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Interesting Problems in Number Theory
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Interesting Problems in Number Theory

Nilanjan Dutta is teaching live on Unacademy Plus

Nilanjan Dutta
Hi, I am a CAT 100 Percentiler with 100 in DI-LR & 99.9 in Quants. Subscribe to CAT Live Classes with 'NilanjanDutta' promo code.

Unacademy user
Mam will these topics be included in your plus curse as well?
yes
Naman Goyal
10 months ago
Ok thank you mam.. :)
so much of guess work and doing from example.....it will be so tough for me to attempt in actual exam ,😅
not able to understand anything 😔
why fake accent sir? Be natural.
  1. Numbers, Factors, HCF & LCM (Interesting Problems in Number Theory) By Nilanjan Dutta CAT 100%-iler CAT Preparation with 100 Percentilers


  2. 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


  3. Numbers, Factors, HCF & LCN IMS SIMCAT 2018 A three digit odd number 'abc' has digits a, b and c (all non-zero) in the hundred's, ten's and unit's places respectively. The first and the third digits (i.e. a and c) are consecutive integers. Sum of the squares of the second and the third digits is a perfect square. Similarly one more than the number formed by the first two digits (i.e. the two digit number 'ab') is also a perfect square. The number 'abc is: IS: A prime number Divisible by 7 Fifth power of an integer Cube of an integer


  4. Numbers, Factors, HCF & LCN IMS SIMCAT 2018 A three digit odd number 'abc' has digits a, b and c (all non-zero) in the hundred's, ten's and unit's places respectively. The first and the third digits (i.e. a and c) are consecutive integers. Sum of the squares of the second and the third digits is a perfect square. Similarly one more than the number formed by the first two digits (i.e. the two digit number 'ab') is also a perfect square. The number 'abc' is: A prime number Divisible by 7 Fifth power of an integer Cube of an integer sum of the squares of"b' & c'-> Perfect Square


  5. Numbers, Factors, HCF & LCN IMS SIMCAT 201a A three digit odd number 'abc' has digits a, b and c (all non-zero) in the hundred's, ten's and unit's places respectively. The first and the third digits (i.e. a and c) are consecutive integers. Sum of the squares of the second and the third digits is a perfect square. Similarly one more than the number formed by the first two digits (i.e. the two digit number 'ab') is also a perfect square. The number 'abc' is: A prime number Divisible by 7 Fifth power of an integer Cube of an integer Sum of the squares of 'b' & 'c' -> Perfect Square (3, 4, 5) or (6, 8, 10) Pythagorean Triplets


  6. Numbers, Factors, HCF & LCN IMS SIMCAT 2018 A three digit odd number 'abc' has digits a, b and c (all non-zero) in the hundred's, ten's and unit's places respectively. The first and the third digits (i.e. a and c) are consecutive integers. Sum of the squares of the second and the third digits is a perfect square. Similarly one more than the number formed by the first two digits (i.e. the two digit number 'ab') is also a perfect square. The number 'abc' is: A prime number Divisible by 7 Fifth power of an integer Cube of an integer Sum of the squares of 'b' & 'c' -> Perfect Square (3, 4, 5) or (6, 8, 10) 'c' is odd (three digit odd number)


  7. Numbers, Factors, HCF & LCN IMS SIMCAT 2018 A three digit odd number 'abc' has digits a, b and c (all non-zero) in the hundred's, ten's and unit's places respectively. The first and the third digits (i.e. a and c) are consecutive integers. Sum of the squares of the second and the third digits is a perfect square. Similarly one more than the number formed by the first two digits (i.e. the two digit number 'ab') is also a perfect square. The number 'abc' is: A prime number Divisible by 7 Fifth power of an integer Cube of an integer Sum of the squares of 'b' & 'c' -> Perfect Square "c' is odd (three digit odd number) c 3, b 4


  8. Numbers, Factors, HCF & LCN IMS SIMCAT 2018 A three digit odd number 'abc' has digits a, b and c (all non-zero) in the hundred's, ten's and unit's places respectively. The first and the third digits (i.e. a and c) are consecutive integers. Sum of the squares of the second and the third digits is a perfect square. Similarly one more than the number formed by the first two digits (i.e. the two digit number 'ab') is also a perfect square. The number 'abc' is: A prime number Divisible by 7 Fifth power of an integer Cube of an integer Sum of the squares of 'b' & 'c -> Perfect Square "c' is odd (three digit odd number) c 3, b 4 'a' & 'c' are consecutive integers


  9. Numbers, Factors, HCF & LCN IMS SIMCAT 2018 A three digit odd number 'abc' has digits a, b and c (all non-zero) in the hundred's, ten's and unit's places respectively. The first and the third digits (i.e. a and c) are consecutive integers. Sum of the squares of the second and the third digits is a perfect square. Similarly one more than the number formed by the first two digits (i.e. the two digit number 'ab') is also a perfect square. The number 'abc' is: A prime number Divisible by 7 Fifth power of an integer Cube of an integer Sum of the squares of 'b' & 'c' ->Perfect Square 'c' is odd (three digit odd number) c 3, b 4 'a' & 'c' are consecutive integers a2/4


  10. Numbers, Factors, HCF & LCN IMS SIMCAT 2018 A three digit odd number 'abc' has digits a, b and c (all non-zero) in the hundred's, ten's and unit's places respectively. The first and the third digits (i.e. a and c) are consecutive integers. Sum of the squares of the second and the third digits is a perfect square. Similarly one more than the number formed by the first two digits (i.e. the two digit number 'ab') is also a perfect square. The number 'abc' is: A prime number Divisible by 7 Fifth power of an integer Cube of an integer Sum of the squares of 'b' & 'c' -> Perfect Square 'c' is odd (three digit odd number) c 3, b 4 'a & 'c' are consecutive integers a 2/4 'ab' +1-> Perfect Square


  11. Numbers, Factors, HCF & LCN IMS SIMCAT 2018 A three digit odd number 'abc' has digits a, b and c (all non-zero) in the hundred's, ten's and unit's places respectively. The first and the third digits (i.e. a and c) are consecutive integers. Sum of the squares of the second and the third digits is a perfect square. Similarly one more than the number formed by the first two digits (i.e. the two digit number 'ab') is also a perfect square. The number 'abc' is: A prime number Divisible by 7 Fifth power of an integer Cube of an integer sum of the squares of"b, & c'-> Perfect Square 'c' is odd (three digit odd number) c 3, b 4 'a' & 'c' are consecutive integers a 2/4 ab'+ 1 -> Perfect Square 'ab' 24 a 2, b 4, c 3


  12. Numbers, Factors, HCF & LCN IMS SIMCAT 2018 A three digit odd number 'abc' has digits a, b and c (all non-zero) in the hundred's, ten's and unit's places respectively. The first and the third digits (i.e. a and c) are consecutive integers. Sum of the squares of the second and the third digits is a perfect square. Similarly one more than the number formed by the first two digits (i.e. the two digit number 'ab') is also a perfect square. The number 'abc' is: sum of the squares of"b, & C-> Perfect Square c' is odd (three digit odd number) A prime number Divisible by 7 Fifth power of an integer Cube of an integer 'a' & 'c' are consecutive integers a 2/4 'ab + 1 -> Perfect Square 'ab' 24 a 2, b 4, c 3 'abc 243 (35)


  13. Thank You!!!! Happy Learning)