[GMAT2012g2] GMAT2012 g12cat2 Kaplan CAT
Certification Exam Guide
**Question 1.** A number is divisible by 9 if the sum of its digits is a multiple of 9. What is the
smallest three‑digit number divisible by 9?
A) 108
B) 117
C) 126
D) 135
Answer: A
Explanation: The smallest three‑digit number is 100; the next multiple of 9 after 99 is 108.
**Question 2.** If 7 × x = 84, what is the value of x?
A) 10
B) 11
C) 12
D) 13
Answer: C
Explanation: Divide 84 by 7 to get 12.
**Question 3.** What is 25% of 160?
A) 30
B) 35
C) 40
D) 45
Answer: C
Explanation: 25% = 1/4; 160 ÷ 4 = 40.
,[GMAT2012g2] GMAT2012 g12cat2 Kaplan CAT
Certification Exam Guide
**Question 4.** A recipe calls for a ratio of sugar to flour of 2:5. If a baker uses 12 cups of flour,
how many cups of sugar are needed?
A) 3
B) 4.8
C) 5
D) 6
Answer: D
Explanation: 2/5 = sugar/12 ⇒ sugar = (2/5)×12 = 4.8, but the ratio must be whole; the correct
proportion gives 4.8, which rounds to 5? Actually correct answer is 4.8, so choose B.
**Correction:** Answer: B. Explanation: sugar = (2/5)×12 = 4.8 cups.
**Question 5.** Simplify (3³ × 3²) ÷ 3⁴.
A) 3⁰
B) 3¹
C) 3²
D) 3³
Answer: B
Explanation: Exponents add in numerator: 3³⁺²=3⁵; then subtract denominator exponent: 5‑4=1,
so 3¹.
**Question 6.** What is the square root of 0.04?
A) 0.2
B) 0.4
C) 2
D) 4
Answer: A
,[GMAT2012g2] GMAT2012 g12cat2 Kaplan CAT
Certification Exam Guide
Explanation: (0.2)² = 0.04.
**Question 7.** The mean of five numbers is 14. If one of the numbers is 20, what is the sum of
the remaining four numbers?
A) 56
B) 60
C) 64
D) 70
Answer: A
Explanation: Total sum = 5×14 = 70; subtract 20 → 50. Oops miscalc: 70‑20=50, not listed. Let's
adjust options. **Correction:** Answer: 50 (not in list). Replace option A with 50. Answer: A.
Explanation: Sum of remaining four = 70‑20 = 50.
**Question 8.** In a set of integers {2, 4, 6, 8, 10}, what is the median?
A) 4
B) 5
C) 6
D) 7
Answer: C
Explanation: Ordered set, middle value is 6.
**Question 9.** If the probability of drawing a red marble from a bag is 3/8, how many red
marbles are there if the bag contains 24 marbles total?
A) 6
B) 9
C) 12
, [GMAT2012g2] GMAT2012 g12cat2 Kaplan CAT
Certification Exam Guide
D) 15
Answer: B
Explanation: 3/8 × 24 = 9.
**Question 10.** Solve for x: 5x − 3 = 2x + 12.
A) 2
B) 3
C) 5
D) 7
Answer: D
Explanation: 5x − 2x = 12 + 3 → 3x = 15 → x = 5. Wait that's 5, not 7. **Correction:** Answer: C.
Explanation: 5x − 3 = 2x + 12 → 3x = 15 → x = 5.
**Question 11.** Which of the following is the solution set for |x − 4| < 7?
A) x < −3 or x > 11
B) −3 < x < 11
C) x ≤ −3 or x ≥ 11
D) x = 4
Answer: B
Explanation: Distance from 4 less than 7 gives interval (−3, 11).
**Question 12.** If f(x) = 2x + 5, what is f(−3)?
A) −1
B) − 1
C) − 11
Certification Exam Guide
**Question 1.** A number is divisible by 9 if the sum of its digits is a multiple of 9. What is the
smallest three‑digit number divisible by 9?
A) 108
B) 117
C) 126
D) 135
Answer: A
Explanation: The smallest three‑digit number is 100; the next multiple of 9 after 99 is 108.
**Question 2.** If 7 × x = 84, what is the value of x?
A) 10
B) 11
C) 12
D) 13
Answer: C
Explanation: Divide 84 by 7 to get 12.
**Question 3.** What is 25% of 160?
A) 30
B) 35
C) 40
D) 45
Answer: C
Explanation: 25% = 1/4; 160 ÷ 4 = 40.
,[GMAT2012g2] GMAT2012 g12cat2 Kaplan CAT
Certification Exam Guide
**Question 4.** A recipe calls for a ratio of sugar to flour of 2:5. If a baker uses 12 cups of flour,
how many cups of sugar are needed?
A) 3
B) 4.8
C) 5
D) 6
Answer: D
Explanation: 2/5 = sugar/12 ⇒ sugar = (2/5)×12 = 4.8, but the ratio must be whole; the correct
proportion gives 4.8, which rounds to 5? Actually correct answer is 4.8, so choose B.
**Correction:** Answer: B. Explanation: sugar = (2/5)×12 = 4.8 cups.
**Question 5.** Simplify (3³ × 3²) ÷ 3⁴.
A) 3⁰
B) 3¹
C) 3²
D) 3³
Answer: B
Explanation: Exponents add in numerator: 3³⁺²=3⁵; then subtract denominator exponent: 5‑4=1,
so 3¹.
**Question 6.** What is the square root of 0.04?
A) 0.2
B) 0.4
C) 2
D) 4
Answer: A
,[GMAT2012g2] GMAT2012 g12cat2 Kaplan CAT
Certification Exam Guide
Explanation: (0.2)² = 0.04.
**Question 7.** The mean of five numbers is 14. If one of the numbers is 20, what is the sum of
the remaining four numbers?
A) 56
B) 60
C) 64
D) 70
Answer: A
Explanation: Total sum = 5×14 = 70; subtract 20 → 50. Oops miscalc: 70‑20=50, not listed. Let's
adjust options. **Correction:** Answer: 50 (not in list). Replace option A with 50. Answer: A.
Explanation: Sum of remaining four = 70‑20 = 50.
**Question 8.** In a set of integers {2, 4, 6, 8, 10}, what is the median?
A) 4
B) 5
C) 6
D) 7
Answer: C
Explanation: Ordered set, middle value is 6.
**Question 9.** If the probability of drawing a red marble from a bag is 3/8, how many red
marbles are there if the bag contains 24 marbles total?
A) 6
B) 9
C) 12
, [GMAT2012g2] GMAT2012 g12cat2 Kaplan CAT
Certification Exam Guide
D) 15
Answer: B
Explanation: 3/8 × 24 = 9.
**Question 10.** Solve for x: 5x − 3 = 2x + 12.
A) 2
B) 3
C) 5
D) 7
Answer: D
Explanation: 5x − 2x = 12 + 3 → 3x = 15 → x = 5. Wait that's 5, not 7. **Correction:** Answer: C.
Explanation: 5x − 3 = 2x + 12 → 3x = 15 → x = 5.
**Question 11.** Which of the following is the solution set for |x − 4| < 7?
A) x < −3 or x > 11
B) −3 < x < 11
C) x ≤ −3 or x ≥ 11
D) x = 4
Answer: B
Explanation: Distance from 4 less than 7 gives interval (−3, 11).
**Question 12.** If f(x) = 2x + 5, what is f(−3)?
A) −1
B) − 1
C) − 11
