IIM-B (BBA-DBE) 2024 #1 (QA) PYQs

The smallest possible number of students in a class if the girls in the class are less than 50% but more than 48% is

A pair of consecutive odd positive integers, both of which are smaller than 19, have a sum that is more than 22. How many such pairs will be there, if we allow a number to be in more than one pair?

Consider the following statements:
(i) When $(0 < x < 1)$, then $(\frac{1}{1+x} < 1 - x + x^2)$
(ii) When $(0 < x < 1)$, then $(\frac{1}{1+x} > 1 - x + x^2)$
(iii) When $(-1 < x < 0)$, then $(\frac{1}{1+x} < 1 - x + x^2)$
(iv) When $(-1 < x < 0)$, then $(\frac{1}{1+x} > 1 - x + x^2)$
Then the correct statements are: