Home
Class 12
MATHS
Among the statements: (S1) : 2023^(2022...

Among the statements:
(S1) : `2023^(2022) - 1999^(2022)` is divisible by 8
(S2) : `13(13)^n-11n-13` is divisible by 144 for infinitely many `n in NN`

A

both (S1) and (S2) are incorrect

B

only (S1) is correct

C

both (S1) and (S2) are correct

D

only (S2) is correct

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2022

    JEE MAINS PREVIOUS YEAR|Exercise Question|454 Videos
  • JEE MAIN 2024

    JEE MAINS PREVIOUS YEAR|Exercise Questions|18 Videos

Similar Questions

Explore conceptually related problems

n^(2)-1 is divisible by 8 , if n is

9^(n)-8^(n)-1 is divisible by 64 is

11^(n+2)+12^(2n+1) is divisible by 133

The number 10^(N) - 1 is divisible by 11 for :

((n+2)!)/((n-1)!) is divisible by

The number 10^N-1 is divisible by 11 for :

Statement 1:3^(2n+2)-8n-9 is divisible by 64,AA n in N. Statement 2:(1+x)^(n)-nx-1 is divisible by x^(2),AA n in N

JEE MAINS PREVIOUS YEAR-JEE MAIN 2023-Question
  1. Let a ne b be two non-zero real number. Then the number of elements in...

    Text Solution

    |

  2. Let the vectors veca , vecb , vec c represent three coterminous edges ...

    Text Solution

    |

  3. Among the statements: (S1) : 2023^(2022) - 1999^(2022) is divisible b...

    Text Solution

    |

  4. If the coefficients of x^7 in (ax^2 + 1/(2bx))^11 and x^(-7) in (ax-1/...

    Text Solution

    |

  5. lim(n to oo) {(2^(1/2)-2^(1/3))(2^(1/2)-2^(1/5)). . . (2^(1/2)-2^(1/(2...

    Text Solution

    |

  6. A plane P contains the line of intersection of the plane vecr.(hati+ha...

    Text Solution

    |

  7. In a group of 100 persons 75 speak English and 40 speak Hindi.Each per...

    Text Solution

    |

  8. If the tangents at the points P and Q on the circle x^2+y^2-2x+y=5 mee...

    Text Solution

    |

  9. Let f(x) be a function satisfying f(x)+f(pi-x)=pi^2 , forall x in RR ....

    Text Solution

    |

  10. Among the statements: (S1) : (p implies q) vv ((~p) wedge q)) is a ta...

    Text Solution

    |

  11. All the letters of the word PUBLIC are written in all possible orders ...

    Text Solution

    |

  12. If gcd (m,n)=1 and 1^2-2^2+3^2-4^2+. . . +(2021)^2-(2022)^2+(2023)^2=1...

    Text Solution

    |

  13. The number of points, where the curve y=x^5-20x^3+50x+2 crosses the x-...

    Text Solution

    |

  14. Let f(x)=x/(1+x^n)^(1/n), x in RR-{-1}, n in NN , n gt 2 If f^n(x)=(fo...

    Text Solution

    |

  15. If the mean and variance of the frequency distribution are 9 and ...

    Text Solution

    |

  16. The value of tan 9^@-tan 27^@-tan 63^@+tan 81^@ is

    Text Solution

    |

  17. If the lines (x-1)/2=(2-y)/-3=(z-3)/alpha and (x-4)/5=(y-1)/2=z/beta i...

    Text Solution

    |

  18. If (20)^19+2(21)(20)^18+3(21)^2(20)^17+. . .+20(21)^19=k(20)^19, then ...

    Text Solution

    |

  19. The number of 4-letter words, with or without meaning , each consistin...

    Text Solution

    |

  20. Let the eccentricity of an ellipse x^2/a^2+y^2/b^2=1 is reciprocal to ...

    Text Solution

    |