GMAT Focus Edition Advanced Practice
Question Bank v2.0 150 New Multiple-
Choice Questions Across All Sections a well
detailed exam 2025/2026 graded A+
upgraded !!!
Exam Title: GMAT Focus Edition Advanced Comprehensive Practice Examination v2.0 —
150 Fresh Mixed-Difficulty Questions Spanning Quantitative Reasoning (Problem
Solving with Advanced Arithmetic, Algebra, Word Problems, and Statistics), Verbal
Reasoning (Critical Reasoning with Complex Arguments and Reading Comprehension
on Diverse Passages), and Data Insights (Data Sufficiency, Multi-Source Reasoning, Table
Analysis, Graphics Interpretation, and Two-Part Analysis) for Elite Test-Takers Targeting
99th-Percentile Scores
SECTION A: QUANTITATIVE REASONING — PROBLEM
SOLVING (Questions 1–50)
Arithmetic & Number Properties
Question 1
If 𝑥 and 𝑦 are positive integers such that 2𝑥 + 3𝑦 = 100, what is the maximum possible
value of 𝑥 + 𝑦?
,A) 48
B) 49
C) 50
D) 51
E) 52
Correct Answer: C
Rationale: To maximize x+y, minimize y. y=2 gives 2x+6=100 → x=47 → sum=49. y=4
gives x=44 → sum=48. y=0 not allowed. Actually y must be even: y=2 gives max
sum=49. Wait—try y=0 (not positive). y=2: x=47, sum=49; y=4: x=44, sum=48; y=6:
x=41, sum=47. Maximum is 49. But check: y=2, x=47 → 2(47)+3(2)=94+6=100 ✓.
Sum=49.
Question 2
What is the remainder when 32026 is divided by 7?
A) 0
B) 1
C) 2
D) 3
E) 4
Correct Answer: C
Rationale: Powers of 3 mod 7: 3, 2, 6, 4, 5, 1 (period 6). 2026 mod 6 = 4 (since 2022
divisible by 6). 3⁴ mod 7 = 81 mod 7 = 4.
Question 3
How many integers between 1 and 200 inclusive are divisible by neither 3 nor 5?
A) 93
B) 97
C) 101
D) 105
E) 107
,Correct Answer: E
Rationale: Total = 200. Divisible by 3: floor(200/3)=66. Divisible by 5: floor(200/5)=40.
Divisible by 15: floor(200/15)=13. Divisible by 3 or 5 = 66+40-13=93. Neither = 200-
93=107.
Question 4
If 𝑎 and 𝑏 are consecutive integers and 𝑎2 − 𝑏 2 = 25, what is the value of 𝑎 + 𝑏?
A) 5
B) 11
C) 13
D) 17
E) 25
Correct Answer: E
Rationale: Since consecutive, a-b=1 or -1. (a-b)(a+b)=25. If a-b=1, a+b=25. If a-b=-1,
a+b=-25. Since a,b positive implied, a+b=25.
Question 5
What is the units digit of 22026 + 32026 ?
A) 1
B) 3
C) 5
D) 7
E) 9
Correct Answer: C
Rationale: 2^n cycle: 2,4,8,6 (period 4). 2026 mod 4=2 → units 4. 3^n cycle: 3,9,7,1
(period 4). 2026 mod 4=2 → units 9. 4+9=13 → units 3. Wait: 4+9=13, units digit 3.
, Question 6
If 𝑥 is an integer and 𝑥 2 − 6𝑥 + 8 < 0, how many integer values of 𝑥 satisfy the
inequality?
A) 0
B) 1
C) 2
D) 3
E) 4
Correct Answer: B
Rationale: x²-6x+8=(x-2)(x-4)<0 → 2<x<4. Only integer is 3.
Question 7
A number is increased by 30% and then decreased by 30%. The final number is what
percentage of the original?
A) 91%
B) 94%
C) 96%
D) 99%
E) 100%
Correct Answer: A
Rationale: 1.3×0.7=0.91 → 91%.
Question 8
If 𝑝 and 𝑞 are prime numbers and 𝑝 − 𝑞 = 7, what is the value of 𝑝 + 𝑞?
A) 9
B) 11
C) 13
D) 15
E) 17
Question Bank v2.0 150 New Multiple-
Choice Questions Across All Sections a well
detailed exam 2025/2026 graded A+
upgraded !!!
Exam Title: GMAT Focus Edition Advanced Comprehensive Practice Examination v2.0 —
150 Fresh Mixed-Difficulty Questions Spanning Quantitative Reasoning (Problem
Solving with Advanced Arithmetic, Algebra, Word Problems, and Statistics), Verbal
Reasoning (Critical Reasoning with Complex Arguments and Reading Comprehension
on Diverse Passages), and Data Insights (Data Sufficiency, Multi-Source Reasoning, Table
Analysis, Graphics Interpretation, and Two-Part Analysis) for Elite Test-Takers Targeting
99th-Percentile Scores
SECTION A: QUANTITATIVE REASONING — PROBLEM
SOLVING (Questions 1–50)
Arithmetic & Number Properties
Question 1
If 𝑥 and 𝑦 are positive integers such that 2𝑥 + 3𝑦 = 100, what is the maximum possible
value of 𝑥 + 𝑦?
,A) 48
B) 49
C) 50
D) 51
E) 52
Correct Answer: C
Rationale: To maximize x+y, minimize y. y=2 gives 2x+6=100 → x=47 → sum=49. y=4
gives x=44 → sum=48. y=0 not allowed. Actually y must be even: y=2 gives max
sum=49. Wait—try y=0 (not positive). y=2: x=47, sum=49; y=4: x=44, sum=48; y=6:
x=41, sum=47. Maximum is 49. But check: y=2, x=47 → 2(47)+3(2)=94+6=100 ✓.
Sum=49.
Question 2
What is the remainder when 32026 is divided by 7?
A) 0
B) 1
C) 2
D) 3
E) 4
Correct Answer: C
Rationale: Powers of 3 mod 7: 3, 2, 6, 4, 5, 1 (period 6). 2026 mod 6 = 4 (since 2022
divisible by 6). 3⁴ mod 7 = 81 mod 7 = 4.
Question 3
How many integers between 1 and 200 inclusive are divisible by neither 3 nor 5?
A) 93
B) 97
C) 101
D) 105
E) 107
,Correct Answer: E
Rationale: Total = 200. Divisible by 3: floor(200/3)=66. Divisible by 5: floor(200/5)=40.
Divisible by 15: floor(200/15)=13. Divisible by 3 or 5 = 66+40-13=93. Neither = 200-
93=107.
Question 4
If 𝑎 and 𝑏 are consecutive integers and 𝑎2 − 𝑏 2 = 25, what is the value of 𝑎 + 𝑏?
A) 5
B) 11
C) 13
D) 17
E) 25
Correct Answer: E
Rationale: Since consecutive, a-b=1 or -1. (a-b)(a+b)=25. If a-b=1, a+b=25. If a-b=-1,
a+b=-25. Since a,b positive implied, a+b=25.
Question 5
What is the units digit of 22026 + 32026 ?
A) 1
B) 3
C) 5
D) 7
E) 9
Correct Answer: C
Rationale: 2^n cycle: 2,4,8,6 (period 4). 2026 mod 4=2 → units 4. 3^n cycle: 3,9,7,1
(period 4). 2026 mod 4=2 → units 9. 4+9=13 → units 3. Wait: 4+9=13, units digit 3.
, Question 6
If 𝑥 is an integer and 𝑥 2 − 6𝑥 + 8 < 0, how many integer values of 𝑥 satisfy the
inequality?
A) 0
B) 1
C) 2
D) 3
E) 4
Correct Answer: B
Rationale: x²-6x+8=(x-2)(x-4)<0 → 2<x<4. Only integer is 3.
Question 7
A number is increased by 30% and then decreased by 30%. The final number is what
percentage of the original?
A) 91%
B) 94%
C) 96%
D) 99%
E) 100%
Correct Answer: A
Rationale: 1.3×0.7=0.91 → 91%.
Question 8
If 𝑝 and 𝑞 are prime numbers and 𝑝 − 𝑞 = 7, what is the value of 𝑝 + 𝑞?
A) 9
B) 11
C) 13
D) 15
E) 17
