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In the addition problem above, each of the symbols □, △, and ★ represe

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In the addition problem above, each of the symbols □, △, and ★ represe [#permalink]

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New post 22 Dec 2014, 09:04
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Tough and Tricky questions: Arithmetic.




+△
___

In the addition problem above, each of the symbols □, △, and ★ represents a positive digit. If □ < △,what is the value of △ ?

(1) ★ = 4
(2) □ = 1

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Re: In the addition problem above, each of the symbols □, △, and ★ represe [#permalink]

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New post 22 Dec 2014, 10:17
3

+△
___

In the addition problem above, each of the symbols □, △, and ★ represents a positive digit. If □ < △,what is the value of △ ?

Statement 1: ★ = 4
Given □ < △, only one possibility □ = 1 and △ = 3 -- Sufficient

Statement 2: □ = 1
△ can be {2,3,4,5,6,7,8} -- Insufficient

Answer A
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Re: In the addition problem above, each of the symbols □, △, and ★ represe [#permalink]

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New post 22 Dec 2014, 20:37
1
Data to be derived from question. All the 3 figures are positive digit. Hence these numbers can be only between 1&9 (inclusive) and will be distinct as one as the square is smaller than triangle, which means both are different digits and adding two different +VE digits will give you a 3rd digit that is different from previous 2.

S(1): *=4. The possible combinations are 3,1 1,3 & 2,2. Since we know triangle is bigger than square it only leaves us with 1,3. Hence Suff.

S(2) Square=1. Which means triangle can be any number between 2-8 to satisfy above conditions. Hence N.S.

THus answer is A.
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Re: In the addition problem above, each of the symbols □, △, and ★ represe [#permalink]

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New post 23 Dec 2014, 11:29
1
Bunuel wrote:

Tough and Tricky questions: Arithmetic.




+△
___

In the addition problem above, each of the symbols □, △, and ★ represents a positive digit. If □ < △,what is the value of △ ?

(1) ★ = 4
(2) □ = 1

Kudos for a correct solution.



From Statement 1: ★=4; which Will give only one combination of □ and △ (1,3) since □ is less than △, △ should be 3 - Sufficient
Statement 2: □ = 1 from this △ can be any value greater than 1-not sufficient


Ans A
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Re: In the addition problem above, each of the symbols □, △, and ★ represe [#permalink]

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New post 24 Dec 2014, 08:11
Bunuel wrote:

Tough and Tricky questions: Arithmetic.




+△
___

In the addition problem above, each of the symbols □, △, and ★ represents a positive digit. If □ < △,what is the value of △ ?

(1) ★ = 4
(2) □ = 1

Kudos for a correct solution.


The correct answer is A.

Check other Addition/Subtraction/Multiplication Tables problems from our Special Questions Directory
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Collection of Questions:
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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: In the addition problem above, each of the symbols □, △, and ★ represe [#permalink]

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New post 30 Jan 2017, 17:44
Where in the problem does it state that the number has to be an integer? All it says is that the three symbols correspond to a positive digit so the Triangle and Square can be any infinite number of combinations -1 (since the triangle is bigger) therefore the answer must be C.
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Re: In the addition problem above, each of the symbols □, △, and ★ represe [#permalink]

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New post 30 Jan 2017, 17:44
Where in the problem does it state that the number has to be an integer? All it says is that the three symbols correspond to a positive digit so the Triangle and Square can be any infinite number of combinations -1 (since the triangle is bigger) therefore the answer must be C.
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Re: In the addition problem above, each of the symbols □, △, and ★ represe [#permalink]

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New post 31 Jan 2017, 07:40
gjonrexha wrote:
Where in the problem does it state that the number has to be an integer? All it says is that the three symbols correspond to a positive digit so the Triangle and Square can be any infinite number of combinations -1 (since the triangle is bigger) therefore the answer must be C.


There are only 10 digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. We are told that symbols represent positive digits, so they can be 1, 2, 3, 4, 5, 6, 7, 8, or 9.

Check more on number theory here: http://gmatclub.com/forum/math-number-theory-88376.html

Hope it helps.
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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: In the addition problem above, each of the symbols □, △, and ★ represe [#permalink]

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New post 02 Feb 2017, 20:15
Great work as usual Bünuel that helped a lot !


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Re: In the addition problem above, each of the symbols □, △, and ★ represe [#permalink]

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Re: In the addition problem above, each of the symbols □, △, and ★ represe   [#permalink] 21 Mar 2018, 08:32
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