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Updated on: 17 Jan 2017, 01:20
Originally posted by PranavKumar on 16 Jan 2017, 10:35.
Last edited by Bunuel on 17 Jan 2017, 01:20, edited 2 times in total.
Last edited by Bunuel on 17 Jan 2017, 01:20, edited 2 times in total.
Edited the Question and added the OA.
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
76% (01:19) correct
24%
(01:20)
wrong
based on 117
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If X is a multiple of 5,what is the value of X?
(1) 1237 < X < 1242.5
(2) 3711 < 3X < 3727.5
(1) 1237 < X < 1242.5
(2) 3711 < 3X < 3727.5
This is unofficial question. I marked E for this. The pdf document says the answer is D.
On dividing statement (2) by 3, we get statement 1. Hence, both statements are same.
Way pdf solved it:
Only one integer multiple i.e. 1240 is present between this range. so this is sufficient => Ans = D
Way I solved it:
X is a multiple of 5 => X can be 1240 or 1240.5 or 1237.5, etc as all of them are multiple of 5, not necessary integral multiple! Ans = E
My Doubt - Am I going wrong somewhere i.e. It is very much necessary that a multiple of an integer (in this case, 5) has to be an integer (in this case, 1240)?
Or Is this question a poor quality question i.e a multiple of an integer (in this case, 5) need not be an integer (in this case, 1237.5 or 1238.995 or ...)?
Thanks!
On dividing statement (2) by 3, we get statement 1. Hence, both statements are same.
Way pdf solved it:
Only one integer multiple i.e. 1240 is present between this range. so this is sufficient => Ans = D
Way I solved it:
X is a multiple of 5 => X can be 1240 or 1240.5 or 1237.5, etc as all of them are multiple of 5, not necessary integral multiple! Ans = E
My Doubt - Am I going wrong somewhere i.e. It is very much necessary that a multiple of an integer (in this case, 5) has to be an integer (in this case, 1240)?
Or Is this question a poor quality question i.e a multiple of an integer (in this case, 5) need not be an integer (in this case, 1237.5 or 1238.995 or ...)?
Thanks!
16 Jan 2017, 10:53
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PranavKumar
Hi PranavKumar
Welcome to the GMAT-Club.
As for your doubt->On the GMAT-->The terms factors as well as multiples are used in reference explicitly to Integers.
So if 1237 < X < 1242.5 and a multiple of 5 => X must be 1240 only as it is the only integer that is divisible by 5.
Similarly if 3711 < 3X < 3727.5 => Dividing by 3 throughout the in equation would not affect it as 3 is a positive number.
=> 1237<X<1242.5 => X must be 1240 as it is the only multiple of X in the specified range.
Hence the answer would be D.
16 Jan 2017, 12:00
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Definition: In mathematics, a multiple is the product of any quantity and an integer. In other words, for the quantities a and b, we say that b is a multiple of a if b = na for some integer n, which is called the multiplier or coefficient. If a is not zero, this is equivalent to saying that b/a is an integer with no remainder.
let's take a simple value -
if i say 35 is a multiple of 5, then can write :
35 = 5k
k = 35/5 = 7
k is 7 i.e. integer
can i say 3.5 is a multiple of 5? No. Why? -
3.5 = 5k (like above)
k = 0.7, now we see k is not an integer.
Hence we cannot say 3.5 is a multiple of 5.
Similarly - 1240 is and 1237.5 is not a multiple of 5.
let's take a simple value -
if i say 35 is a multiple of 5, then can write :
35 = 5k
k = 35/5 = 7
k is 7 i.e. integer
can i say 3.5 is a multiple of 5? No. Why? -
3.5 = 5k (like above)
k = 0.7, now we see k is not an integer.
Hence we cannot say 3.5 is a multiple of 5.
Similarly - 1240 is and 1237.5 is not a multiple of 5.
in hurry, I just missed to see 3X in the second equation. I read it as X and so chose A 
