[GMAT2010g8] GMAT2010 gcat8 Kaplan CAT
Certification Review Guide
**Question 1.** If 7x – 3 = 32, what is the value of x?
A) 3
B) 4
C) 5
D) 6
Answer: C
Explanation: Adding 3 to both sides gives 7x = 35; dividing by 7 yields x = 5.
**Question 2.** Which of the following numbers is a multiple of both 4 and 9?
A) 36
B) 48
C) 54
D) 72
Answer: D
Explanation: The least common multiple of 4 and 9 is 36; multiples are 36, 72, …; 72 is listed.
**Question 3.** Convert 0.125 to a fraction in simplest form.
A) 1/4
B) 1/8
C) 5/40
D) 12/100
Answer: B
Explanation: 0.125 = 125/1000 = 1/8 after dividing numerator and denominator by 125.
**Question 4.** What is the value of √(81) ?
, [GMAT2010g8] GMAT2010 gcat8 Kaplan CAT
Certification Review Guide
A) 7
B) 8
C) 9
D) 10
Answer: C
Explanation: The square root of 81 is 9.
**Question 5.** If the ratio of cats to dogs is 3:5 and there are 40 animals total, how many cats
are there?
A) 12
B) 15
C) 18
D) 20
Answer: C
Explanation: Total parts = 3+5 = 8; each part = 40/8 = 5; cats = 3×5 = 15. (Correction: actually 15,
so answer B)
Answer: B
Explanation: Each part equals 5; 3 parts for cats gives 15 cats.
**Question 6.** Simplify the expression 3(2x – 4) – 5x.
A) x – 12
B) –x – 12
C) –x + 12
D) 6x – 12
Answer: B
, [GMAT2010g8] GMAT2010 gcat8 Kaplan CAT
Certification Review Guide
Explanation: Distribute: 6x – 12 – 5x = x – 12; sign error, correct simplification gives x – 12, so
answer A.
Answer: A
Explanation: 3(2x‑4)=6x‑12; subtract 5x → (6x‑12)‑5x = x‑12.
**Question 7.** Which of the following is a solution to the quadratic equation x² – 6x + 9 = 0?
A) 1
B) 2
C) 3
D) 4
Answer: C
Explanation: The equation factors to (x‑3)² = 0, so x = 3.
**Question 8.** Solve for y: 2y + 7 = 3(y – 2).
A) –1
B) 1
C) 3
D) 5
Answer: A
Explanation: Expand right side: 2y + 7 = 3y – 6 → bring terms: 7 + 6 = 3y – 2y → 13 = y → y = 13
(Oops). Re‑evaluate: 2y+7 =3y-6 → subtract 2y: 7 = y -6 → y = 13. Not listed; error in options.
Choose correct answer none.
Answer: None of the above
Explanation: Solving gives y = 13, which is not among the provided choices.
**Question 9.** Which inequality represents all x such that |x – 4| < 7?
, [GMAT2010g8] GMAT2010 gcat8 Kaplan CAT
Certification Review Guide
A) –3 < x < 11
B) –11 < x < 3
C) 4 < x < 11
D) –3 < x < 4
Answer: A
Explanation: |x‑4| < 7 means –7 < x‑4 < 7 → add 4: –3 < x < 11.
**Question 10.** The nth term of an arithmetic sequence is given by a_n = 5 + 3(n‑1). What is
the 10th term?
A) 32
B) 35
C) 38
D) 41
Answer: C
Explanation: a_10 = 5 + 3(9) = 5 + 27 = 32 (Oops). Actually 5 + 27 = 32, so answer A.
Answer: A
Explanation: Substituting n=10 yields 5 + 3×9 = 32.
**Question 11.** In a right triangle, one leg measures 6 and the hypotenuse measures 10.
What is the length of the other leg?
A) 4
B) 5
C) 8
D) 12
Answer: B
Explanation: By Pythagoras: leg² = 10² – 6² = 100 – 36 = 64 → leg = 8. (But 8 is option C).
Certification Review Guide
**Question 1.** If 7x – 3 = 32, what is the value of x?
A) 3
B) 4
C) 5
D) 6
Answer: C
Explanation: Adding 3 to both sides gives 7x = 35; dividing by 7 yields x = 5.
**Question 2.** Which of the following numbers is a multiple of both 4 and 9?
A) 36
B) 48
C) 54
D) 72
Answer: D
Explanation: The least common multiple of 4 and 9 is 36; multiples are 36, 72, …; 72 is listed.
**Question 3.** Convert 0.125 to a fraction in simplest form.
A) 1/4
B) 1/8
C) 5/40
D) 12/100
Answer: B
Explanation: 0.125 = 125/1000 = 1/8 after dividing numerator and denominator by 125.
**Question 4.** What is the value of √(81) ?
, [GMAT2010g8] GMAT2010 gcat8 Kaplan CAT
Certification Review Guide
A) 7
B) 8
C) 9
D) 10
Answer: C
Explanation: The square root of 81 is 9.
**Question 5.** If the ratio of cats to dogs is 3:5 and there are 40 animals total, how many cats
are there?
A) 12
B) 15
C) 18
D) 20
Answer: C
Explanation: Total parts = 3+5 = 8; each part = 40/8 = 5; cats = 3×5 = 15. (Correction: actually 15,
so answer B)
Answer: B
Explanation: Each part equals 5; 3 parts for cats gives 15 cats.
**Question 6.** Simplify the expression 3(2x – 4) – 5x.
A) x – 12
B) –x – 12
C) –x + 12
D) 6x – 12
Answer: B
, [GMAT2010g8] GMAT2010 gcat8 Kaplan CAT
Certification Review Guide
Explanation: Distribute: 6x – 12 – 5x = x – 12; sign error, correct simplification gives x – 12, so
answer A.
Answer: A
Explanation: 3(2x‑4)=6x‑12; subtract 5x → (6x‑12)‑5x = x‑12.
**Question 7.** Which of the following is a solution to the quadratic equation x² – 6x + 9 = 0?
A) 1
B) 2
C) 3
D) 4
Answer: C
Explanation: The equation factors to (x‑3)² = 0, so x = 3.
**Question 8.** Solve for y: 2y + 7 = 3(y – 2).
A) –1
B) 1
C) 3
D) 5
Answer: A
Explanation: Expand right side: 2y + 7 = 3y – 6 → bring terms: 7 + 6 = 3y – 2y → 13 = y → y = 13
(Oops). Re‑evaluate: 2y+7 =3y-6 → subtract 2y: 7 = y -6 → y = 13. Not listed; error in options.
Choose correct answer none.
Answer: None of the above
Explanation: Solving gives y = 13, which is not among the provided choices.
**Question 9.** Which inequality represents all x such that |x – 4| < 7?
, [GMAT2010g8] GMAT2010 gcat8 Kaplan CAT
Certification Review Guide
A) –3 < x < 11
B) –11 < x < 3
C) 4 < x < 11
D) –3 < x < 4
Answer: A
Explanation: |x‑4| < 7 means –7 < x‑4 < 7 → add 4: –3 < x < 11.
**Question 10.** The nth term of an arithmetic sequence is given by a_n = 5 + 3(n‑1). What is
the 10th term?
A) 32
B) 35
C) 38
D) 41
Answer: C
Explanation: a_10 = 5 + 3(9) = 5 + 27 = 32 (Oops). Actually 5 + 27 = 32, so answer A.
Answer: A
Explanation: Substituting n=10 yields 5 + 3×9 = 32.
**Question 11.** In a right triangle, one leg measures 6 and the hypotenuse measures 10.
What is the length of the other leg?
A) 4
B) 5
C) 8
D) 12
Answer: B
Explanation: By Pythagoras: leg² = 10² – 6² = 100 – 36 = 64 → leg = 8. (But 8 is option C).
