A math teacher has 30 cards, each of which is in the shape

can anyone actually get me 13 non-rectangular AND non-rhombus shape cards out of 30 cards with the specifications clearly stated half of the 30 cards (15 cards) are rectangular (including some square cards) and one third of the 30 cards (10 cards) are rhombus (including some square cards)??????

clearly the question stem stated there are 25 cards that is the combination of rectangular shape and rhombus shape.. there are 8 cards within the 25 cards so 25-8=13 cards are non square but still either rectangular or rhombus.. so the non-rectangular AND non-rhombus shape only has 5 spots left in a hand of 30 cards..

i know van-diagram or matrix is what the test or the study of the test want people to go with.. but that is not reasoning and in fact in real life that can never happen.. if anyone disagrees and can make me a hand of 30 cards with exactly what the question stem asked and have 13 circle (non-rectangular AND non-rhombus) cards in real life, let me know!

Ellexuxin GMAT does not tests real world practicality; rather it tests practicality within the constraints given in the problem.

Key to remember here is that square is also a rhombus. After that its plug-n-play, 15 rectangles , all squares are also rhombus ==> only 2 rhombuses are not square.

Total 17 items so far, thus, max 13 circles are possible.

Ans. E

Can anyone clarify, what is the meaning of " re circles ",as given in the question or is this a typo?

it's a typo. It should be "are circles"

We see that we have ½ x 30 = 15 rectangles and ⅓ x 30 = 10 rhombuses. Since there are 8 squares (recall that squares are both rectangles and rhombuses), we have 15 + 10 - 8 = 17 rectangles or rhombuses. If the remaining cards are all circles, we have a maximum number of 30 - 17 = 13 circles.

Answer: E

i think there is

A 10
B 20
C 30

Bunuel possible to share official Manhattan social for this?

RastogiSarthak99
I have no affiliation with Manhattan GMAT, but I can't imagine their solution is all that different from this.

See attached.

Answer choice E.

What if the question asked the "Minimum number of circles?" Then what would we do?

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