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UCAT Quantitative Reasoning

1.

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Question 1 of 21

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The values at the bottom end points and at the top end points of each income tax bracket are going to be increased by 10%. What will be the change in income, to the nearest $, after tax has been deducted, of a person with a taxable income of $36,250?

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Question 2 of 21

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Question 3 of 21

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Question 4 of 21

5.

A group of people were asked to taste some paper soaked in a weak solution of the chemical PTC. The table gives some information about the results.

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In a population, 8% can taste neither PTC nor sodium benzoate, 74% can taste PTC and 60% can taste sodium benzoate. What percentage can taste exactly one of these two chemicals?

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Question 5 of 21

6.

A courier company’s tariff, inclusive of VAT and compensation, is shown in the table.

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Jake couriered two pieces of antique items weighing 1.5 kg each, separately.

The compensation limit for each item was $ 1,000 to $2,500. The items were damaged during transit. If the repairing charge for each antique item is $800, how much compensation should the company pay Jake?

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Question 6 of 21

7.

The government of Ruritania holds a prize draw each month for the buyers of Ruritanian Prize Bonds. Each bond costs $1.

The size of the prize Fund is calculated by multiplying the total number of Prize Bonds by the interest rate. Not all the prize fund was used. The interest rate in April 2009 was 0.7%.

The number of prizes is calculated by dividing the total number of Prize Bonds by the odds. The odds in April 2009 were 30,000 (30,000 to 1).UCAT QR QB2-Q7

The Ruritanian government debated to remove the $50 prizes in April 2009. How much money would they have saved if they did?

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Question 7 of 21

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Question 8 of 21

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Question 9 of 21

10.

A city hosts a children’s festival every year. The festival had 5 events in Year 1 and the total number of children who participated in all the events was 344,250. There were 6 events in Year 2 and the average number of children who participated in all the events was 12% greater than the average number in Year 1.

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Question 10 of 21

11.

The bar graph shows the number of members in two different age at two gums at the beginning of a year.

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During the year, the number of members in the age group 25-29 years in both the gyms combined increased by approximately 12%. After the increase, what was the approximate total number of members in both of the gyms for the groups shown?

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Question 11 of 21

12.

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Approximately, by what percentage is the area covered by organic plum trees in the three countries combined greater than the area covered by organic cherry tree countries combined?

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Question 12 of 21

13.

The world is divided into 24 time zones. Time is calculated from a zero line that passes through Greenwich. As you move from one zone to the next, you have to change your watch one hour ahead or back, depending on the direction of your travel.

The table shows the time at different capital cities in the world when it is 12 midnight at Greenwich (Greenwich Mean Time) in the month of November.

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Becker & Associates has two offices, one in London and the other in New Delhi. On a November morning, teams at the two different office locations set up a conference call that the London team can take at 9.00 am. If the call lasts for 0.5 hours, what time is it in New Delhi when the call ends?

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Question 13 of 21

14.

The world is divided into 24 time zones. Time is calculated from a zero line that passes through Greenwich. As you move from one zone to the next, you have to change your watch one hour ahead or back, depending on the direction of your travel.

The table shows the time at different capital cities in the world when it is 12 midnight at Greenwich (Greenwich Mean Time) in the month of November.

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Becker & Associates has two offices, one in London and the other in New Delhi. On a November morning, teams at the two different office locations set up a conference call that the London team can take at 9.00 am. If the call lasts for 0.5 hours, what time is it in New Delhi when the call ends?

On a November morning, Sara sends an e-mail from her office in Vienna at 8.30 am, to her colleague in Chicago. Sara’s colleague replied to the e-mail at 9.15 am the same day, Chicago time. How long did Sara have to wait for the reply?

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Question 14 of 21

15. The table shows the electricity usage of various appliances in an office. In the table the electricity used per hour by any appliance is measured in watt-hours (Wh).

1,000 watt-hours , make 1 kilowatt-hour(KWh)

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Question 15 of 21

16. The table shows the electricity usage of various appliances in an office. In the table the electricity used per hour by any appliance is measured in watt-hours (Wh).

1,000 watt-hours , make 1 kilowatt-hour(KWh)

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Question 16 of 21

17.

A store sells Cylindrical shaped tents with Conical tops. The conical and Cylindrical parts of the tents have the same diameter and both the parts have open bases. The table shows he volume and height of five types of tents sold by the store.

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Question 17 of 21

18.

A store sells Cylindrical shaped tents with Conical tops. The conical and Cylindrical parts of the tents have the same diameter and both the parts have open bases. The table shows he volume and height of five types of tents sold by the store.

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Question 18 of 21

19.

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Question 19 of 21

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Question 20 of 21

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Question 21 of 21