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Math Expert V
Joined: 02 Sep 2009
Posts: 58312
In the addition problem above, each of the symbols □, △, and ★ represe  [#permalink]

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Difficulty:   35% (medium)

Question Stats: 67% (01:13) correct 33% (01:14) wrong based on 409 sessions

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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

Kudos for a correct solution.

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Manager  B
Joined: 20 Feb 2013
Posts: 73
Location: India
GMAT 1: 690 Q49 V34 WE: Information Technology (Computer Software)
Re: In the addition problem above, each of the symbols □, △, and ★ represe  [#permalink]

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4

+△
___

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

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Manager  Joined: 27 Jan 2013
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Re: In the addition problem above, each of the symbols □, △, and ★ represe  [#permalink]

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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.
Manager  Joined: 21 Aug 2010
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GMAT 1: 700 Q49 V35 Re: In the addition problem above, each of the symbols □, △, and ★ represe  [#permalink]

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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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Math Expert V
Joined: 02 Sep 2009
Posts: 58312
Re: In the addition problem above, each of the symbols □, △, and ★ represe  [#permalink]

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

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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.
Intern  B
Joined: 24 Sep 2016
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Location: United States (CT)
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Re: In the addition problem above, each of the symbols □, △, and ★ represe  [#permalink]

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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.
Math Expert V
Joined: 02 Sep 2009
Posts: 58312
Re: In the addition problem above, each of the symbols □, △, and ★ represe  [#permalink]

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

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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] 23 Jul 2019, 19:59
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