TSIA2 Quantitative Reasoning 3 β Questions and Answers
Question 1: A recipe calls for 2Β½ cups of flour for 24 cookies. How many cups are needed for 60 cookies?
- 5Β½ cups
- 6 cups
- 6ΒΌ cups (Correct answer)
- 6Β½ cups
Correct answer: 6ΒΌ cups
60/24 Γ 2.5 = 2.5 Γ 2.5 = 6.25 = 6ΒΌ cups.
Question 2: Which inequality is represented by: all real numbers less than β3 or greater than or equal to 5?
- x < β3 or x β₯ 5 (Correct answer)
- x β€ β3 or x > 5
- β3 < x β€ 5
- x β₯ β3 and x < 5
Correct answer: x < β3 or x β₯ 5
"Less than β3" means x < β3; "greater than or equal to 5" means x β₯ 5, joined by 'or'.
Question 3: The average of five test scores is 82. Four of the scores are 78, 85, 90, and 76. What is the fifth score?
- 79
- 81 (Correct answer)
- 83
- 85
Correct answer: 81
Total needed = 82 Γ 5 = 410; known sum = 329; fifth score = 410 β 329 = 81.
Question 4: Factor completely: xΒ² β 9x + 20
- (x β 4)(x β 5) (Correct answer)
- (x + 4)(x + 5)
- (x β 2)(x β 10)
- (x β 1)(x β 20)
Correct answer: (x β 4)(x β 5)
Find two numbers that multiply to 20 and add to β9: β4 and β5, giving (xβ4)(xβ5).
Question 5: A bank account earns simple interest. If $1,500 is invested at 4% per year for 3 years, what is the total interest earned?
- $60
- $120
- $180 (Correct answer)
- $240
Correct answer: $180
I = Prt = 1500 Γ 0.04 Γ 3 = $180.
Question 6: What is the solution to the system: 2x + y = 7 and x β y = 2?
- (2, 3)
- (3, 1) (Correct answer)
- (4, β1)
- (1, 5)
Correct answer: (3, 1)
Adding the equations: 3x = 9, so x = 3; substituting back gives y = 1.
Question 7: A circular pizza has a diameter of 14 inches. What is the area of the pizza? (Use Ο β 3.14)
- 43.96 sq in
- 87.92 sq in
- 153.86 sq in (Correct answer)
- 615.44 sq in
Correct answer: 153.86 sq in
Radius = 7; Area = Ο rΒ² = 3.14 Γ 49 = 153.86 sq in.
TSIA2 Quantitative Reasoning 3
A recipe calls for 2Β½ cups of flour for 24 cookies.
How many cups are needed for 60 cookies?