# IPMAT Question Paper 2020 | IPM Indore Quants

###### IPMAT Sample Paper | IPMAT Question Paper | Question 11

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Question 11 : The probability that a randomly chosen factor of 1019 is a multiple of 1015 is

1. $$frac{1}{25}$ 2. $\frac{1}{12}$ 3. $\frac{1}{20}$ 4. $\frac{1}{16}$ ## Best CAT Online Coaching Try upto 40 hours for free Learn from the best! #### 2IIM : Best Online CAT Coaching. ### Video Explanation ## Best CAT Coaching in Chennai #### CAT Coaching in Chennai - CAT 2022Limited Seats Available - Register Now! ### Explanatory Answer 1019 = 219 × 519 This is of the form 2x × 5y x can take values from 0 to 19 y can take values from 0 to 19 x can take 20 vales and y can also take 20 values Chosen number has 20 × 20 = 400 factors Among that we need a number which is a multiple of 1015 = 215 × 515 This is of the form 2a × 5b We need a number that is not only a multiple of 2a × 5bbut also a factor of 219 × 519 Looking for numbers which are in form 2p × 5q Since 2p × 5q is a factor of 219 × 519, p and q should be less than or equal to 19 Since 2p × 5q is a multiple of 215 × 515, p and q should be more than or equal to 15 p and q can take any of the 5 values 15, 16, 17, 18, 19. So, the probability is $\frac{5 × 5}{20 × 20}$ = $\frac{1}{16}$ The question is " The probability that a randomly chosen factor of 1019 is a multiple of 1015 is " ##### Hence, the answer is $\frac{1}{16}$ Choice C is the correct answer. ###### Best Indore IPM & Rohtak IPM CoachingSignup and sample 9 full classes for free. Register now! ###### Already have an Account? ##### 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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