# What is the unit digit of (2) ^29 * (5) ^29 * (7) ^29?

Q) What is the unit digit of (2) ^29 * (5) ^29 * (7) ^29?

A) 1
B) 5
c) 9
D) 0
E) 7

To answer questions that involve multiplying large numbers and finding the unit digit, the solution is to find patterns within numbers. In this case, each number is raised to the 29th power and multiplied with each number. All numbers that are raised to a certain power follows a pattern. Let us look at each of them.

(2)^29
(2)^1 = 2
(2)^2 = 4
(2)^3 = 8
(2)^4 = 16
(2)^5 = 32

The power of 2 has unit digit in the following pattern (2,4,8,6)

Unit Digit of (2)^29 = 2  -> First Statement

We know that Unit Digit (5)^29 = 5 -> Second Statement

Unit Digits For (7)^29 has the following pattern

(7)^1 = 7
(7)^2 = 9
(7)^3 = 3
(7)^4 = 1
(2)^5 = 7

The power of 7 has unit digit in the following pattern (7,9,3,1)

Unit Digit of (7)^29 = 7 -> Statement 3

Unit Digit obtained by multiplying Statements 1, 2 and 3, we get 2 x 5 x 7 is 0

Essential GMAT Reading Comprehension Guide After reading F1GMAT’s Essential GMAT Reading Comprehension Guide, you will:

1. Complete GMAT RC Questions in less than 1 minute and 50 seconds
3. Take Notes Effectively
4. Collect and Interpret Facts
5. Speed up Summary Creation
6. Remember Information
7. Question the Author
8. Learn to Answer GMAT Reading Comprehension Title question
9. Learn to Answer GMAT Reading Comprehension Main Idea Question

10.Learn to Answer GMAT Reading comprehension Inference question

11. Learn to Answer GMAT Reading Comprehension Detail Question

12. Learn to Answer GMAT Reading Comprehension Purpose Question
12. Learn to Answer GMAT organization of passage Question
13. Learn to identify the style/tone or attitude of the author

Download Essential GMAT Reading Comprehension Guide (2019 Edition) (100+ New Questions)

Mastering GMAT Critical Reasoning After you read F1GMAT’s Mastering GMAT Critical Reasoning Guide, you will learn:

How to overcome flawed thinking in GMAT Critical Reasoning?

How to spot Inconsistencies in Arguments

How to eliminate out of scope answer choices using Necessary and Sufficient Conditions

How to Paraphrase GMAT Critical Reasoning Question

How to Answer Assumption Question Type

How to Answer Conclusion Question Type

How to Answer Inference Question Type

How to Answer Strengthen Question Type

How to Answer Weaken Question Type

How to Answer bold-faced and Summary Question Types

How to Answer Parallel Reasoning Questions

How to Answer the Fill in the Blanks Question

Download Mastering GMAT Critical Reasoning (2019 Edition) (25+ New Questions)

Get F1GMAT's Newsletters (Best in the Industry)
Included in the Newsletter:

• Ranking Analysis
• Post-MBA Salary Trends
• Post-MBA Job Function & Industry Analysis
• Post-MBA City Review
• MBA Application Essay Tips
• School Specific Essay Tips
• GMAT Preparation Tips
• MBA Admission Interview Tips
• School Specific Interview Tips
• Funding Guidance and
• Special Consultation Service (only for Subscribers)

Subscribe to F1GMAT's Newsletter