Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Last three digit of the number 17 256 is -
Text Solution
Verified by ExpertsThe correct answer is:
C
17 256 = (17 2 ) 128 = (289) 128 = (290 – 1) 128
= 128 C 0 (290) 128 – 128 C 1 (290) 127 + 128 C 2 (290) 126 – ….. …..
– 128 C 125 (290) 3 + 128 C 126 (290) 2 – 128 C 127 (290) + 1
= 1000m + 128 C 2 (290) 2 – 128 C 1 (290) + 1, m ∈ I
= 1000 m + 
(290) 2 – 128 × 290 + 1
= 1000 m + 128 × 127 × 290 × 145 – 128 × 290 + 1
= 1000 m + 683527680 + 1
= 1000 (m + 683527) + 681
= last three digit is 681.
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems