Which of the following will not be true?
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
(c, d)
Explanation:
3 100 = 9 50 = (10 –1) 50
= 10 50 – 50 C 1 10 49 + …. – 50 C 49 10 1 + 50 C 50
⇒ a multiple of 100 + 1 ⇒ last two digits of 3 100 are 01
⇒ Choice is wrong
Again 3 50 = 9 25 = (10 –1) 25
= 25 C 0 10 25 – 25 C 1 10 24 + …..+ 25 C 24 10 – 25 C 25
= A multiple of 100 + 249
⇒ The remainder when 3 50 divided by 100 is 49
⇒ last two digits of 3 50 are 49
⇒ choice is false and becomes true.
from the same expansion, we get
3 50 = A multiple of 1000 + 249
⇒ remainder when 3 50 is divided by 1000 is 249
⇒ The last three digits are 249
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