[GMAT2013g2] GMAT2013 g12cat2 Kaplan CAT
Certification Exam Preparation
**Question 1.** A positive integer is divisible by 3 and 4. Which of the following must also be
true?
A) It is divisible by 6
B) It is divisible by 8
C) It is divisible by 12
D) It is divisible by 24
Answer: C
Explanation: Any number divisible by both 3 and 4 is divisible by their least common multiple,
12.
**Question 2.** If \(0.75 = \frac{x}{20}\), what is the value of \(x\)?
A) 10
B) 12.5
C) 15
D) 18
Answer: C
Explanation: Multiply both sides by 20: \(x = 0.75 \times 20 = 15\).
**Question 3.** The ratio of cats to dogs in a shelter is 5:3. If there are 40 cats, how many dogs
are there?
A) 12
B) 18
C) 24
D) 30
,[GMAT2013g2] GMAT2013 g12cat2 Kaplan CAT
Certification Exam Preparation
Answer: B
Explanation: 5 parts correspond to 40 cats → 1 part = 8; 3 parts = 24 dogs. (Correct answer B).
**Question 4.** Simplify \((2^4)(2^{-2})\).
A) \(2^2\)
B) \(2^6\)
C) \(2^8\)
D) \(2^{-6}\)
Answer: A
Explanation: Add exponents: \(4 + (-2) = 2\).
**Question 5.** What is the absolute value of \(-\sqrt{49}\)?
A) \(-7\)
B) 0
C) 7
D) 49
Answer: C
Explanation: \(\sqrt{49}=7\); absolute value of \(-7\) is 7.
**Question 6.** Solve for \(x\): \(3x - 7 = 2x + 5\).
A) 2
B) 12
,[GMAT2013g2] GMAT2013 g12cat2 Kaplan CAT
Certification Exam Preparation
C) -2
D) -12
Answer: A
Explanation: Subtract \(2x\) and add 7: \(x = 12\). Wait correct: \(3x-7=2x+5\) → \(x=12\). So
answer B.
**Question 7.** Which of the following is a solution to the quadratic equation \(x^2 - 5x + 6 =
0\)?
A) 1
B) 2
C) 3
D) 4
Answer: C
Explanation: Factoring gives \((x-2)(x-3)=0\); solutions are 2 and 3.
**Question 8.** If \(2y + 3 = 11\), what is the value of \(y\)?
A) 2
B) 3
C) 4
D) 5
Answer: C
Explanation: Subtract 3 → \(2y=8\); \(y=4\).
, [GMAT2013g2] GMAT2013 g12cat2 Kaplan CAT
Certification Exam Preparation
**Question 9.** Which inequality correctly represents “the sum of a positive number and 7 is
less than 15”?
A) \(x + 7 < 15\)
B) \(x + 7 > 15\)
C) \(x - 7 < 15\)
D) \(7 - x < 15\)
Answer: A
Explanation: Direct translation of the phrase.
**Question 10.** For the function \(f(t)=4t-9\), what is \(f(5)\)?
A) 11
B) 13
C) 15
D) 19
Answer: B
Explanation: \(4(5)-9 = 20-9 = 11\). Wait 20-9=11, so answer A.
**Question 11.** A car travels at a constant speed of 60 miles per hour. How far does it travel in
45 minutes?
A) 30 miles
B) 40 miles
C) 45 miles
D) 50 miles
Certification Exam Preparation
**Question 1.** A positive integer is divisible by 3 and 4. Which of the following must also be
true?
A) It is divisible by 6
B) It is divisible by 8
C) It is divisible by 12
D) It is divisible by 24
Answer: C
Explanation: Any number divisible by both 3 and 4 is divisible by their least common multiple,
12.
**Question 2.** If \(0.75 = \frac{x}{20}\), what is the value of \(x\)?
A) 10
B) 12.5
C) 15
D) 18
Answer: C
Explanation: Multiply both sides by 20: \(x = 0.75 \times 20 = 15\).
**Question 3.** The ratio of cats to dogs in a shelter is 5:3. If there are 40 cats, how many dogs
are there?
A) 12
B) 18
C) 24
D) 30
,[GMAT2013g2] GMAT2013 g12cat2 Kaplan CAT
Certification Exam Preparation
Answer: B
Explanation: 5 parts correspond to 40 cats → 1 part = 8; 3 parts = 24 dogs. (Correct answer B).
**Question 4.** Simplify \((2^4)(2^{-2})\).
A) \(2^2\)
B) \(2^6\)
C) \(2^8\)
D) \(2^{-6}\)
Answer: A
Explanation: Add exponents: \(4 + (-2) = 2\).
**Question 5.** What is the absolute value of \(-\sqrt{49}\)?
A) \(-7\)
B) 0
C) 7
D) 49
Answer: C
Explanation: \(\sqrt{49}=7\); absolute value of \(-7\) is 7.
**Question 6.** Solve for \(x\): \(3x - 7 = 2x + 5\).
A) 2
B) 12
,[GMAT2013g2] GMAT2013 g12cat2 Kaplan CAT
Certification Exam Preparation
C) -2
D) -12
Answer: A
Explanation: Subtract \(2x\) and add 7: \(x = 12\). Wait correct: \(3x-7=2x+5\) → \(x=12\). So
answer B.
**Question 7.** Which of the following is a solution to the quadratic equation \(x^2 - 5x + 6 =
0\)?
A) 1
B) 2
C) 3
D) 4
Answer: C
Explanation: Factoring gives \((x-2)(x-3)=0\); solutions are 2 and 3.
**Question 8.** If \(2y + 3 = 11\), what is the value of \(y\)?
A) 2
B) 3
C) 4
D) 5
Answer: C
Explanation: Subtract 3 → \(2y=8\); \(y=4\).
, [GMAT2013g2] GMAT2013 g12cat2 Kaplan CAT
Certification Exam Preparation
**Question 9.** Which inequality correctly represents “the sum of a positive number and 7 is
less than 15”?
A) \(x + 7 < 15\)
B) \(x + 7 > 15\)
C) \(x - 7 < 15\)
D) \(7 - x < 15\)
Answer: A
Explanation: Direct translation of the phrase.
**Question 10.** For the function \(f(t)=4t-9\), what is \(f(5)\)?
A) 11
B) 13
C) 15
D) 19
Answer: B
Explanation: \(4(5)-9 = 20-9 = 11\). Wait 20-9=11, so answer A.
**Question 11.** A car travels at a constant speed of 60 miles per hour. How far does it travel in
45 minutes?
A) 30 miles
B) 40 miles
C) 45 miles
D) 50 miles
