[GMAT2013g3] GMAT2013 g12cat3 Kaplan CAT
Certification Exam Guide
**Question 1.** Which of the following integers is divisible by both 3 and 4?
A) 24
B) 30
C) 36
D) 42
Answer: A
Explanation: An integer divisible by both 3 and 4 must be divisible by 12. 24 ÷ 12 = 2, so 24
satisfies the condition.
**Question 2.** What is 0.75 expressed as a fraction in simplest form?
A) 3/5
B) 3/4
C) 7/9
D) 5/8
Answer: B
Explanation: 0.75 = 75/100 = 3/4 after dividing numerator and denominator by 25.
**Question 3.** If a car travels 180 miles in 3 hours, what is its average speed?
A) 50 mph
B) 55 mph
C) 60 mph
D) 65 mph
Answer: C
Explanation: Speed = distance ÷ time = 180 ÷ 3 = 60 miles per hour.
,[GMAT2013g3] GMAT2013 g12cat3 Kaplan CAT
Certification Exam Guide
**Question 4.** The ratio of cats to dogs in a shelter is 5:3. If there are 40 cats, how many dogs
are there?
A) 20
B) 24
C) 30
D) 32
Answer: B
Explanation: 5 parts correspond to 40 cats, so 1 part = 8. Dogs = 3 parts = 3×8 = 24.
**Question 5.** Simplify (2^4 · 2^3) ÷ 2^5.
A) 2^2
B) 2^3
C) 2^4
D) 2^5
Answer: A
Explanation: Multiply exponents: 2^(4+3)=2^7. Then divide by 2^5 → 2^(7‑5)=2^2.
**Question 6.** Solve for x: 3x – 7 = 2x + 5.
A) –12
B) –2
C) 2
D) 12
Answer: B
Explanation: Subtract 2x: x – 7 = 5 → x = 12. Wait calculation error; actually 3x‑7=2x+5 →
3x‑2x=5+7 → x=12. The correct answer is D (12).
**Correction:** Answer: D
,[GMAT2013g3] GMAT2013 g12cat3 Kaplan CAT
Certification Exam Guide
Explanation: Moving terms gives x = 12.
**Question 7.** Which inequality represents the solution set of |2y‑3| < 5?
A) y < ‑1 or y > 4
B) –1 < y < 4
C) y ≤ ‑1 or y ≥ 4
D) y ≤ ‑1 or y ≥ 4
Answer: B
Explanation: –5 < 2y‑3 < 5 → add 3: –2 < 2y < 8 → divide 2: –1 < y < 4.
**Question 8.** If f(x)=2x‑1, what is f⁻¹(7)?
A) 2
B) 3
C) 4
D) 5
Answer: C
Explanation: Set 2x‑1=7 → 2x=8 → x=4. The inverse evaluated at 7 equals 4.
**Question 9.** In a right triangle, one leg measures 6 and the hypotenuse 10. What is the
length of the other leg?
A) 4
B) 5
C) 8
D) 12
Answer: A
, [GMAT2013g3] GMAT2013 g12cat3 Kaplan CAT
Certification Exam Guide
Explanation: By Pythagoras: a² + 6² = 10² → a² = 100‑36 = 64 → a = 8? Wait 64 square root is 8,
but answer option A is 4. Actually compute: 10²‑6² = 100‑36 = 64 → √64 = 8. So correct answer
is C (8).
**Correction:** Answer: C
Explanation: The missing leg is √(100‑36)=8.
**Question 10.** The midpoint of segment AB has coordinates (3, ‑2). If A is (1, 4), what are the
coordinates of B?
A) (5, ‑8)
B) (5, ‑0)
C) (7, ‑8)
D) (7, ‑0)
Answer: A
Explanation: Midpoint formula: ((1+x)/2, (4+y)/2) = (3,‑2). Solve: (1+x)/2=3 → 1+x=6 → x=5.
(4+y)/2=‑2 → 4+y=‑4 → y=‑8.
**Question 11.** What is the volume of a cylinder with radius 3 cm and height 10 cm? (Use
π≈3.14)
A) 282.6 cm³
B) 314 cm³
C) 339.3 cm³
D) 376.8 cm³
Answer: A
Explanation: Volume = πr²h = 3.14·9·10 = 282.6 cm³.
**Question 12.** If 5 workers can complete a job in 12 days, how many days will 8 workers
take, assuming equal productivity?
Certification Exam Guide
**Question 1.** Which of the following integers is divisible by both 3 and 4?
A) 24
B) 30
C) 36
D) 42
Answer: A
Explanation: An integer divisible by both 3 and 4 must be divisible by 12. 24 ÷ 12 = 2, so 24
satisfies the condition.
**Question 2.** What is 0.75 expressed as a fraction in simplest form?
A) 3/5
B) 3/4
C) 7/9
D) 5/8
Answer: B
Explanation: 0.75 = 75/100 = 3/4 after dividing numerator and denominator by 25.
**Question 3.** If a car travels 180 miles in 3 hours, what is its average speed?
A) 50 mph
B) 55 mph
C) 60 mph
D) 65 mph
Answer: C
Explanation: Speed = distance ÷ time = 180 ÷ 3 = 60 miles per hour.
,[GMAT2013g3] GMAT2013 g12cat3 Kaplan CAT
Certification Exam Guide
**Question 4.** The ratio of cats to dogs in a shelter is 5:3. If there are 40 cats, how many dogs
are there?
A) 20
B) 24
C) 30
D) 32
Answer: B
Explanation: 5 parts correspond to 40 cats, so 1 part = 8. Dogs = 3 parts = 3×8 = 24.
**Question 5.** Simplify (2^4 · 2^3) ÷ 2^5.
A) 2^2
B) 2^3
C) 2^4
D) 2^5
Answer: A
Explanation: Multiply exponents: 2^(4+3)=2^7. Then divide by 2^5 → 2^(7‑5)=2^2.
**Question 6.** Solve for x: 3x – 7 = 2x + 5.
A) –12
B) –2
C) 2
D) 12
Answer: B
Explanation: Subtract 2x: x – 7 = 5 → x = 12. Wait calculation error; actually 3x‑7=2x+5 →
3x‑2x=5+7 → x=12. The correct answer is D (12).
**Correction:** Answer: D
,[GMAT2013g3] GMAT2013 g12cat3 Kaplan CAT
Certification Exam Guide
Explanation: Moving terms gives x = 12.
**Question 7.** Which inequality represents the solution set of |2y‑3| < 5?
A) y < ‑1 or y > 4
B) –1 < y < 4
C) y ≤ ‑1 or y ≥ 4
D) y ≤ ‑1 or y ≥ 4
Answer: B
Explanation: –5 < 2y‑3 < 5 → add 3: –2 < 2y < 8 → divide 2: –1 < y < 4.
**Question 8.** If f(x)=2x‑1, what is f⁻¹(7)?
A) 2
B) 3
C) 4
D) 5
Answer: C
Explanation: Set 2x‑1=7 → 2x=8 → x=4. The inverse evaluated at 7 equals 4.
**Question 9.** In a right triangle, one leg measures 6 and the hypotenuse 10. What is the
length of the other leg?
A) 4
B) 5
C) 8
D) 12
Answer: A
, [GMAT2013g3] GMAT2013 g12cat3 Kaplan CAT
Certification Exam Guide
Explanation: By Pythagoras: a² + 6² = 10² → a² = 100‑36 = 64 → a = 8? Wait 64 square root is 8,
but answer option A is 4. Actually compute: 10²‑6² = 100‑36 = 64 → √64 = 8. So correct answer
is C (8).
**Correction:** Answer: C
Explanation: The missing leg is √(100‑36)=8.
**Question 10.** The midpoint of segment AB has coordinates (3, ‑2). If A is (1, 4), what are the
coordinates of B?
A) (5, ‑8)
B) (5, ‑0)
C) (7, ‑8)
D) (7, ‑0)
Answer: A
Explanation: Midpoint formula: ((1+x)/2, (4+y)/2) = (3,‑2). Solve: (1+x)/2=3 → 1+x=6 → x=5.
(4+y)/2=‑2 → 4+y=‑4 → y=‑8.
**Question 11.** What is the volume of a cylinder with radius 3 cm and height 10 cm? (Use
π≈3.14)
A) 282.6 cm³
B) 314 cm³
C) 339.3 cm³
D) 376.8 cm³
Answer: A
Explanation: Volume = πr²h = 3.14·9·10 = 282.6 cm³.
**Question 12.** If 5 workers can complete a job in 12 days, how many days will 8 workers
take, assuming equal productivity?
