# IPMAT Question Paper 2020 | IPM Indore Quants

###### IPMAT Sample Paper | IPMAT Question Paper | Question 18

IPMAT 2020 Question Paper IPM Indore Quantitative Ability. Solve questions from IPMAT 2020 Question Paper from IPM Indore and check the solutions to get adequate practice. The best way to ace IPMAT is by solving IPMAT Question Paper. To solve other IPMAT Sample papers, go here: IPM Sample Paper

Question 18 : Consider the following statements:
(i) When 0 < x < 1, then $$frac{1}{1+x}$ < 1 - x + x2$ii) When 0 < x < 1, then $$frac{1}{1+x}$ > 1 - x + x2$iii) When -1 < x < 0, then $$frac{1}{1+x}$ < 1 - x + x2$iv) When -1 < x < 0, then $$frac{1}{1+x}$ > 1 - x + x2 Then the correct statements are 1.$i) and (ii)
2. (ii) and (iv)
3. (i) and (iv)
4. (ii) and (iii)

## Best CAT Coaching in Chennai

#### CAT Coaching in Chennai - CAT 2022Limited Seats Available - Register Now!

We are in essence comparing 2 inequalities $$frac{1}{1 + x}$ and 1 - x + x2. Take the inequality 1 - x + x2 > $\frac{1}{1 + x}$ $\frac{$1 + x$ (1 - x + x^{2}) - 1}{(1 + x)}) > 0
$$frac{1 + x^{3} - 1}{1 + x}$ > 0 $\frac{x^{3}}{1 + x}$ > 0 This inequality holds good when x is positive. Hence option 1 is correct which means option 2 is wrong. The inequality also holds good when both the numerator and the denominator are negative. Hence option 4 holds good and option 3 is wrong. Hence the correct answer is i and iv. ##### The answer is$i) and (iv)

Choice C is the correct answer.

##### Where is 2IIM located?

2IIM Online CAT Coaching
A Fermat Education Initiative,
58/16, Indira Gandhi Street,
Kaveri Rangan Nagar, Saligramam, Chennai 600 093

##### How to reach 2IIM?

Phone: (91) 44 4505 8484
Mobile: (91) 99626 48484 / 94459 38484
WhatsApp: WhatsApp Now
Email: info@2iim.com