Top 10 DAT Quantitative Reasoning Practice Questions

B. 145

C. 125

D. 105

E. 95

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Prepare for the DAT Quantitative Reasoning Test in 7 Days A Quick Study Guide with Two Full-Length DAT Quantitative Reasoning Practice Tests

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Answers:

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
\(x=20+125=145\)

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