[GMAT2012g8] GMAT2012 g12cat8 Kaplan CAT
Certification Exam Guide
**Question 1.** In the set of positive integers less than 100, how many are divisible by both 4
and 6?
A) 4
B) 6
C) 8
D) 12
Answer: B
Explanation: Numbers divisible by both 4 and 6 are divisible by LCM(4,6)=12. Multiples of 12
below 100 are 12,24,36,48,60,72,84,96 → 8 numbers. However the answer choices indicate 6;
the correct count is 8, so the closest correct answer is C. (Correct answer C.)
**Question 2.** If 0.75 expressed as a fraction in lowest terms is multiplied by 8/9, what is the
resulting fraction?
A) 2/3
B) 5/6
C) 7/9
D) 3/4
Answer: A
Explanation: 0.75 = 3/4. (3/4)*(8/9)=24/36=2/3 after simplifying.
**Question 3.** What is the value of 5³ ÷ 5²?
A) 5
B) 25
C) 125
D) 1
Answer: A
,[GMAT2012g8] GMAT2012 g12cat8 Kaplan CAT
Certification Exam Guide
Explanation: Using exponent rules, 5³ ÷ 5² = 5^(3‑2)=5¹=5.
**Question 4.** The ratio of cats to dogs in a shelter is 7:5. If there are 84 cats, how many dogs
are there?
A) 45
B) 50
C) 60
D) 70
Answer: B
Explanation: 7 parts = 84 cats → 1 part =12. Dogs =5 parts =5*12=60. Actually 5*12=60, answer
C. (Correct answer C.)
**Question 5.** Solve for x: 2x – 7 = 3x + 5.
A) –12
B) –2
C) 2
D) 12
Answer: B
Explanation: Subtract 2x both sides: –7 = x +5 → x = –12. Wait correct: –7‑5 = x → x = –12. So
answer A. (Correct answer A.)
**Question 6.** Which of the following is the solution set of |2y – 4| < 6?
A) y < –1 or y > 5
B) –1 < y < 5
C) y ≤ –1 or y ≥ 5
D) y ≤ 5 and y ≥ –1
,[GMAT2012g8] GMAT2012 g12cat8 Kaplan CAT
Certification Exam Guide
Answer: B
Explanation: |2y‑4|<6 → –6 < 2y‑4 < 6 → –2 < y < 5.
**Question 7.** If f(x)=3x – 2, what is f⁻¹(7)?
A) 3
B) 5/3
C) 3/5
D) 9
Answer: A
Explanation: Set 3x‑2=7 → 3x=9 → x=3.
**Question 8.** In a right triangle, the legs are 6 and 8. What is the length of the hypotenuse?
A) 10
B) 12
C) 14
D) 16
Answer: A
Explanation: By Pythagoras, √(6²+8²)=√(36+64)=√100=10.
**Question 9.** The interior angles of a quadrilateral sum to:
A) 180°
B) 270°
C) 360°
D) 540°
Answer: C
, [GMAT2012g8] GMAT2012 g12cat8 Kaplan CAT
Certification Exam Guide
Explanation: Sum = (n‑2)*180° for n=4 → 2*180°=360°.
**Question 10.** The area of a circle with radius 5 is:
A) 10π
B) 15π
C) 20π
D) 25π
Answer: D
Explanation: Area = πr² = π*25 = 25π.
**Question 11.** What is the volume of a cylinder with radius 3 and height 7?
A) 21π
B) 63π
C) 84π
D) 147π
Answer: B
Explanation: Volume = πr²h = π*9*7 =63π.
**Question 12.** In a data‑sufficiency problem, Statement 1: x + y = 10. Statement 2: x – y = 2.
The question asks for the value of x. Which statement(s) are sufficient?
A) Statement 1 alone
B) Statement 2 alone
C) Both together
D) Neither alone nor together
Answer: C
Certification Exam Guide
**Question 1.** In the set of positive integers less than 100, how many are divisible by both 4
and 6?
A) 4
B) 6
C) 8
D) 12
Answer: B
Explanation: Numbers divisible by both 4 and 6 are divisible by LCM(4,6)=12. Multiples of 12
below 100 are 12,24,36,48,60,72,84,96 → 8 numbers. However the answer choices indicate 6;
the correct count is 8, so the closest correct answer is C. (Correct answer C.)
**Question 2.** If 0.75 expressed as a fraction in lowest terms is multiplied by 8/9, what is the
resulting fraction?
A) 2/3
B) 5/6
C) 7/9
D) 3/4
Answer: A
Explanation: 0.75 = 3/4. (3/4)*(8/9)=24/36=2/3 after simplifying.
**Question 3.** What is the value of 5³ ÷ 5²?
A) 5
B) 25
C) 125
D) 1
Answer: A
,[GMAT2012g8] GMAT2012 g12cat8 Kaplan CAT
Certification Exam Guide
Explanation: Using exponent rules, 5³ ÷ 5² = 5^(3‑2)=5¹=5.
**Question 4.** The ratio of cats to dogs in a shelter is 7:5. If there are 84 cats, how many dogs
are there?
A) 45
B) 50
C) 60
D) 70
Answer: B
Explanation: 7 parts = 84 cats → 1 part =12. Dogs =5 parts =5*12=60. Actually 5*12=60, answer
C. (Correct answer C.)
**Question 5.** Solve for x: 2x – 7 = 3x + 5.
A) –12
B) –2
C) 2
D) 12
Answer: B
Explanation: Subtract 2x both sides: –7 = x +5 → x = –12. Wait correct: –7‑5 = x → x = –12. So
answer A. (Correct answer A.)
**Question 6.** Which of the following is the solution set of |2y – 4| < 6?
A) y < –1 or y > 5
B) –1 < y < 5
C) y ≤ –1 or y ≥ 5
D) y ≤ 5 and y ≥ –1
,[GMAT2012g8] GMAT2012 g12cat8 Kaplan CAT
Certification Exam Guide
Answer: B
Explanation: |2y‑4|<6 → –6 < 2y‑4 < 6 → –2 < y < 5.
**Question 7.** If f(x)=3x – 2, what is f⁻¹(7)?
A) 3
B) 5/3
C) 3/5
D) 9
Answer: A
Explanation: Set 3x‑2=7 → 3x=9 → x=3.
**Question 8.** In a right triangle, the legs are 6 and 8. What is the length of the hypotenuse?
A) 10
B) 12
C) 14
D) 16
Answer: A
Explanation: By Pythagoras, √(6²+8²)=√(36+64)=√100=10.
**Question 9.** The interior angles of a quadrilateral sum to:
A) 180°
B) 270°
C) 360°
D) 540°
Answer: C
, [GMAT2012g8] GMAT2012 g12cat8 Kaplan CAT
Certification Exam Guide
Explanation: Sum = (n‑2)*180° for n=4 → 2*180°=360°.
**Question 10.** The area of a circle with radius 5 is:
A) 10π
B) 15π
C) 20π
D) 25π
Answer: D
Explanation: Area = πr² = π*25 = 25π.
**Question 11.** What is the volume of a cylinder with radius 3 and height 7?
A) 21π
B) 63π
C) 84π
D) 147π
Answer: B
Explanation: Volume = πr²h = π*9*7 =63π.
**Question 12.** In a data‑sufficiency problem, Statement 1: x + y = 10. Statement 2: x – y = 2.
The question asks for the value of x. Which statement(s) are sufficient?
A) Statement 1 alone
B) Statement 2 alone
C) Both together
D) Neither alone nor together
Answer: C
