UCAT Quantitative Reasoning Test #2

Question 1

What is the series' next number?
13, 9, 14, 8, 15,

Accepted Answer

7

Answer

This series alternates between two patterns. The odd-positioned numbers (13, 14, 15) increase by 1 each time. The even-positioned numbers (9, 8) decrease by 1 each time. Following the pattern for the even-positioned numbers, the next number after 8 should be 8 - 1, which is 7.

Question 2

What is the series' next number?
45, 15, 30, 30,10, 20,

Accepted Answer

20

Answer

The series follows a repeating pattern of four operations: divide by 3, multiply by 2, then repeat the previous number. Starting with 45: 45 / 3 = 15; 15 * 2 = 30; then 30 is repeated. The next sequence starts with 30: 30 / 3 = 10; 10 * 2 = 20. Following the pattern, the next number should be a repeat of the previous number, which is 20.

Question 3

Clark is 15 years old, and his younger sister is the same age as him. When Clark turns 19, how old will his sister be?

Accepted Answer

34

Answer

Correct answer: 34

Clark's sister is twice his age, thus she is now 15*2=30 years old. In four years, Clark will be 19, which means his sister will be (30+4)=34.

Question 4

There are 6,000 toilet sinks in a plumber's home. Over the next four days, he plans to install 20% of all sinks. How many toilet sinks will he install on each of the four days if he divides his work evenly?

Accepted Answer

300

Answer

Correct answer: 300

To begin, we must determine how many toilet sinks will be built over the next four days.

We can use the 10% shortcut to figure out what 20% of 6,000 is:
10% of 6,000 equals 600 (omit one 0), hence 20% equals 600*2=1,200.

Now, assuming the plumber intends to split his work evenly over four days, we simply divide 1,200 by 4.
1,200/4=300

Question 5

A Bluetooth speaker will cost you at least $120. Its price increased by 20%, then by another $24. What is the overall price increase for this speaker in percentages?

Accepted Answer

40%

Answer

Correct answer: 40%

The 10 percent -blocks trick can be used to find 20% of 120. 10%=12. As a result, (12×2)=24.
We get 120+24+24=$168 by adding $24.

We must subtract 120 from 168 to arrive at 48. This is the entire amount of money that has increased in value as a result of the price increase. We need to calculate how much 48 out of 120 is. We may gradually add units of 12 until we reach 48 because we already know what 10% of 120 is (12). Fortunately, we need 4 units of 12, which is 4 units of 10% = 40%.

Another option is to write a fraction (48/120) and then reduce or divide it by common divisors.

UCAT Practice Test

UCAT Practice Test

UCAT Quantitative Reasoning Test #2