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.