Top 10 DAT Quantitative Reasoning Practice Questions

Top 10 DAT Quantitative Reasoning Practice Questions is a multiple-choice math challenge from Effortless Math. Read the problem, choose from the answer options below, then open the solution to see the full step-by-step working and check your reasoning against it.

B. 145

C. 125

D. 105

E. 95

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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 to 1, 2x), (5 + x), x^2 to 1, 2x, 5, x =, x^2 to 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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