The National Graduate Admission Test (NGAT) Ethiopia GAD Quantitative Reasoning Sample Questions Answers. This test consist of The Quantitative Reasoning section of the GAT includes questions that test your understanding of basic mathematical facts and concepts, and your ability to apply them to real-world scenarios.
This section covers a variety of topics, including percentages, ratios, age problems, squares, square roots, exponent laws, simple word problems involving equations, linear equations, inequalities, comparison questions, perimeter, area, regular polygons, mean, median, mode, quartiles, deciles, and probability.
GAD Quantitative Reasoning Questions Answers
Percentages
Question 1: If a shirt originally costs 250 Birr and is on sale for 20% off, what is the sale price?
A) 200 Birr
B) 210 Birr
C) 220 Birr
D) 230 Birr
Answer: A) 200 Birr
Question 2: If the population of a town increases by 10% annually, and the current population is 50,000, what will the population be next year?
A) 55,000
B) 52,500
C) 60,000
D) 65,000
Answer: A) 55,000
Ratios
Question 3: The ratio of the ages of two brothers is 4:5. If the older brother is 20 years old, how old is the younger brother?
A) 16 years
B) 18 years
C) 15 years
D) 17 years
Answer: A) 16 years
Question 4: The ratio of boys to girls in a class is 3:4. If there are 12 boys, how many girls are there?
A) 16
B) 18
C) 14
D) 20
Answer: A) 16
Age Problems
Question 5: John is twice as old as Mary. If Mary is 15 years old, how old is John?
A) 30 years
B) 25 years
C) 20 years
D) 35 years
Answer: A) 30 years
Question 6:
In 10 years, Alice will be three times as old as she is now. How old is Alice now?
A) 5 years
B) 7 years
C) 10 years
D) 12 years
Answer: A) 5 years
Squares, Square Roots, Exponent Laws
Question 7:
What is the square of 12?
- A) [latex] 144 [/latex]
- B) [latex] 121 [/latex]
- C) [latex] 100 [/latex]
- D) [latex] 1440 [/latex]
Answer: A) [latex] 144 [/latex]
Question 8: What is the square root of 256?
- A) [latex] 14 [/latex]
- B) [latex] 16 [/latex]
- C) [latex] 18 [/latex]
- D) [latex] 20 [/latex]
Answer: B) [latex] 16 [/latex]
Question 9: Simplify the expression: [latex]3^2 \times 3^3[/latex].
- A) [latex]3^5[/latex]
- B) [latex]3^6[/latex]
- C) [latex]3^8[/latex]
- D) [latex]3^9[/latex]
Answer: A) [latex]3^5[/latex]
Question 10: Simplify the expression: [latex]\frac{4^3}{4^2}[/latex].
- A) [latex]4^1[/latex]
- B) [latex]4^5[/latex]
- C) [latex]4^6[/latex]
- D) [latex]4^2[/latex]
Answer: A) [latex]4^1[/latex]
Simple Word Problems Involving Equations
Question 11: John has 3 times as many apples as Sarah. If Sarah has 4 apples, how many apples does John have?
- A) 10
- B) 12
- C) 15
- D) 18
Answer: B) 12
Question 12: If 5 times a number is 45, what is the number?
- A) 7
- B) 8
- C) 9
- D) 10
Answer: C) 9
Linear Equations
Question 13: Solve for [latex]x[/latex]: [latex]2x + 5 = 15[/latex].
- A) 4
- B) 5
- C) 6
- D) 7
Answer: B) 5
Question 14: Solve for [latex]y[/latex]: [latex]3y – 4 = 11[/latex].
- A) 5
- B) 4
- C) 6
- D) 7
Answer: A) 5
Inequalities
Question 15: Solve the inequality: [latex]3x + 2 > 11[/latex].
- A) [latex]x > 3[/latex]
- B) [latex]x < 3[/latex]
- C) [latex]x > 2[/latex]
- D) [latex]x < 2[/latex]
Answer: A) [latex]x > 3[/latex]
Question 16: Solve the inequality: [latex]2y – 5 < 9[/latex].
- A) [latex]y < 7[/latex]
- B) [latex]y > 7[/latex]
- C) [latex]y < 5[/latex]
- D) [latex]y > 5[/latex]
Answer: A) [latex]y < 7[/latex]
Question 17: Compare the quantities: [latex]5^2[/latex] and [latex]3^3[/latex].
- A) [latex]5^2[/latex] is greater
- B) [latex]3^3[/latex] is greater
- C) Both are equal
- D) Cannot be determined
Answer: B) [latex]3^3[/latex] is greater
Question 18:
Question 19: What is the perimeter of a rectangle with a length of 10 cm and a width of 5 cm?
- A) [latex]30 \text{ cm}[/latex]
- B) [latex]40 \text{ cm}[/latex]
- C) [latex]25 \text{ cm}[/latex]
- D) [latex]35 \text{ cm}[/latex]
Answer: A) [latex]30 \text{ cm}[/latex]
Question 20: What is the area of a triangle with a base of 8 cm and a height of 5 cm?
- A) [latex]20 \text{ cm}^2[/latex]
- B) [latex]25 \text{ cm}^2[/latex]
- C) [latex]30 \text{ cm}^2[/latex]
- D) [latex]40 \text{ cm}^2[/latex]
Answer: A) [latex]20 \text{ cm}^2[/latex]
Question 21: Find the mean of the following numbers: 3, 6, 9, 12, 15.
- A) 8
- B) 9
- C) 10
- D) 11
Answer: B) 9
Question 22: Find the median of the following numbers: 2, 4, 6, 8, 10.
- A) 4
- B) 6
- C) 8
- D) 10
Answer: B) 6
Question 23: Find the mode of the following numbers: 1, 2, 2, 3, 4, 4, 4, 5.
- A) 2
- B) 3
- C) 4
- D) 5
Answer: C) 4
Question 24: Find the first quartile (Q1) of the following numbers: 2, 4, 6, 8, 10.
- A) 2
- B) 4
- C) 6
- D) 8
Answer: B) 4
Question 25: What is the probability of rolling a 3 on a fair six-sided die?
- A) [latex]\frac{1}{2}[/latex]
- B) [latex]\frac{1}{3}[/latex]
- C) [latex]\frac{1}{6}[/latex]
- D) [latex]\frac{1}{12}[/latex]
Answer: C) [latex]\frac{1}{6}[/latex]
Question 26: What is the probability of drawing a red card from a standard deck of 52 cards?
- A) [latex]\frac{1}{2}[/latex]
- B) [latex]\frac{1}{4}[/latex]
- C) [latex]\frac{1}{3}[/latex]
- D) [latex]\frac{1}{6}[/latex]
Answer: A) [latex]\frac{1}{2}[/latex]
Question 27: If a product costs 120 Birr after a 20% discount, what was the original price?
- A) 140 Birr
- B) 150 Birr
- C) 160 Birr
- D) 180 Birr
Answer: B) 150 Birr
Question 28: If an employee’s salary increases by 15% and the new salary is 23,000 Birr, what was the original salary?
- A) 20,000 Birr
- B) 21,000 Birr
- C) 19,500 Birr
- D) 22,000 Birr
Answer: A) 20,000 Birr
Question 29: If the ratio of the length to the width of a rectangle is 3:2 and the width is 8 cm, what is the length?
- A) 10 cm
- B) 12 cm
- C) 14 cm
- D) 16 cm
Answer: B) 12 cm
Question 30: If the ratio of men to women in a company is 5:4 and there are 200 women, how many men are there?
- A) 180
- B) 200
- C) 220
- D) 250
Answer: D) 250
Question 31: Tom is three times as old as his son. If Tom is 36 years old, how old is his son?
- A) 10 years
- B) 11 years
- C) 12 years
- D) 13 years
Answer: C) 12 years
Question 32: In 5 years, Sam will be twice as old as he is now. How old is Sam now?
- A) 5 years
- B) 7 years
- C) 10 years
- D) 12 years
Answer: A) 5 years
Question 33: What is the square of 15?
- A) [latex]200[/latex]
- B) [latex]215[/latex]
- C) [latex]225[/latex]
- D) [latex]240[/latex]
Answer: C) [latex]225[/latex]
Question 34: What is the square root of 121?
- A) [latex]10[/latex]
- B) [latex]11[/latex]
- C) [latex]12[/latex]
- D) [latex]13[/latex]
Answer: B) [latex]11[/latex]
Question 35: Simplify the expression: [latex]5^2 \times 5^3[/latex].
- A) [latex]5^5[/latex]
- B) [latex]5^6[/latex]
- C) [latex]5^8[/latex]
- D) [latex]5^9[/latex]
Answer: A) [latex]5^5[/latex]
Question 36: Simplify the expression: [latex]7^4 / 7^2[/latex].
- A) [latex]7^1[/latex]
- B) [latex]7^2[/latex]
- C) [latex]7^3[/latex]
- D) [latex]7^6[/latex]
Answer: A) [latex]7^2[/latex]
Question 37: Mary has twice as many books as Tom. If Tom has 8 books, how many books does Mary have?
- A) 14
- B) 16
- C) 18
- D) 20
Answer: B) 16
Question 38: If 3 times a number is 27, what is the number?
- A) 7
- B) 8
- C) 9
- D) 10
Answer: C) 9
Question 39: Solve for [latex]x[/latex]: [latex]4x – 7 = 9[/latex].
- A) 4
- B) 5
- C) 6
- D) 7
Answer: A) 4
Question 40: Solve for [latex]y[/latex]: [latex]2y + 3 = 11[/latex].
- A) 3
- B) 4
- C) 5
- D) 6
Answer: B) 4
See also:
- National Graduate Admission Test (NGAT) Ethiopia 2016/2024
- Graduate Admission Test Sample Questions Answers
- GAT Exam Verbal Reasoning Sample Questions Answers
- GAD Quantitative Reasoning Sample Questions Answers
- GAD Analytical Reasoning Sample Questions Answers