# IIFT 2018 Question Paper | Quants

###### IIFT Previous Year Paper | IIFT Quants Questions | Question 13

The best way to boost your IIFT prep is to practice the actual IIFT Question Papers. 2IIM offers you exactly that, in a student friendly format to take value from this. In the 2018 IIFT, Quants was a mixed bag of questions of varying difficulty, with some routine questions and the others were very demanding. Some beautiful questions that laid emphasis on Learning ideas from basics and being able to comprehend more than remembering gazillion formulae and shortcuts.

Question 13 : A metallic solid is made up of a solid cylindrical base with a solid cone on its top. The radius of the base of the cone is 5 cm. and the ratio of the height of the cylinder and the cone is 3:2. A cylindrical hole is drilled through the solid with height equal to 2/3rd of the height of solid. What should be the radius (in cm) of the hole so that the volume of the hole is 1/3rd of the volume of the metallic solid after drilling?

1. $$sqrt{\frac{45}{8}}$ 2. $\sqrt{\frac{35}{8}}$ 3. $\sqrt{\frac{65}{8}}$ 4. $\sqrt{\frac{55}{8}}$ ## Best CAT Online Coaching Try upto 40 hours for free Learn from the best! #### 2IIM : Best Online CAT Coaching. ## Best CAT Coaching in Chennai #### CAT Coaching in Chennai - CAT 2022Limited Seats Available - Register Now! ### Explanatory Answer Let the height of the cylinder be 3h and the height of the cone be 2h Volume of the total solid = Π x 52 x 3h +$1/3) x Π x 52 x 2h
= 75Πh + (50/3)Πh = (275/3)Πh
Height of drilling = (2/3) x 5h = 10h/3
Volume of hole = Π x r2 x 10h/3
$$frac{\text { Volume of hole }}{\text { Volume of solid-volume of hole }}$ = $\frac{1}{3}$ Solving we get r = $\sqrt{\frac{55}{8}}$ ##### The answer is '$\sqrt{\frac{55}{8}}$' Choice D is the correct answer. ###### Best CAT Online Coaching Try upto 40 hours for free Learn from the best! ###### Prepare for CAT 2024 with 2IIM's Daily Preparation Schedule ###### Know all about CAT Exam Syllabus and what to expect in CAT ###### Already have an Account? ###### CAT Coaching in ChennaiCAT 2024 Classroom Batches Starting Now! @Gopalapuram and @Anna nagar ###### Best CAT Coaching in Chennai Attend a Demo Class ###### Best Indore IPM & Rohtak IPM CoachingSignup and sample 9 full classes for free. Register now! ## CAT Questions | CAT Quantitative Aptitude ## CAT Questions | Verbal Ability for CAT ##### 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? Mobile:$91) 99626 48484 / 94459 38484
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