12 Days of Christmas GMAT Competition - Day 1: David deposits money

Question

12 Days of Christmas 2024 - 2025 Competition with $40,000 of Prizes

David deposits money into three accounts: Account A, Account B, and Account C. Two of the deposits are equal, while the third deposit is a different amount. Is the deposit in Account B larger than the deposit in Account C?

(1) The deposit in Account A is greater than the deposit in Account B.
(2) The deposit in Account A is greater than the deposit in Account C.

Bunuel · Accepted Answer

GMAT Club's Official Explanation:

David deposits money into three accounts: Account A, Account B, and Account C. Two of the deposits are equal, while the third deposit is a different amount. Is the deposit in Account B larger than the deposit in Account C?

(1) The deposit in Account A is greater than the deposit in Account B.

Two cases:

The deposits in Accounts A and C are equal, making the deposit in Account C also greater than that in Account B (NO answer). 
 The deposits in Accounts B and C are equal, making the deposit in Account B the same as that in Account C (NO answer).

Since both scenarios lead to the same conclusion (the deposit in Account B is not greater than that in Account C), the statement is sufficient.

(2) The deposit in Account A is greater than the deposit in Account C.

Two cases:

The deposits in Accounts A and B are equal, making the deposit in Account B also greater than that in Account C (YES answer). 
 The deposits in Accounts B and C are equal, making the deposit in Account B the same as that in Account C (NO answer).

Not sufficient.

Answer: A.

webarebears · Answer

David deposits money into three accounts: Account A, Account B, and Account C. Two of the deposits are equal, while the third deposit is a different amount. Is the deposit in Account B larger than the deposit in Account C?

(1) The deposit in Account A is greater than the deposit in Account B.
Since two are equal, if A a is greater than B, than either A is equal to C or B is equal to C
NOT SUFFICIENT

(2) The deposit in Account A is greater than the deposit in Account C.
Since two are equal, if A a is greater than C, than either A is equal to C or B is equal to C
NOT SUFFICIENT

(1) and (2)
The deposit in Account A is greater than the deposit in Account B and C
Then, B is equal to C
SUFFICIENT (C)

Kinshook · Answer

David deposits money into three accounts: Account A, Account B, and Account C. Two of the deposits are equal, while the third deposit is a different amount. 
Is the deposit in Account B larger than the deposit in Account C?

(1) The deposit in Account A is greater than the deposit in Account B.
Case 1: Deposits in Account A & Account C are equal
The deposit in Account B is NOT larger than the deposit in Account C
Case 2: Deposits in Account B & Account C are equal
The deposit in Account B is NOT larger than the deposit in Account C
Combining above 2 cases
 The deposit in Account B is NOT larger than the deposit in Account C 
SUFFICIENT

(2) The deposit in Account A is greater than the deposit in Account C.
Case 1: Deposits in Account A & Account B are equal
The deposit in Account B is larger than the deposit in Account C
Case 2: Deposits in Account B & Account C are equal
The deposit in Account B is NOT larger than the deposit in Account C
NOT SUFFICIENT

IMO A

Nutella024 · Answer

Given conditions: 
 
 Two of the deposits are equal, and the third is different. 
 We need to evaluate if B>CB > CB>C.  
 
 Statement (1): 
"The deposit in Account A is greater than the deposit in Account B."
This implies A>BA > BA>B.
 
 Since two of the deposits are equal, there are two possibilities:
 
 B=CB = CB=C, so BBB is not larger than CCC (they are equal). 
 A=CA = CA=C, so C>BC > BC>B, and BBB is not larger than CCC.  
  
In either case, B>CB > CB>C is  false .
 Statement (1) alone is sufficient. 
 
 Statement (2): 
"The deposit in Account A is greater than the deposit in Account C."
This implies A>CA > CA>C.
 
 Since two of the deposits are equal, there are two possibilities:
 
 A=BA = BA=B, so B>CB > CB>C. 
 B=CB = CB=C, so BBB is not larger than CCC (they are equal).  
  
We cannot definitively determine whether B>CB > CB>C from this statement.
 Statement (2) alone is insufficient. 
 
 Combining Statements (1) and (2): 
From (1), A>BA > BA>B.
From (2), A>CA > CA>C.
Since two of the deposits are equal, the only consistent scenario is B=CB = CB=C, making B>CB > CB>C  false .
 The combined statements are sufficient. 
 
 Answer: (A) 
 Statement (1) alone is sufficient

hr1212 · Answer

Total 3 cases are feasible,

A 
 B 
 C 
 
  Equal 
 Equal 
 Different 
 
  Equal 
 Different 
 Equal 
 
  Different 
 Equal 
 Equal

Question to be answered - Is B > C ? (have to confidently answer either Yes or No)

Statement 1 : A > B

From the table, only case 2 and case 3 are feasible. Taking random values for A and B, let's say 10 and 5, we get (A, B, C) = (10, 5, 10) or (10, 5, 5). In both these cases, we can confidently say that C >= B, hence answer to our question B > C is No. So this statement is sufficient.

Statement 2 : A > C

In this scenario, only case 1 and case 3 are feasible. Taking random values for A and C, let's say 10 and 5, we get (A, B, C) = (10, 10, 5) or (10, 5, 5). Here, B can or cannot be greater than C, so we cannot confidently say Yes or No, hence this statement is not sufficient.

Answer: A

Gmatfox · Answer

B > C Y/N?
 Given that two of the deposits are equal, while the third deposit is a different amount
 
 (1) A > B
 2 possibilities:
 . A = C --> C > B --> No
 . B = C --> No
 --> Suff.
 (2) A > C
 . A = B --> B > C --> Yes
 . C = B --> No
 --> Insuff.
 Correct answer = A

Arunava7393 · Answer

Let A, B, and C represent the deposits in Account A, Account B, and Account C respectively. We are given that two deposits are equal and one is different. We want to know if B > C.

(1) A > B. This tells us that A cannot be equal to B. Since two deposits must be equal, either B=C, or A=C.

* If B=C, then A > B=C. In this case, B is not greater than C (B=C).
* If A=C, then A=C > B. In this case, B is not greater than C (B<C).

In either scenario, B is not greater than C. So (1) is SUFFICIENT.

(2) A > C. This tells us that A cannot be equal to C. Since two deposits must be equal, either A=B, or B=C.

* If A=B, then A=B > C. In this case, B > C.
* If B=C, then A > B=C. In this case, B is not greater than C (B=C).

Since we have two different outcomes (B>C and B=C), Statement (2) is INSUFFICIENT.

Therefore, the answer is A.

missionmba2025 · Answer

1)

A > B

a) A = C

Hence, C > B

Ques asked: B > C , the answer is No

b) B = C

Ques asked: B > C , the answer is No

Sufficient

2) A > C

a) B = C

Ques asked: B > C , the answer is No

a) A = B

Ques asked: B > C , the answer is Yes

Not Sufficient

Option A

Lizaza · Answer

Just to reiterate, the question is: B > C ? We learn that A>B Then, there are two possible scenarios: A=C, C>B B=C, A>C As we see from above, we get the options of B<=C , which is actually sufficient to answer the original question (and the answer would be 'No'

) We learn that A>C Then, there are two possible scenarios: A=B, B>C B=C, A>B In this case, it's insufficient , because we arrive at either B>C or at B=C. Therefore, the answer is A.

Purnank · Answer

I think Answer is A.

There are 3 deposits made in each acount A, B and C. Two of them are equal and third is different. 
Means A = B not equal C 
or B = C not equal to A 
or A = C not equal to B.

These will be possible scenarios. Now lets check statements.

(1) The deposit in Account A is greater than the deposit in Account B. 
Means A>B but what about C? is C=A or C=B? 
If C=A> B means C is greater than B then answer of "Is the deposit in Account B larger than the deposit in Account C? = No."
if A>B=C means B is equal to C answer of " Is the deposit in Account B larger than the deposit in Account C? = No."
  For both conditions we are getting same answer and that is No. So sufficient.   Now lets check for 2nd.

(2) The deposit in Account A is greater than the deposit in Account C. 
Means A>C and here as well 2 conditions for B either A=B or C=B 
If B=A>C means C is less than B then answer of "Is the deposit in Account B larger than the deposit in Account C? = Yes."
If A>C=B means C is now equal to B then answer of " Is the deposit in Account B larger than the deposit in Account C? = No."
No fix answer so not sufficient.

kingbucky · Answer

Statement 1:  The deposit in Account A is greater than the deposit in Account B.
 Analysis:  From statement 1, we have  a > b . Since two deposits are equal and the third is different, the possibilities are:
-  a > b < a  - Not possible as two are equal and third is different.
-  a > b = c  - Possible, and implies  b = c , so  b  is not larger than  c .
Thus, statement 1  sufficiently  answers the question.

Statement 2:  The deposit in Account A is greater than the deposit in Account C.
 Analysis:  From statement 2, we have  a > c . The possible scenarios include:
-  a = b > c  - In this case,  b  is larger than  c .
-  a > b = c  - In this case,  b  is not larger than  c .
Since the outcomes differ, statement 2 does  not sufficiently  answer the question on its own.

Conclusion:  Statement 1 alone is sufficient to answer the question, while statement 2 alone is not. The correct answer is  (A) , meaning only statement 1 is needed.

lancer4444 · Answer

i got jebaited into C...cool quesiton thank you for posting

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A	B	C
Equal	Equal	Different
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