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Greatest Number

by harsh.champ » Wed Feb 17, 2010 4:03 am
Find the greatest number which divides 285 and 1249,leaving remainders 9 and 7 respectively.

(A)138
(B)128
(C)118
(D)148
(E)158
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by komal » Wed Feb 17, 2010 4:18 am
harsh.champ wrote:Find the greatest number which divides 285 and 1249,leaving remainders 9 and 7 respectively.

(A)138
(B)128
(C)118
(D)148
(E)158
Correct answer (A) i just mentally divided 285 by 138, remainder of which is 7 and selected this answer. Did the same with 1249. Wish someone would show a better approach.
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by amittilak » Wed Feb 17, 2010 4:50 am
Hi,
I used following approach:
Subtracting 9 from 285 gives us 276, which must be a multiple of one of the correct answer choices. Clearly, we can see that the answer must be 138. To recheck, subtract 7 from 1249, which gives us 1242. 1242 = 138 * 9
Harsh, can you please post the source for this question. I thought that the answer choices in GMAT are ALWAYS in ascending order. The arrangement of these answer choices dosen't look right.
komal wrote:
harsh.champ wrote:Find the greatest number which divides 285 and 1249,leaving remainders 9 and 7 respectively.

(A)138
(B)128
(C)118
(D)148
(E)158
Correct answer (A) i just mentally divided 285 by 138, remainder of which is 7 and selected this answer. Did the same with 1249. Wish someone would show a better approach.
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by shashank.ism » Wed Feb 17, 2010 10:10 am
harsh.champ wrote:Find the greatest number which divides 285 and 1249,leaving remainders 9 and 7 respectively.

(A)138
(B)128
(C)118
(D)148
(E)158
285-9 = 276 which is clearly 23x3x2
1249 -7=1242 = 2x3x3x3x23
HCF = 2x3x23 =138 Just use the simple concept of HCF Ans A
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by harsh.champ » Wed Feb 17, 2010 10:55 pm
amittilak wrote:Hi,
I used following approach:
Subtracting 9 from 285 gives us 276, which must be a multiple of one of the correct answer choices. Clearly, we can see that the answer must be 138. To recheck, subtract 7 from 1249, which gives us 1242. 1242 = 138 * 9
Harsh, can you please post the source for this question. I thought that the answer choices in GMAT are ALWAYS in ascending order. The arrangement of these answer choices dosen't look right.
komal wrote:
harsh.champ wrote:Find the greatest number which divides 285 and 1249,leaving remainders 9 and 7 respectively.

(A)138
(B)128
(C)118
(D)148
(E)158
Correct answer (A) i just mentally divided 285 by 138, remainder of which is 7 and selected this answer. Did the same with 1249. Wish someone would show a better approach.
Hey amittilak,
That was a good approach adopted by you.As for the answer choices,I had purposely set them in random order just to make the question more challenging.Well,Can a question in GMAT never come in random order(instead of ascending or descending)?Just asking.Anyways from next time,I will post the ques. in the normal order only.Thanks for informing!!
It takes time and effort to explain, so if my comment helped you please press Thanks button :)



Just because something is hard doesn't mean you shouldn't try,it means you should just try harder.

"Keep Walking" - Johnny Walker :P
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