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If k is an integer such that 56 < k < 66, what is the value

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If k is an integer such that 56 < k < 66, what is the value [#permalink] New post 06 Dec 2012, 06:56
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If k is an integer such that 56 < k < 66, what is the value of k ?

(1) If k were divided by 2, the remainder would be 1.
(2) If k + 1 were divided by 3, the remainder would be 0.
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Re: If k is an integer such that 56 < k < 66, what is the value [#permalink] New post 06 Dec 2012, 06:59
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If k is an integer such that 56 < k < 66, what is the value of k ?

(1) If k were divided by 2, the remainder would be 1 --> k is an odd number, thus it could be 57, 59, 61, 63, or 65. Not sufficient.

(2) If k + 1 were divided by 3, the remainder would be 0 --> k is 1 less than a multiple of 3, thus it could be 59, 62, or 65. Not sufficient.

(1)+(2) k could still take more than one value: 59 or 65. Not sufficient.

Answer: E.
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Re: If k is an integer such that 56 < k < 66, what is the value [#permalink] New post 21 Oct 2013, 18:53
Bunuel wrote:
If k is an integer such that 56 < k < 66, what is the value of k ?

(1) If k were divided by 2, the remainder would be 1 --> k is an odd number, thus it could be 57, 59, 61, 63, or 65. Not sufficient.

(2) If k + 1 were divided by 3, the remainder would be 0 --> k is 1 less than a multiple of 3, thus it could be 59, 62, or 65. Not sufficient.

(1)+(2) k could still take more than one value: 59 or 65. Not sufficient.

Answer: E.



Hi Bunuel

Could you please explain the last part , I am still not able to figure out how E is the answer


Regards
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Re: If k is an integer such that 56 < k < 66, what is the value [#permalink] New post 21 Oct 2013, 20:56
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DivyanshuRohatgi wrote:
Bunuel wrote:
If k is an integer such that 56 < k < 66, what is the value of k ?

(1) If k were divided by 2, the remainder would be 1 --> k is an odd number, thus it could be 57, 59, 61, 63, or 65. Not sufficient.

(2) If k + 1 were divided by 3, the remainder would be 0 --> k is 1 less than a multiple of 3, thus it could be 59, 62, or 65. Not sufficient.

(1)+(2) k could still take more than one value: 59 or 65. Not sufficient.

Answer: E.



Hi Bunuel

Could you please explain the last part , I am still not able to figure out how E is the answer


Regards


From (1) k can be: 57, 59, 61, 63, or 65.
From (2) k can be: 59, 62, or 65.

Thus k can be 59, or 65. Two different answers. Hence not sufficient.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: If k is an integer such that 56 < k < 66, what is the value   [#permalink] 21 Oct 2013, 20:56
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