Join

CAT WhatsApp Group

Question 24

The value of $$\frac{(1-d^3)}{(1-d)}$$ is

Solution

$$\frac{(1-d^3)}{(1-d)}$$ = $$1+d^2+d$$ (where $$d \neq 1$$)
Let's say $$f(d)=1+d^2+d$$
Now $$f(d)$$ will always be greater than 0 and have its minimum value at d = -0.5. The value is $$\frac{3}{4}$$.
For $$d<-1$$ ; $$f(d) >1$$
$$-1<d<0$$ ; $$\frac{3}{4} <f(d)<1$$
$$0<d<1$$ ; $$1<f(d)<3$$
$$d>1$$ ; $$f(d)>3$$

So, for d > 1, f(d) > 3. Option b) is the correct answer.

Get 3 Free CAT Mock Tests with Expert Video Solutions Get 3 Free CAT Mock Tests

Get AI Help

View More Questions From Quadratic Equations

Create a FREE account and get:

All Quant CAT complete Formulas and shortcuts PDF
41+ CAT previous year papers with video solutions PDF
5000+ Topic-wise Previous year CAT Solved Questions for Free

maruti sir image

CAT Quant Questions | CAT Quantitative Ability

CAT Percentages Questions CAT Coordinate Geometry Questions CAT Time, Speed and Distance Questions CAT Number Series Questions CAT Data Sufficiency Questions

CAT DILR Questions | LRDI Questions For CAT

CAT Routes And Networks Questions CAT Data Interpretation Basics Questions CAT Venn Diagrams Questions CAT Scheduling Questions CAT Data Interpretation Questions

CAT Verbal Ability Questions | VARC Questions For CAT

CAT Odd One Out Questions CAT Para Jumbles Questions CAT Vocabulary Questions CAT Grammar and Sentence Correction Questions CAT Critical Reasoning Questions

Related Formulas With Tests

Quadratic - Extreme Values

Book Free CAT Mentorship

Get personalized CAT strategy from a 99%iler

500+ students mentored

CAT mentor

Phone Number

Preferred Time

Join CAT 2026 course by 5-Time CAT 100%iler

Crack CAT 2026 & Other Exams with Cracku!

Enroll Now

cracku download image

Ask our AI anything

AI can make mistakes. Please verify important information.