EXANI-I General Practice Test: Questions with
Answers and Rationales
Section 1: Mathematics (Arithmetic & Algebra)
,1. Question: What is the result of (3/4 + 1/2) * (2/5)?
A) 1/2
B) 2/3
C) 3/5
D) 1
Answer: A) 1/2
Rationale: First, solve the parenthesis: 3/4 + 1/2 = 3/4 + 2/4 = 5/4. Then multiply: (5/4) * (2/5) = 10/20 = 1/2.
2. Question: If a number is increased by 15% and the result is 230, what is the original number?
A) 195.5
B) 200
C) 210
D) 264.5
Answer: B) 200
Rationale: Let the original number be 'x'. The equation is x * 1.15 = 230. Solving for x: x = .15 = 200.
3. Question: Simplify the expression: 3(x + 4) - 2(x - 1)
A) x + 14
B) x + 10
C) 5x + 14
D) x + 12
,Answer: A) x + 14
Rationale: Distribute: 3x + 12 - 2x + 2. Combine like terms: (3x - 2x) + (12 + 2) = x + 14.
4. Question: Solve for x: 2x / 3 = 8
A) 4
B) 8
C) 12
D) 16
Answer: C) 12
Rationale: Multiply both sides by 3: 2x = 24. Divide by 2: x = 12.
5. Question: What is the greatest common divisor (GCD) of 72 and 108?
A) 12
B) 18
C) 24
D) 36
Answer: D) 36
Rationale: Prime factorization of 72 = 2^3 * 3^2. 108 = 2^2 * 3^3. The GCD is the product of the lowest powers: 2^2 * 3^2 = 4 * 9 = 36.
6. Question: The product of two consecutive integers is 420. What is the smaller integer?
A) 18
, B) 19
C) 20
D) 21
Answer: C) 20
Rationale: Let the integers be n and n+1. n(n+1) = 420. The square root of 420 is approximately 20.49, so the integers are 20 and 21 (20 * 21 =
420). The smaller is 20.
7. Question: What is the value of 2^5 + 3^3?
A) 35
B) 41
C) 59
D) 211
Answer: C) 59
Rationale: 2^5 = 32 and 3^3 = 27. 32 + 27 = 59.
8. Question: In a class of 40 students, 60% are girls. How many boys are in the class?
A) 16
B) 20
C) 24
D) 30
Answer: A) 16
Answers and Rationales
Section 1: Mathematics (Arithmetic & Algebra)
,1. Question: What is the result of (3/4 + 1/2) * (2/5)?
A) 1/2
B) 2/3
C) 3/5
D) 1
Answer: A) 1/2
Rationale: First, solve the parenthesis: 3/4 + 1/2 = 3/4 + 2/4 = 5/4. Then multiply: (5/4) * (2/5) = 10/20 = 1/2.
2. Question: If a number is increased by 15% and the result is 230, what is the original number?
A) 195.5
B) 200
C) 210
D) 264.5
Answer: B) 200
Rationale: Let the original number be 'x'. The equation is x * 1.15 = 230. Solving for x: x = .15 = 200.
3. Question: Simplify the expression: 3(x + 4) - 2(x - 1)
A) x + 14
B) x + 10
C) 5x + 14
D) x + 12
,Answer: A) x + 14
Rationale: Distribute: 3x + 12 - 2x + 2. Combine like terms: (3x - 2x) + (12 + 2) = x + 14.
4. Question: Solve for x: 2x / 3 = 8
A) 4
B) 8
C) 12
D) 16
Answer: C) 12
Rationale: Multiply both sides by 3: 2x = 24. Divide by 2: x = 12.
5. Question: What is the greatest common divisor (GCD) of 72 and 108?
A) 12
B) 18
C) 24
D) 36
Answer: D) 36
Rationale: Prime factorization of 72 = 2^3 * 3^2. 108 = 2^2 * 3^3. The GCD is the product of the lowest powers: 2^2 * 3^2 = 4 * 9 = 36.
6. Question: The product of two consecutive integers is 420. What is the smaller integer?
A) 18
, B) 19
C) 20
D) 21
Answer: C) 20
Rationale: Let the integers be n and n+1. n(n+1) = 420. The square root of 420 is approximately 20.49, so the integers are 20 and 21 (20 * 21 =
420). The smaller is 20.
7. Question: What is the value of 2^5 + 3^3?
A) 35
B) 41
C) 59
D) 211
Answer: C) 59
Rationale: 2^5 = 32 and 3^3 = 27. 32 + 27 = 59.
8. Question: In a class of 40 students, 60% are girls. How many boys are in the class?
A) 16
B) 20
C) 24
D) 30
Answer: A) 16
