Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Find the value of 99 50 – 99.98 50 + 
(97) 50 –…...+ 199.
Text Solution
Verified by ExpertsThe correct answer is:
0100
Ans. 0100
Sol. 99 50 – 99.98 50 + 
(97) 50 –…..+ 99 + 100
= 99 C 0 99 50 – 99 C 1 (98) 50 + 99 C 2 (97) 50 – 99 C 3 (96) 50 +….+ 99 C 98 (01) 50 – 99 C 99 (99 – 99) 50 + 100
[Put 98 = (99 – 1), 97 = (99 – 2), 96 = (99 – 3)]
= 99 50 ( 99 C 0 – 99 C 1 + 99 C 2 – 99 C 3 +…– 99 C 99 )
+ 50 C 1 .99 49 ( 99 C 1 – 2. 99 C 2 + 3 99 C 3 –……) +…+ 100
= 99 50 (0) + 50 C 1 99 49 (0) + 0……….+ 100
= 100
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