8
E. 9
If the product of 5 different positive integers is less than 200, what is the greatest possible value for the largest of these 5 integers?
A. 3
B. 6
C. 7
D. 8
E. 9
All 5 are different positive integers, so largest has to be at least 5..
Nearest in choice is 6..
Moreover take the smallest possible value for other 4 so 1*2*3*4=24
The fifth will be <200/24..
100/11=25/3=8+1/3..
Thus the largest will be 8 and value will be
8*1*4*3*2=192<200
D
