GMAT Exam  >  GMAT Questions  >  What are the last two digits, in order, of678... Start Learning for Free
What are the last two digits, in order, of 6789 ?
Possible Answers:
  • a)
    36
  • b)
    16
  • c)
    56
  • d)
    96
  • e)
    76
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
What are the last two digits, in order, of6789?Possible Answers:a)36b)...
Inspect the first few powers of 6; a pattern emerges.
61=6
62=36
63=216
64=1,296
65=7,776
66=46,656
67=279,936
68=1,679,616
69=10,077,696
610=60,466,176
As you can see, the last two digits repeat in a cycle of 5. 
789 divided by 5 yields a remainder of 4; the pattern that becomes apparent in the above list is that if the exponent divided by 5 yields a remainder of 4, then the power ends in the diigts 96.
View all questions of this test
Most Upvoted Answer
What are the last two digits, in order, of6789?Possible Answers:a)36b)...
To find the last two digits of a large number, we need to consider the remainder when the number is divided by 100.

In this case, we are asked to find the last two digits of 6789.

Remainder when divided by 100:
To find the remainder when 6789 is divided by 100, we can use the concept of modular arithmetic. We can rewrite 6789 as (6700 + 89) since 6700 is a multiple of 100.

The remainder when 6700 is divided by 100 is 0, so we only need to consider the remainder when 89 is divided by 100.

Finding the remainder when 89 is divided by 100:
To find the remainder when 89 is divided by 100, we can divide 89 by 100 and observe the remainder.

89 ÷ 100 = 0 remainder 89

Therefore, the remainder when 89 is divided by 100 is 89.

Determining the last two digits:
Since the remainder when 89 is divided by 100 is 89, the last two digits of 6789 are also 89.

Therefore, the correct answer is option 'D' (96).
Explore Courses for GMAT exam
What are the last two digits, in order, of6789?Possible Answers:a)36b)16c)56d)96e)76Correct answer is option 'D'. Can you explain this answer?
Question Description
What are the last two digits, in order, of6789?Possible Answers:a)36b)16c)56d)96e)76Correct answer is option 'D'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about What are the last two digits, in order, of6789?Possible Answers:a)36b)16c)56d)96e)76Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What are the last two digits, in order, of6789?Possible Answers:a)36b)16c)56d)96e)76Correct answer is option 'D'. Can you explain this answer?.
Solutions for What are the last two digits, in order, of6789?Possible Answers:a)36b)16c)56d)96e)76Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT. Download more important topics, notes, lectures and mock test series for GMAT Exam by signing up for free.
Here you can find the meaning of What are the last two digits, in order, of6789?Possible Answers:a)36b)16c)56d)96e)76Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of What are the last two digits, in order, of6789?Possible Answers:a)36b)16c)56d)96e)76Correct answer is option 'D'. Can you explain this answer?, a detailed solution for What are the last two digits, in order, of6789?Possible Answers:a)36b)16c)56d)96e)76Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of What are the last two digits, in order, of6789?Possible Answers:a)36b)16c)56d)96e)76Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice What are the last two digits, in order, of6789?Possible Answers:a)36b)16c)56d)96e)76Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice GMAT tests.
Explore Courses for GMAT exam
Signup to solve all Doubts
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev