UCAT Quantitative Reasoning Test #5

Question 1

For pre-made protein drinks, a health and wellness store uses the following coding scheme. They are rated according to how many grams of protein are in each smoothie. The quantity of each item they currently have in stock is mentioned.
When they are not on sale, drinks with more protein are typically more expensive. Every third week, the ProtoShake brand offers promotions with up to 75% off the regular price.
What percentage of the drinks on hand include shakes with less than 15 grams of protein?

Accepted Answer

33.75%

Answer

Explanation:
A value's percentage of the whole is taken into account in proportions:
In this case, the quantity supplied that contains less than 15g of protein as a proportion of the overall quantity stocked is relevant:
There are 10 with <10g protein and 17 with 10-14.9g:
10 + 17 = 27
There are 80 in total:
10 + 17 + 12 + 41 = 80
27/80 = 0.3375 = 33.75%

Question 2

A public event was organized by a medical school society to promote medicine. To offset expenditures and collect money for charity, they imposed prices.
Children under 10 are not allowed.
Adults or youngsters may make up groups.
The event is attended by a family consisting of a father (49), and his three kids (10, 12, and 15). All four of them attend the CPR introduction, and as the kids played with the surgical robot model, the father learnt how to stitch. They spent how much money at the conference?

Accepted Answer

£58.25

Answer

Explanation:
Calculate the cost of the family's ticket purchases:
For the CPR intro: 1 x Adult and 3 x Child
1 x £7 + 3 x £5.50 = £23.50
For the Learn to Suture: 1 x Adult
1 x £10 – £10
For playing with a robot: 3 x Child
£8.25 x 3 = £24.75
The total is: £23.50 + £10 + £24.75 = £58.25
Common blunder: Note that only the father attended the suturing session and that only the kids attended the robotics session. If the price of these were flipped, the answer would be £57.00, and if you assumed that everyone in the group attended every session, the answer would be £91.75.

Question 3

For pre-made protein drinks, a health and wellness store uses the following coding scheme. They are rated according to how many grams of protein are in each smoothie. The quantity of each item they currently have in stock is mentioned.
When they are not on sale, drinks with more protein are typically more expensive. Every third week, the ProtoShake brand offers promotions with up to 75% off the regular price.
After a workout, a weightlifter wants a beverage with precisely 25g of protein. How many drinks is he allowed to have?

Accepted Answer

Cannot tell

Answer

Explanation:
The table lists the number of drinks that contain 25g or more of protein, but it doesn't say how many of them contain 25g.
As a result, the information provided in the data does not adequately address this topic.
Review the lesson material on Cannot Tell in QR as a top tip because this is a question that cannot be answered and cannot tell is the proper response.

Question 4

A public event was organized by a medical school society to promote medicine. To offset expenditures and collect money for charity, they imposed prices.
Children under 10 are not allowed.
Adults or youngsters may make up groups.
The following year, prices are raised by 15% for individuals, groups, and children, respectively. What is the cost difference for a family of four to attend a simulated surgery with just two adults and two kids?

Accepted Answer

£3.16

Answer

Explanation: Calculate the new price and the resulting increase:
New price = Old price x Multiplier
Adults: 1.15 x 6.50 = £7.48
Children 1.12 x 5 = £5.60
The difference is:
7.48 – 6.50 = £0.98
5.60 – 5 = £0.60
(0.98 + 0.6) x 2 = 1.58 x 2 = £3.16
The family consists of two parents and two children, thus the disparity will be twice.
Common error: Always match the proper change to the correct value when two percentage differences are provided. The answer would be £3.16 if the adult price increased by 12 percent and the child price increased by 15 percent.

Question 5

A public event was organized by a medical school society to promote medicine. To offset expenditures and collect money for charity, they imposed prices.
Children under 10 are not allowed.
Adults or youngsters may make up groups.
Two parents (a mother, 45, and her partner, 34), the mother's 16-year-old child, and the couple's twins, 10, make form a separate family. How much would it cost each of them to take the suturing course alone?

Accepted Answer

£45.50

Answer

Explanation:
Determine the family's composition:
There are two kids and three grownups. They form a group of five, and as a result, five of them are eligible for the group discount.
Calculate how much each individual payment would be:
£10 x 3 + 8 x 2 = £46.00
3. Work out how much it would be to pay as a group:
5 x 9.1 = £45.50 – a lower price.
Common trap: Notice that the price is lower when purchased as a group; the bullet points show that both adults and children can create groups.

UCAT Practice Test

UCAT Practice Test

UCAT Quantitative Reasoning Test #5