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14 Oct 2021, 00:53
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Difficulty:
85%
(hard)
Question Stats:
32% (01:17) correct
68%
(01:23)
wrong
based on 158
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What is the range of set S ?
(1) Set S consists of 2,210 consecutive multiples of 13.
(2) The largest value in set S is 28,561, and this is the smallest value squared.
(1) Set S consists of 2,210 consecutive multiples of 13.
(2) The largest value in set S is 28,561, and this is the smallest value squared.
16 Oct 2021, 21:18
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What is the range of set S ?
Range: Difference between the two extremes, that is least and the greatest.
(1) Set S consists of 2,210 consecutive multiples of 13.
Thus, range is (2210-1)*13 as there are 2210-1 gaps.
Sufficient
(2) The largest value in set S is 28,561, and this is the smallest value squared.
Now, range is 28561-x, where x^2=28561.
If you realise immediately that x can be both positive and negative, you will not fall into the trap.
Thus we will have two ranges.
Insufficient
Values for statement II
\(x^2=28561\)
x=169….Range=28561-169=28392
x=-169….Range=28561-(-169)=28730.
Two values.
A
Note: Statement I should have said 2211 consecutive multiples of 13.
Range: Difference between the two extremes, that is least and the greatest.
(1) Set S consists of 2,210 consecutive multiples of 13.
Thus, range is (2210-1)*13 as there are 2210-1 gaps.
Sufficient
(2) The largest value in set S is 28,561, and this is the smallest value squared.
Now, range is 28561-x, where x^2=28561.
If you realise immediately that x can be both positive and negative, you will not fall into the trap.
Thus we will have two ranges.
Insufficient
Values for statement II
\(x^2=28561\)
x=169….Range=28561-169=28392
x=-169….Range=28561-(-169)=28730.
Two values.
A
Note: Statement I should have said 2211 consecutive multiples of 13.
MK1204
Joined: 26 Jan 2020
Last visit: 17 Dec 2022
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Location: India
Schools: Booth '24 Darden '24 Goizueta '24 Fuqua '24 Haas '24 ISB '23 Kelley '24 Kellogg '24 Wharton '24
GMAT 1: 700 Q49 V38
Schools: Booth '24 Darden '24 Goizueta '24 Fuqua '24 Haas '24 ISB '23 Kelley '24 Kellogg '24 Wharton '24
GMAT 1: 700 Q49 V38
Posts: 9
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16 Oct 2021, 21:35
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chetan2u in the 1st statement the smallest multiple of 13 is 13 and largest is 2210. So here can't I do 2210*13 (max value) - 13 (min. Value). Please let me know if I'm doing something wrong.
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