Functions Question 576
Question: For a real number $ x,\
[x] $ denotes the integral part of x. The value of $ [ \frac{1}{2} ]+[ \frac{1}{2}+\frac{1}{100} ]+[ \frac{1}{2}+\frac{2}{100} ]+….+[ \frac{1}{2}+\frac{99}{100} ] $ is [IIT Screening 1994]
Options:
A) 49
B) 50
C) 48
D) 51
Show Answer
Answer:
Correct Answer: B
Solution:
Q [x] denotes the integral part of x. Hence, after term $ [ \frac{1}{2}+\frac{50}{100} ],, $ each term will be one. Hence the sum of given series will be 50.