# CAT 2017 Question Paper | Quants Slot 2

###### CAT Previous Year Paper | CAT Averages Questions | Question 6

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Question 6 : The average height of 22 toddlers increases by 2 inches when two of them leave this group. If the average height of these two toddlers is one-third the average height of the original 22, then the average height, in inches, of the remaining 20 toddlers is

1. 30
2. 28
3. 32
4. 26

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##### Method of solving this CAT Question from Averages

From the given data let us assume the average height of 22 toddlers to be a
If two of them leaves this group then average height of 20 toddlers increases by 2 so a + 2
If the average height of two toddlers who leaves the group is one third the average height of the original 22
No.of toddlers × average = Total
Hence we can write the equation in such a way that,
22a = 20(a + 2) + $$frac{2a}{3}$ 2a – $\frac{2a}{3}$ = 40 ⟹ $\frac{4a}{3}$ = 40 a = 30 We need to find the average of remaining 20 toddlers. ⟹ a + 2 = 30 + 2 = 32 The question is "The average height of 22 toddlers increases by 2 inches when two of them leave this group. If the average height of these two toddlers is one-third the average height of the original 22, then the average height, in inches, of the remaining 20 toddlers is" ##### Hence, the answer is 32 Choice C is the correct answer ###### 🎉 New Year offer! Fabulous 4,000 off on CAT Online Courses. Valid until 15th April ###### Already have an Account? ###### CAT Coaching in ChennaiCAT 2021Enroll at 49,000/- 44,000/- Online Classroom Batches Starting Now! ###### Best CAT Coaching in Chennai Introductory offer of 5000/- Attend a Demo Class ###### Best Indore IPM & Rohtak IPM CoachingSignup and sample 9 full classes for free. Register now! ##### 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
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