## Nilanjan Dutta is teaching live on Unacademy Plus

Numbers, Factors, HCF & LCM (Prime Number check for Polynomials) By Nilanjan Dutta CAT 100%-iler CAT Preparation with 100 Percentilers

Brief Introduction About Myself BESU Shibpur, 2012 pass-out (CS) > Final Year (2011 - 12 season) appeared for CAT/XAT IIFT > CAT 99.43, XAT 99.35, lIFT 99.59 Converts - XLRI, IIM-Indore, IIFT XLRI 2014 pass-out CAT 100%-iler > Working as a Business Consultant with an IT firm in Kolkata QA-DI-LR & GD-Pl Mentor 2nd attempt at CAT-100%-ile in CAT 2016 > National Level Debater, Lead Actor, Sports Enthusiast

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Numbers, Factors, HCF & LCN TAKE HOME SIMCAT Answer the question independently. For how many positive integers n is n3-8n220n 13 a prime number? One Two Three None of these

Numbers, Factors, HCF & LCI TAKE HOME SIMCAT Answer the question independently. For how many positive integers n is n3-8n220n 13 a prime number? One Two Three None of these n3 8n2 20n 13 Put n = 1, comes out to be 0

Numbers, Factors, HCF & LCN TAKE HOME SIMCAT Answer the question independently. For how many positive integers n is n3-8n220n 13 a prime number? One Two Three None of these n3 8n2 20n 13 Put n 1, comes out to be 0 (n 1) is a factor n3 -8n2 20n 13 (n 1) (n2 - 7n +13)

Numbers, Factors, HCF & LCN TAKE HOME SIMCAT Answer the question independently. For how many positive integers n is n3-8n220n 13 a prime number? One Two Three None of these n3 8n2 +20n 13 Put n 1, comes out to be 0 (n 1) is a factor n3 8n2 20n 13 (n 1) (n2-7n +13) For it to be a prime number, one part must be Prime, other 1

Numbers, Factors, HCF & LCN TAKE HOME SIMCAT Answer the question independently. For how many positive integers n is n3-8n220n 13 a prime number? One Two Three None of these n3 - 8n2 +20n 13 Put n 1, comes out to be 0 (n - 1) is a factor n3 -8n2 20n 13 (n 1) (n2-7n +13) For it to be a prime number, one part must be Prime, other 1 (n 1) 1 when n 2 (n2-7n 13) 1 when n2 - 7n 12 0 or (n 3) (n 4)0; n 3, 4

Numbers, Factors, HCF & LCN TAKE HOME SIMCAT Answer the question independently. For how many positive integers n is n3-8n220n 13 a prime number? One Two Three None of these n3 - 8n2 +20n 13 Put n 1, comes out to be 0 (n - 1) is a factor n3 -8n2 20n 13 (n 1) (n2-7n +13) For it to be a prime number, one part must be Prime, other 1 (n 1) 1 when n 2 (n2-7n 13) 1 when n2 - 7n 12 0 or (n 3) (n 4)0; n 3, 4 Put n = 2, 3, 4

Numbers, Factors, HCF & LCN TAKE HOME SIMCAT Answer the question independently. For how many positive integers n is n3-8n220n 13 a prime number? One Two Three None of these n38n2 20n 13 Put n 1, comes out to be 0 (n - 1) is a factor n3-8n2 20n 13 (n 1) (n2 -7n +13) For it to be a prime number, one part must be Prime, other 1 (n 1) 1 when n 2 (n2-7n + 13) 1 when n2 -7n 12 0 or (n 3) (n 4)0; n 3,4 Put n = 2, 3, 4 Each case we get a Prime Number (Three Solutions)

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