The costs of equities of type A and type B (in dollars) are two differ

Question

The costs of equities of type A and type B (in dollars) are two different positive integers. What is the total cost of 2 equities of type A and 3 equities of type B?

(1) 4 type A equities and 5 type B equities together cost 27 dollars.
(2) Cost of a type A equity plus the Cost of a type B equity is 6 dollars.

2794Aditya · Answer

The answer is E.

The question says, A and B are two different positive integers.

(1) However, on solving A by trial and error, the only answer possible is A=3 and B=3, which cannot be a solution. Hence, option A is insufficient.

(2) A + B = 6, implies A=1,2,3,4,5 and B=5,4,3,2,1. Hence, insufficient.

On combining, the common solution is A=3 and B=3, which cannot be a solution set. Therefore, 2A + 3B cannot be evaluated.

Hence, the answer is E.

rszarate · Answer

In my opinion the problem has a typo, because it says that A and B are  positive  and  different , and from (i)  4A + 5B = 27  has only one integer solution (3,3) -->  so there is no valid solution

Let me know if you have any question.

Cheers,
R.

applicant123456 · Answer

The answer is A.

The costs of equities of type A and type B (in dollars) are two different positive integers. What is the total cost of 2 equities of type A and 3 equities of type B?

I started with (2) -Cost of a type A equity plus the Cost of a type B equity is 6 dollars.

3/3 is out because they have to be different numbers. Even so 1/5 and 2/4 are options. 
2(1) + 3(5) = 17
2(2) + 3(4) = 16

Not sufficient

(1) 4 type A equities and 5 type B equities together cost 27 dollars.

First - checked to see if this can be reduced and answer is no. For example if this had 4 and 6 equities then we know based on ratios what 2A and 3B equals

So At first glance it doesn't appear sufficient but for this to work..BUT
Multiples of 5 end in 0 and 5 (0,5,10,15,20,25) 
Multiples of 4 (4, 8, 12, 16, 20, 24, 28)

The only scenario where you get an answer is 4(3) + 5(3) = 27. Sufficient. The wording of 2 different positive integers seams misleading though

bumpbot · Answer

Automated notice from GMAT Club BumpBot: 

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

 This post was generated automatically.

The costs of equities of type A and type B (in dollars) are two differ

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Data Sufficiency (DS) Questions

The costs of equities of type A and type B (in dollars) are two differ

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards