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How many integers are there between integers i and k, inclusive?
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29 Aug 2019, 23:39
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Competition Mode Question How many integers are there between integers i and k, inclusive? (1) k  i = 22 (2) There are 21 integers between, but not including, i + 1 and k + 1.
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Re: How many integers are there between integers i and k, inclusive?
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30 Aug 2019, 00:18
How many integers are there between integers i and k, inclusive? (1) k  i = 22 Let k=32 and i=10 3210+1=23 SO ki+1=22+1=23............. SUFFICIENT (2) There are 21 integers between, but not including, i + 1 and k + 1. k+1i1=21 > ki=21 without inclusion of k and i, it is 21 so add 2 to get inclusive number. SUFFICIENT imo answer is option D
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Re: How many integers are there between integers i and k, inclusive?
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30 Aug 2019, 01:01
Statement 1 is sufficient because knowing that ki =22 implies that there are 22+1 =23 integers between k and i both k and i inclusive.
Statement 2 is also sufficient. It is basically saying that k(i+1)=21. This means that i+1 was not counted and I was also not counted. Therefore total integers between k and i with both k and i inclusive =21+2=23.
The answer is therefore D imo
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Re: How many integers are there between integers i and k, inclusive?
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30 Aug 2019, 03:21
+ 1 and – 1 will affect result and it needs to be checked if the integers are inclusive or exclusive. (1) \(k  i = 22\) Snce nothing s gven about inclusivity or exclusivity the statement is INSUFFICIENT. (2) There are 21 integers between, but not including, \(i + 1\) and \(k + 1\) \(k + 1 – (i + 1) – 1\) would give the required answer since \(i +1\) and \(k + 1\) are not included. SUFFICIENT. Answer (B).
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Re: How many integers are there between integers i and k, inclusive?
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30 Aug 2019, 04:27
Asked: How many integers are there between integers i and k, inclusive? (1) k  i = 22 Number of integers between integers i and k, inclusive = ki + 1 = 22 + 1 = 23 SUFFICIENT (2) There are 21 integers between, but not including, i + 1 and k + 1. 21 = k  (i+2) +1 = k  i 2 + 1 k  i + 1 = 23 Number of integers between integers i and k, inclusive = 23 SUFFICIENT IMO D
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Re: How many integers are there between integers i and k, inclusive?
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30 Aug 2019, 05:09
IMO it's D. Each says the number of integers in between.
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Re: How many integers are there between integers i and k, inclusive?
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30 Aug 2019, 08:20
How many integers are there between integers i and k, inclusive?
(1) k  i = 22
(2) There are 21 integers between, but not including, i + 1 and k + 1.
#1 k=i+22 integers inclusive k& i ki +1 ; i+22i+1 ; 23 sufficient #2 There are 21 integers between, but not including, i + 1 and k + 1 so b/w i & k there will be 21+2 ; 23 integers IMO D



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Re: How many integers are there between integers i and k, inclusive?
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30 Aug 2019, 13:48
How many integers are there between integers i and k, inclusive?
we are asked how many no's are in between two integers.
(1) k  i = 22
If I = 23 and k = 1 satisfying condition kI = 22, there are total 23 integers. If I = 25 and k = 3 satisfying condition kI = 22, there are total 23 integers. Sufficient
(2) There are 21 integers between, but not including, i + 1 and k + 1. there are total 21 integers between I, and K but excluding (1) integer that is I+1. We don't care about k+1 because we don't have to count that based on our question. so, there are 22 integers total. Sufficient
D is the answer!



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Re: How many integers are there between integers i and k, inclusive?
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30 Aug 2019, 16:58
I think D?
Statement 1) just add one to the subtraction to get number of integers between; should not matter if negative? statement 2) Same as above?



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Re: How many integers are there between integers i and k, inclusive?
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30 Aug 2019, 19:34
Statement (1) is sufficient. Let k,23 and I, 1 So,KI=22.with out considering I,221=21. There are 21 integers between them. Option A Posted from my mobile device
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Re: How many integers are there between integers i and k, inclusive?
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31 Aug 2019, 07:24
Bunuel wrote: Competition Mode Question How many integers are there between integers i and k, inclusive? (1) k  i = 22 (2) There are 21 integers between, but not including, i + 1 and k + 1. Similar question: https://gmatclub.com/forum/howmanyint ... 40737.html
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Re: How many integers are there between integers i and k, inclusive?
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