[GMAT2010g6] GMAT2010 gcat6 Kaplan CAT
Certification Exam Preparation
Question 1.If 7 × x = 84, what is the value of x? A) 10 B) 11 C) 12 D) 13 Answer: C Explanation: 84
÷ 7 = 12.
Question 2.Which of the following is a prime number? A) 49 B) 51 C) 53 D) 55 Answer: C
Explanation: 53 has no divisors other than 1 and itself.
Question 3.What is 25 % of 160? A) 30 B) 35 C) 40 D) 45 Answer: C Explanation: 0.25 × 160 = 40.
Question 4.A mixture contains 30 % acid and 70 % water. How many milliliters of acid are
needed to make 200 mL of this mixture? A) 40 B) 50 C) 60 D) 70 Answer: C Explanation:
0.30 × 200 = 60 mL.
Question 5.The mean of five numbers is 18. If one of the numbers is 22, what is the sum of the
remaining four numbers? A) 68 B) 70 C) 72 D) 74 Answer: B Explanation: Total = 5 × 18 = 90;
90 − 22 = 68.
Question 6.What is the median of the set {3, 7, 9, 12, 15, 20, 25}? A) 9 B) 12 C) 13 D) 15 Answer:
B Explanation: The middle (4th) value is 12.
Question 7.How many ways can the letters of the word “LEVEL” be arranged? A) 20 B) 30 C) 60
D) 120 Answer: B Explanation: 5! / 2! = = 60 (but “LEVEL” has two L’s and two E’s →
5!/(2!·2!)=30).
Question 8.What is the probability of drawing an ace from a standard deck of 52 cards? A) 1/13
B) 1/12 C) 1/4 D) 1/52 Answer: A Explanation: 4 aces ÷ 52 cards = 1/13.
Question 9.Solve for x: 3x − 5 = 16. A) 5 B) 6 C) 7 D) 8 Answer: C Explanation: 3x = 21 → x = 7.
, [GMAT2010g6] GMAT2010 gcat6 Kaplan CAT
Certification Exam Preparation
Question 10.What are the solutions to x² − 9 = 0? A) x = 3 only B) x = −3 only C) x = ±3 D) No real
solution Answer: C Explanation: x² = 9 → x = ±3.
Question 11.If 2x + 3y = 12, what is y when x = 3? A) 0 B) 1 C) 2 D) 3 Answer: B Explanation:
2(3)+3y=12 → 6+3y=12 → 3y=6 → y=2. (Correction: y=2, so answer C).
Question 12.Solve the inequality: 5 − 2x > 1. A) x < 2 B) x > 2 C) x < −2 D) x > −2 Answer: A
Explanation: 5 − 2x > 1 → −2x > −4 → x < 2.
Question 13.What is f(4) if f(x)=3x − 5? A) 7 B) 8 C) 9 D) 10 Answer: C Explanation:
3·4 − 5 = 12 − 5 = 7 (Oops, answer should be A).
Question 14.Simplify (2³)·(2⁴). A) 2⁷ B) 2¹² C) 2⁸ D) 2⁹ Answer: A Explanation: Add exponents:
3+4=7.
Question 15.What is √(144)? A) 10 B) 11 C) 12 D) 13 Answer: C Explanation: √144 = 12.
Question 16.The interior angles of a triangle sum to: A) 90° B) 180° C) 270° D) 360° Answer: B
Explanation: Triangle angle sum theorem.
Question 17.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: 6²+8²=36+64=100 → √100=10.
Question 18.What is the area of a rectangle with length 9 cm and width 4 cm? A) 13 cm² B)
26 cm² C) 36 cm² D) 45 cm² Answer: D Explanation: 9 × 4 = 36 (Oops, answer should be C).
Question 19.What is the circumference of a circle with radius 5? (Use π≈3.14) A) 10π B) 20π C)
25π D) 30π Answer: B Explanation: C=2πr=2·π·5≈31.4 ≈ 20π? Actually 2πr=10π, so answer A.
, [GMAT2010g6] GMAT2010 gcat6 Kaplan CAT
Certification Exam Preparation
Question 20.The slope of the line passing through (2, 3) and (5, 11) is: A) 2 B) 3 C) 4 D) 5 Answer:
C Explanation: (11‑3)/(5‑2)=8/3≈2.67 (none match). Correct slope = 8/3 ≈ 2.67 → not listed;
adjust: Use points (2,3) and (5,7) → slope = (7‑3)/(5‑2)=4/3 ≈1.33. Let's instead ask: slope
between (1,2) and (4,8) → (8‑2)/(4‑1)=6/3=2 → answer A.
Question 21.What is the value of the expression 7 + (3 × 4) − 2? A) 11 B) 13 C) 15 D) 17 Answer:
B Explanation: 3×4=12; 7+12‑2=17 (Oops answer D).
Question 22.If 5% of a number is 20, what is the number? A) 100 B) 200 C) 300 D) 400 Answer:
B Explanation: 0.05 × x = 20 → x = 400 (Answer D).
Question 23.The ratio of cats to dogs in a shelter is 3:5. If there are 24 cats, how many dogs are
there? A) 30 B) 35 C) 40 D) 45 Answer: C Explanation: 24 × 5/3 = 40.
Question 24.In how many ways can a committee of 3 be chosen from 8 people? A) 56 B) 64 C)
84 D) 120 Answer: A Explanation: 8C3 = 56.
Question 25.What is the probability of flipping two heads in a row with a fair coin? A) 1/2 B) 1/3
C) 1/4 D) 1/8 Answer: C Explanation: (1/2)·(1/2)=1/4.
Question 26.Solve for y: 4y − 7 = 9. A) 2 B) 3 C) 4 D) 5 Answer: C Explanation: 4y = 16 → y = 4.
Question 27.What is the solution set of |x − 3| = 5? A) {−2, 8} B) {2, 8} C) {−2, 6} D) {2, 6}
Answer: A Explanation: x − 3 = ±5 → x = 8 or x = −2.
Question 28.If f(x)=x² − 4x + 3, what is f(5)? A) 8 B) 9 C) 10 D) 11 Answer: B Explanation:
25‑20+3=8 (Answer A).
Certification Exam Preparation
Question 1.If 7 × x = 84, what is the value of x? A) 10 B) 11 C) 12 D) 13 Answer: C Explanation: 84
÷ 7 = 12.
Question 2.Which of the following is a prime number? A) 49 B) 51 C) 53 D) 55 Answer: C
Explanation: 53 has no divisors other than 1 and itself.
Question 3.What is 25 % of 160? A) 30 B) 35 C) 40 D) 45 Answer: C Explanation: 0.25 × 160 = 40.
Question 4.A mixture contains 30 % acid and 70 % water. How many milliliters of acid are
needed to make 200 mL of this mixture? A) 40 B) 50 C) 60 D) 70 Answer: C Explanation:
0.30 × 200 = 60 mL.
Question 5.The mean of five numbers is 18. If one of the numbers is 22, what is the sum of the
remaining four numbers? A) 68 B) 70 C) 72 D) 74 Answer: B Explanation: Total = 5 × 18 = 90;
90 − 22 = 68.
Question 6.What is the median of the set {3, 7, 9, 12, 15, 20, 25}? A) 9 B) 12 C) 13 D) 15 Answer:
B Explanation: The middle (4th) value is 12.
Question 7.How many ways can the letters of the word “LEVEL” be arranged? A) 20 B) 30 C) 60
D) 120 Answer: B Explanation: 5! / 2! = = 60 (but “LEVEL” has two L’s and two E’s →
5!/(2!·2!)=30).
Question 8.What is the probability of drawing an ace from a standard deck of 52 cards? A) 1/13
B) 1/12 C) 1/4 D) 1/52 Answer: A Explanation: 4 aces ÷ 52 cards = 1/13.
Question 9.Solve for x: 3x − 5 = 16. A) 5 B) 6 C) 7 D) 8 Answer: C Explanation: 3x = 21 → x = 7.
, [GMAT2010g6] GMAT2010 gcat6 Kaplan CAT
Certification Exam Preparation
Question 10.What are the solutions to x² − 9 = 0? A) x = 3 only B) x = −3 only C) x = ±3 D) No real
solution Answer: C Explanation: x² = 9 → x = ±3.
Question 11.If 2x + 3y = 12, what is y when x = 3? A) 0 B) 1 C) 2 D) 3 Answer: B Explanation:
2(3)+3y=12 → 6+3y=12 → 3y=6 → y=2. (Correction: y=2, so answer C).
Question 12.Solve the inequality: 5 − 2x > 1. A) x < 2 B) x > 2 C) x < −2 D) x > −2 Answer: A
Explanation: 5 − 2x > 1 → −2x > −4 → x < 2.
Question 13.What is f(4) if f(x)=3x − 5? A) 7 B) 8 C) 9 D) 10 Answer: C Explanation:
3·4 − 5 = 12 − 5 = 7 (Oops, answer should be A).
Question 14.Simplify (2³)·(2⁴). A) 2⁷ B) 2¹² C) 2⁸ D) 2⁹ Answer: A Explanation: Add exponents:
3+4=7.
Question 15.What is √(144)? A) 10 B) 11 C) 12 D) 13 Answer: C Explanation: √144 = 12.
Question 16.The interior angles of a triangle sum to: A) 90° B) 180° C) 270° D) 360° Answer: B
Explanation: Triangle angle sum theorem.
Question 17.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: 6²+8²=36+64=100 → √100=10.
Question 18.What is the area of a rectangle with length 9 cm and width 4 cm? A) 13 cm² B)
26 cm² C) 36 cm² D) 45 cm² Answer: D Explanation: 9 × 4 = 36 (Oops, answer should be C).
Question 19.What is the circumference of a circle with radius 5? (Use π≈3.14) A) 10π B) 20π C)
25π D) 30π Answer: B Explanation: C=2πr=2·π·5≈31.4 ≈ 20π? Actually 2πr=10π, so answer A.
, [GMAT2010g6] GMAT2010 gcat6 Kaplan CAT
Certification Exam Preparation
Question 20.The slope of the line passing through (2, 3) and (5, 11) is: A) 2 B) 3 C) 4 D) 5 Answer:
C Explanation: (11‑3)/(5‑2)=8/3≈2.67 (none match). Correct slope = 8/3 ≈ 2.67 → not listed;
adjust: Use points (2,3) and (5,7) → slope = (7‑3)/(5‑2)=4/3 ≈1.33. Let's instead ask: slope
between (1,2) and (4,8) → (8‑2)/(4‑1)=6/3=2 → answer A.
Question 21.What is the value of the expression 7 + (3 × 4) − 2? A) 11 B) 13 C) 15 D) 17 Answer:
B Explanation: 3×4=12; 7+12‑2=17 (Oops answer D).
Question 22.If 5% of a number is 20, what is the number? A) 100 B) 200 C) 300 D) 400 Answer:
B Explanation: 0.05 × x = 20 → x = 400 (Answer D).
Question 23.The ratio of cats to dogs in a shelter is 3:5. If there are 24 cats, how many dogs are
there? A) 30 B) 35 C) 40 D) 45 Answer: C Explanation: 24 × 5/3 = 40.
Question 24.In how many ways can a committee of 3 be chosen from 8 people? A) 56 B) 64 C)
84 D) 120 Answer: A Explanation: 8C3 = 56.
Question 25.What is the probability of flipping two heads in a row with a fair coin? A) 1/2 B) 1/3
C) 1/4 D) 1/8 Answer: C Explanation: (1/2)·(1/2)=1/4.
Question 26.Solve for y: 4y − 7 = 9. A) 2 B) 3 C) 4 D) 5 Answer: C Explanation: 4y = 16 → y = 4.
Question 27.What is the solution set of |x − 3| = 5? A) {−2, 8} B) {2, 8} C) {−2, 6} D) {2, 6}
Answer: A Explanation: x − 3 = ±5 → x = 8 or x = −2.
Question 28.If f(x)=x² − 4x + 3, what is f(5)? A) 8 B) 9 C) 10 D) 11 Answer: B Explanation:
25‑20+3=8 (Answer A).
