Top 10 DAT Quantitative Reasoning Practice Questions

Top 10 DAT Quantitative Reasoning Practice Questions

Preparing for the DAT quantitative reasoning test? The best way to prepare for your DAT Quantitative Reasoning test is to work through as many DAT Quantitative Reasoning practice questions as possible. Here are the top 10 DAT Quantitative Reasoning practice questions to help you review the most important DAT Math concepts. These DAT Quantitative Reasoning practice questions are designed to cover mathematics concepts and topics that are found on the actual test. The questions have been fully updated to reflect the latest 2020 DAT guidelines. Answers and full explanations are provided at the end of the post.

Start your DAT Quantitative Reasoning test prep journey right now with these sample DAT Quantitative Reasoning questions.

The Absolute Best Book to Ace the DAT Quantitative Reasoning Math Test

DAT Quantitative Reasoning Math Practice Questions

1- A number is chosen at random from 1 to 25. Find the probability of not selecting a composite number.

☐A. \(\frac{1}{25}\)

☐B. 25

☐C. \(\frac{9}{25}\)

☐D. 1

☐E. 0

2- Removing which of the following numbers will change the average of the numbers to 6?
\(1, 4, 5, 8, 11, 12\)

☐A. 1

☐B. 4

☐C. 5

☐D. 11

☐E. 12

3- A rope weighs 600 grams per meter of length. What is the weight in kilograms of 12.2 meters of this rope? (1 kilograms = 1000 grams)

☐A. 0.0732

☐B. 0.732

☐C. 7.32

☐D. 7,320

☐E. 73,200

4- If \(y = 4ab + 3b^3\), what is y when \(a = 2\) and \(b = 3\)?

☐A. 24

☐B. 31

☐C. 36

☐D. 51

☐E. 105

5- If \(f(x) = 5 + x\) and \(g(x) = – x^2 – 1 – 2x\), then find \((g – f)(x)\)?

☐A. \(x^2 – 3x – 6\)

☐B. \(x^2 – 3x + 6\)

☐C. \(–x^2 – 3x + 6\)

☐D. \(–x^2 – 3x – 6\)

☐E. \(–x^2 + 3x – 6\)

6- The marked price of a computer is D dollar. Its price decreased by \(20\%\) in January and later increased by \(10\%\) in February. What is the final price of the computer in D dollar?

☐A. 0.80 D

☐B. 0.88 D

☐C. 0.90 D

☐D. 1.20 D

☐E. 1.40 D

7- The number 40.5 is 1,000 times greater than which of the following numbers?

☐A. 0.405

☐B. 0.0405

☐C. 0.0450

☐D. 0.00405

☐E. 0.000405

8- How many tiles of 8 cm\(^2\) is needed to cover a floor of dimension 6 cm by 24 cm?

☐A. 6

☐B. 12

☐C. 18

☐D. 24

☐E. 36

9- What is the area of a square whose diagonal is 8 cm?

☐A. 16 cm\(^2\)

☐B. 32 cm\(^2\)

☐C. 36 cm\(^2\)

☐D. 64 cm\(^2\)

☐E. 128 cm\(^2\)

10- What is the value of \(x\) in the following figure?

☐A. 150

☐B. 145

☐C. 125

☐D. 105

☐E. 95

Best DAT Quantitative Reasoning Math Prep Resource for 2020

Answers:

1- C
Set of number that are not composite between 1 and 25: A\(= \{2, 3, 5, 7, 11, 13, 17, 19, 23\}\)
Probability \(=\frac{number \ of \ desired \ outcomes}{number \ of \space total \ outcomes}=\frac{9}{25}\)

2- D
Check each option provided:
A. \(\frac{4+5+8+11+12}{5}=\frac{40}{5}=8\)
B. \(\frac{1+5+8+11+12}{5}=\frac{37}{5}=7.4\)
C. \(\frac{1+4+8+11+12}{5}=\frac{36}{5}=7.2\)
D. \(\frac{1+4+5+8+12}{5}=\frac{30}{5}=6\)
E. \(\frac{1+4+5+8+11}{5}=\frac{29}{5}=5.8\)

3- C
The weight of 12.2 meters of this rope is: \(12.2 × 600\) g \(= 7320\) g
1 kg = 1000 g, therefore, 7320 g \(÷ 1000 = 7.32\) kg

4- E
\(y = 4ab + 3b^3\)
Plug in the values of a and b in the equation: \(a = 2\) and \(b = 3\)
\(y = 4 (2) (3) + 3 (3)3 = 24 + 3(27) = 24 + 81 = 105\)

5- D
\( (g – f)(x) = g(x) – f(x) = (– x^2 – 1 – 2x) – (5 + x) – x^2 – 1 – 2x – 5 – x = – x^2 – 3x – 6\)

6- B
To find the discount, multiply the number by (\(100\% –\) rate of discount).
Therefore, for the first discount we get: (D) (\(100\% – 20\%\)) = (D) (0.80) = 0.80 D
For increase of \(10\ %\): (0.85 D) (\(100\% + 10\%\)) = (0.85 D) (1.10) = 0.88 D = \(88\%\) of D

7- B
1000 times the number is 40.5. Let \(x\) be the number, then:
\(1000x=40.5\)
\(x= \frac{40.5}{1000}=0.0405\)

8- C
The area of the floor is: 6 cm \(× 24\) cm = 144 cm
The number is tiles needed \(= 144 ÷ 8 = 18\)

9- B
The diagonal of the square is 8. Let \(x\) be the side.
Use Pythagorean Theorem: \(a^2 + b^2 = c^2\)
\(x^2 + x^2 = 82 ⇒ 2x^2 = 82 ⇒ 2x^2 = 64 ⇒x^2 = 32 ⇒x= \sqrt{32}\)
The area of the square is:
\(\sqrt{32} × \sqrt{32} = 32\)

10- B
\(x=20+125=145\)

Looking for the best resource to help you succeed on the DAT Quantitative Reasoning Math test?

The Best Books to Ace the DAT Quantitative Reasoning Math Test

Related to "Top 10 DAT Quantitative Reasoning Practice Questions"

FREE DAT Quantitative Reasoning Math Practice Test
FREE DAT Quantitative Reasoning Math Practice Test
DAT Quantitative Reasoning Math FREE Sample Practice Questions
DAT Quantitative Reasoning Math FREE Sample Practice Questions
DAT Quantitative Reasoning Math Practice Test Questions
DAT Quantitative Reasoning Math Practice Test Questions
DAT Math Formulas
DAT Math Formulas
The Ultimate DAT Quantitative Reasoning Course
The Ultimate DAT Quantitative Reasoning Course
How to prepare for DAT Quantitative Reasoning Test
How to prepare for DAT Quantitative Reasoning Test
DAT Quantitative Reasoning Worksheets
DAT Quantitative Reasoning Worksheets

Leave a Reply

Your email address will not be published. Required fields are marked *

How Does It Work?

Find Books

1. Find eBooks

Locate the eBook you wish to purchase by searching for the test or title.

add to cart

2. Add to Cart

Add the eBook to your cart.

checkout

3. Checkout

Complete the quick and easy checkout process.

download

4. Download

Immediately receive the download link and get the eBook in PDF format.

Why Buy eBook From Effortlessmath?

Save money

Save up to 70% compared to print

Instantly download

Instantly download and access your eBook

help environment

Help save the environment

Access

Lifetime access to your eBook

Test titles

Over 2,000 Test Prep titles available

Customers

Over 80,000 happy customers

Star

Over 10,000 reviews with an average rating of 4.5 out of 5

Support

24/7 support

Anywhere

Anytime, Anywhere Access

Find Your Test

Schools, tutoring centers, instructors, and parents can purchase Effortless Math eBooks individually or in bulk with a credit card or PayPal. Find out more…