DM1 Mock

Explanation

The correct answer is A.  Jot the information that you know into a table using the ‘same, simple, positive’ rule.  Keep the information in the same and most simple format, looking at the information the question is asking about.  The question asks us to consider only availability of equipment and presence of personal trainers.  Note that for Gym B, we are told the probability of personal trainers not being there, so to find the probability of personal trainers being there, subtract this from 1. 

Both gyms have the same presence of personal trainers, but Gym A has more free equipment than Gym B, so A is the correct answer.  B, and D are incorrect because there is equal personal trainer time at both gyms; C is incorrect because the answer choice says that Emmaline should not get a gym membership at Gym A, though she should, based on the equipment availability.

Explanation

The correct answer is C.  The key bit of information in this question is ‘learn more content faster and be better prepared for exams.’  We want to know if having a 6-day week will contribute to this, and the arguments represented in an answer choice should relate directly to this in order to be strong.   A and B do not discuss exam preparation or learning content, so are not relevant enough to the question, and are therefore incorrect.  D might seem like a promising argument but does not have any research basis and is a bit speculative, so C is a stronger answer.  This answer choice both addresses exam preparation and learning content and mentions that there is research to back up this claim.

Explanation

The answer is C. To work out the probability of at least one of them wearing a floral top, calculate the probability of neither wearing a floral top and subtract this from 1.  The probability of Kendrick not wearing a floral top is 0.80 and the probability of Kiara not wearing a floral top is 0.75.  The probability of neither of them wearing a floral top is 0.80 x 0.75; 1 – (0.80 x 0.75) = 0.40 (because P(not A) and P(not B) = P(not A) x P(not B)). This is not greater than 50% (0.50), so the answer is No, C.

Explanation

The correct answer is C. In order to make 2 batches of cookies, multiply the recipe values by 2.  Albie would therefore need 400 g of peanut butter, 350 g golden caster sugar, ½ tsp fine salt, and 2 large eggs.  Albie currently has ½ kg (500 g) of peanut butter, 355 g golden caster sugar, 80 tsp fine salt, and 4 large eggs, so this is just sufficient to make 2 batches of cookies.  He could not make an additional batch because he does not have sufficient golden caster sugar or peanut butter to do so.  Be mindful of units (for peanut butter).

Explanation

The correct answer is A. There are three fruits, each represented by a circle. Because we are told that some children have all three fruits, the answer cannot be C or D, as there is no region which accounts for the three circles overlapping.  We are also told that all children that have blueberries have strawberries, which means we need to find a circle that sits completely inside of another circle, which is the case for answer choice A, and not answer choice B.

Explanation

 The correct answer is B.  Begin slotting information into a table based on the points provided. 

The only one of the answer choices that can be concluded with certainty from the given information is B.  The others are all possible, but not certain.

Explanation

The correct answer is C.  This is a tough question to do given the time-pressure. A good strategy is to reorganise the given information into a diagram to help simply the problem. We can draw a Venn diagram as shown below as we know that no student studies both Spanish and German. 

Explanation

 B is the correct answer. From the first point, we know that Abi must sit at the end, because he sits next to only one other person.  We also know that Abi sits beside Esteban from this point.  This eliminates answer choice D.  Because we know where Abi and Esteban sit, choose the next statement that talks about the relation between others and either Abi or Esteban.  Point three tells us that Esteban and Chloe sit equidistant from Deirdre, which means that Deirdre sits in between Esteban and Chloe, which eliminates answer choice D.  If Deirdre were directly next to Esteban, Chloe would have to be directly next to Deirdre (they sit equidistant from Deirdre), Flora would have to sit directly next to Chloe (Flora sits adjacent to Chloe), and Benji would be at the end.  This correlates to answer choice A, but does not account for two people sitting in between Benji and Chloe (there is only one, Flora).  This eliminates answer choice A.  B is correct because it is the only seating combination that satisfies all of the given information.