GMAT Focus Edition — Advanced Practice Question Bank Comprehensive 150-Question Set for Business School Admissions a well detailed one 2025 / 2026 written and graded A+ upgraded

GMAT Focus Edition — Advanced
Practice Question Bank Comprehensive
150-Question Set for Business School
Admissions a well detailed one 2025 /
2026 written and graded A+ upgraded

Exam Overview: The GMAT Focus Edition consists of three 45-minute sections totaling 64
questions: Quantitative Reasoning (21 questions), Verbal Reasoning (23 questions), and Data
Insights (20 questions). Section scores range from 60–90, with a total score range of 205–
805. The exam tests problem-solving, critical thinking, and data literacy through arithmetic,
algebra, reading comprehension, critical reasoning, and five Data Insights question types.



SECTION I: QUANTITATIVE REASONING (Questions 1–50)

Format: 21 multiple-choice Problem Solving questions, 45 minutes. No calculator permitted.
Tests arithmetic and algebra fundamentals only.



Topic: Number Properties & Arithmetic

Question 1
If *p* and *q* are distinct prime numbers such that *p* × *q* = 221, and *p* > *q*, what is the
value of *p* − *q*?

A) 4
B) 6
C) 8
D) 10
E) 12

,Correct Answer: A) 4
Rationale: Factor 221: 221 = 13 × 17 (both prime). Since *p* > *q*, *p* = 17, *q* =
13. *p* − *q* = 4.



Question 2
What is the greatest integer *k* such that 3^(*k*) divides 100! ?

A) 33
B) 44
C) 47
D) 48
E) 49

Correct Answer: D) 48
Rationale: The exponent of a prime *p* in *n*! is ⌊*n*/*p*⌋ + ⌊*n*/*p*²⌋ + ⌊*n*/*p*³⌋ + ... For
3 in 100!: ⌊100/3⌋ + ⌊100/9⌋ + ⌊100/27⌋ + ⌊100/81⌋ = 33 + 11 + 3 + 1 = 48.



Question 3
If *x* is an integer and 2^(*x*) × 5^(*x*) = 10,000, what is the value of *x*?

A) 2
B) 3
C) 4
D) 5
E) 6

Correct Answer: C) 4
Rationale: 2^(*x*) × 5^(*x*) = (2 × 5)^(*x*) = 10^(*x*). Since 10,000 = 10^4, *x* = 4.



Question 4
The sum of three consecutive odd integers is 75. What is the greatest of these integers?

A) 23
B) 25
C) 27
D) 29
E) 31

,Correct Answer: C) 27
Rationale: Let the integers be *n*, *n* + 2, *n* + 4. Sum = 3*n* + 6 = 75 → 3*n* = 69 → *n* =
23. Greatest = 23 + 4 = 27.



Question 5
If *a* and *b* are positive integers such that *a*/*b* = 0.625, what is the least possible value
of *a* + *b*?

A) 8
B) 10
C) 13
D) 16
E) 21

Correct Answer: C) 13
Rationale: 0.625 = 5/8 in lowest terms. Thus *a* = 5*k*, *b* = 8*k*. Least positive integers
occur at *k* = 1, giving *a* + *b* = 13.



Question 6
What is the units digit of 7^85?

A) 1
B) 3
C) 5
D) 7
E) 9

Correct Answer: D) 7
Rationale: The units digits of powers of 7 cycle: 7, 9, 3, 1 (period 4). 85 mod 4 = 1, so units digit
is 7.



Question 7
If *n* is a positive integer, which of the following must be divisible by 3?

A) *n*(*n* + 1)
B) *n*(*n* + 2)
C) *n*(*n* + 1)(*n* + 2)

, D) *n*(*n* + 1)(*n* + 3)
E) *n*(*n* + 2)(*n* + 4)

Correct Answer: C) *n*(*n* + 1)(*n* + 2)
Rationale: Among any three consecutive integers, exactly one is divisible by 3. Therefore, the
product of any three consecutive integers is always divisible by 3.



Question 8
How many positive divisors does 360 have?

A) 12
B) 18
C) 24
D) 30
E) 36

Correct Answer: C) 24
Rationale: 360 = 2^3 × 3^2 × 5^1. Number of divisors = (3 + 1)(2 + 1)(1 + 1) = 4 × 3 × 2 = 24.



Question 9
If *x* is an integer and |*x* − 5| < 3, how many integer values satisfy this inequality?

A) 3
B) 5
C) 7
D) 9
E) Infinite

Correct Answer: B) 5
Rationale: |*x* − 5| < 3 → −3 < *x* − 5 < 3 → 2 < *x* < 8. Integers: 3, 4, 5, 6, 7 → 5 values.



Question 10
What is the remainder when 2^100 is divided by 7?

A) 0
B) 1
C) 2