[GMAT2012g9] GMAT2012 g12cat9 Kaplan CAT
Certification Review Guide
Question 1. 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 obtain 12.
Question 2. Which integer is a multiple of both 4 and 9?
A) 24
B) 36
C) 48
D) 60
Answer: B
Explanation: The least common multiple of 4 and 9 is 36.
Question 3. A store marks up a product by 25 % and then offers a 20 % discount on the marked
price. The final price is 96 % of the original cost. What is the original price if the final price is
$240?
A) $250
B) $260
C) $270
D) $280
Answer: B
,[GMAT2012g9] GMAT2012 g12cat9 Kaplan CAT
Certification Review Guide
Explanation: Let original price = P. Marked price = 1.25P; after discount = 0.80·1.25P =
1.00P·0.96 = 0.96P = $240, so P = $250. (Answer B is $260, but calculation gives $250; therefore
correct answer is A.)
Corrected Answer: A
Explanation: Solving 0.96P = 240 gives P = 250.
Question 4. In the ratio 5:12, what percent does the first term represent of the whole?
A) 29.4 %
B) 30 %
C) 31.6 %
D) 33.3 %
Answer: A
Explanation: 5/(5+12)=5/17≈0.294≈29.4 %.
Question 5. Simplify (3^4 · 3^−2) ÷ 3^1.
A) 3
B) 9
C) 27
D) 81
Answer: A
Explanation: 3^(4‑2‑1)=3^1=3.
Question 6. If √x = 7, what is the value of x?
A) 7
B) 14
,[GMAT2012g9] GMAT2012 g12cat9 Kaplan CAT
Certification Review Guide
C) 49
D) 98
Answer: C
Explanation: Square both sides: x = 7^2 = 49.
Question 7. Solve for y: 2y − 5 = 3y + 4.
A) ‑9
B) ‑1
C) 5
D) 9
Answer: A
Explanation: Subtract 2y: ‑5 = y + 4 → y = ‑9.
Question 8. Which of the following is the solution set of the inequality |x − 3| < 5?
A) x < ‑2 or x > 8
B) ‑2 < x < 8
C) x ≤ ‑2 or x ≥ 8
D) x ≤ ‑2 or x ≥ 8
Answer: B
Explanation: Distance from 3 less than 5 gives -2 < x < 8.
Question 9. If f(x)=2x + 3, what is f⁻¹(y)?
A) (y‑3)/2
B) (y+3)/2
C) 2y‑3
, [GMAT2012g9] GMAT2012 g12cat9 Kaplan CAT
Certification Review Guide
D) 2y+3
Answer: A
Explanation: Swap variables and solve: x = (y‑3)/2.
Question 10. The points (2, k) and (5, ‑1) lie on a line with slope 2. What is k?
A) ‑5
B) ‑3
C) ‑1
D) 1
Answer: B
Explanation: Slope = (‑1 − k)/(5‑2)=2 → (‑1‑k)=6 → k=‑7? Wait compute: (‑1‑k)=2·3=6 → ‑1‑k=6
→ k=‑7. None match; re‑evaluate: slope = (‑1‑k)/(3)=2 → ‑1‑k=6 → k=‑7. Since not listed, correct
answer is not present; adjust question.
Corrected Question 10: The points (2, k) and (5, ‑1) lie on a line with slope –2. What is k?
A) ‑5
B) ‑3
C) ‑1
D) 1
Answer: B
Explanation: (‑1‑k)/3 = –2 → ‑1‑k = –6 → k = 5. (Oops again)
Let's replace with a consistent one:
Corrected Question 10: The points (2, k) and (5, 8) lie on a line with slope 2. What is k?
A) ‑2
Certification Review Guide
Question 1. 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 obtain 12.
Question 2. Which integer is a multiple of both 4 and 9?
A) 24
B) 36
C) 48
D) 60
Answer: B
Explanation: The least common multiple of 4 and 9 is 36.
Question 3. A store marks up a product by 25 % and then offers a 20 % discount on the marked
price. The final price is 96 % of the original cost. What is the original price if the final price is
$240?
A) $250
B) $260
C) $270
D) $280
Answer: B
,[GMAT2012g9] GMAT2012 g12cat9 Kaplan CAT
Certification Review Guide
Explanation: Let original price = P. Marked price = 1.25P; after discount = 0.80·1.25P =
1.00P·0.96 = 0.96P = $240, so P = $250. (Answer B is $260, but calculation gives $250; therefore
correct answer is A.)
Corrected Answer: A
Explanation: Solving 0.96P = 240 gives P = 250.
Question 4. In the ratio 5:12, what percent does the first term represent of the whole?
A) 29.4 %
B) 30 %
C) 31.6 %
D) 33.3 %
Answer: A
Explanation: 5/(5+12)=5/17≈0.294≈29.4 %.
Question 5. Simplify (3^4 · 3^−2) ÷ 3^1.
A) 3
B) 9
C) 27
D) 81
Answer: A
Explanation: 3^(4‑2‑1)=3^1=3.
Question 6. If √x = 7, what is the value of x?
A) 7
B) 14
,[GMAT2012g9] GMAT2012 g12cat9 Kaplan CAT
Certification Review Guide
C) 49
D) 98
Answer: C
Explanation: Square both sides: x = 7^2 = 49.
Question 7. Solve for y: 2y − 5 = 3y + 4.
A) ‑9
B) ‑1
C) 5
D) 9
Answer: A
Explanation: Subtract 2y: ‑5 = y + 4 → y = ‑9.
Question 8. Which of the following is the solution set of the inequality |x − 3| < 5?
A) x < ‑2 or x > 8
B) ‑2 < x < 8
C) x ≤ ‑2 or x ≥ 8
D) x ≤ ‑2 or x ≥ 8
Answer: B
Explanation: Distance from 3 less than 5 gives -2 < x < 8.
Question 9. If f(x)=2x + 3, what is f⁻¹(y)?
A) (y‑3)/2
B) (y+3)/2
C) 2y‑3
, [GMAT2012g9] GMAT2012 g12cat9 Kaplan CAT
Certification Review Guide
D) 2y+3
Answer: A
Explanation: Swap variables and solve: x = (y‑3)/2.
Question 10. The points (2, k) and (5, ‑1) lie on a line with slope 2. What is k?
A) ‑5
B) ‑3
C) ‑1
D) 1
Answer: B
Explanation: Slope = (‑1 − k)/(5‑2)=2 → (‑1‑k)=6 → k=‑7? Wait compute: (‑1‑k)=2·3=6 → ‑1‑k=6
→ k=‑7. None match; re‑evaluate: slope = (‑1‑k)/(3)=2 → ‑1‑k=6 → k=‑7. Since not listed, correct
answer is not present; adjust question.
Corrected Question 10: The points (2, k) and (5, ‑1) lie on a line with slope –2. What is k?
A) ‑5
B) ‑3
C) ‑1
D) 1
Answer: B
Explanation: (‑1‑k)/3 = –2 → ‑1‑k = –6 → k = 5. (Oops again)
Let's replace with a consistent one:
Corrected Question 10: The points (2, k) and (5, 8) lie on a line with slope 2. What is k?
A) ‑2
