Home
Class 12
MATHS
The remainder of (2021)^(2022)+(2022)^(2...

The remainder of `(2021)^(2022)+(2022)^(2021)` when divided by 7 is

A

0

B

1

C

2

D

6

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematic section B|10 Videos

  • JEE MAIN 2023

    JEE MAINS PREVIOUS YEAR|Exercise Question|435 Videos

Similar Questions

Explore conceptually related problems

Remainder when is divided by 7 is:

Let r be the remainder when 2021^(2020) is divided by 2020^(2) . Then r lies between

When x is divided by 4 leaves remainder 3 then (2022+x)^2022 is divisided by 8 , remainder is

The remainder when the determinant |[2014^(2014),2015^(2015),2016^(2016)],[(2017^(2017),2018^(2018),2019^(2019)],[2020^(2020),2021^(2021),2022^(2022)]| is divided by 5 is-

If lambda is the remainder when 2^("2021") is divided by 17, then the value of lambda must be equal to

There is a remainder of 4 when a number is divided by 7. What will be the remainder if the square of the same number is divided by 7?

JEE MAINS PREVIOUS YEAR-JEE MAIN 2022-Question
  1. Let A=[(1,2),(-2,-5)] , alpha & beta belongs to real numbers such that...

    Text Solution

    |

  2. (p wedge r) hArr (p wedge ~q) which is equivalent to ~p. Then r will b...

    Text Solution

    |

  3. The remainder of (2021)^(2022)+(2022)^(2021) when divided by 7 is

    Text Solution

    |

  4. Let R1 and R2 be two relation defined on R by aR1 b:ab ge 0 and aR2b h...

    Text Solution

    |

  5. If x^2/a^2+y^2/b^2=1 satisfies (4sqrt(2/5),3) and e=1/4 then, a^2+b^2 ...

    Text Solution

    |

  6. Cos ((2pi)/7) + cos ((4pi)/7) + cos ((6pi)/7) =

    Text Solution

    |

  7. If lim(x to 7) (18-[1-x])/([x]-3a) exist, then a is equal to

    Text Solution

    |

  8. abs((14,28,-14),(-14,14,28),(28,-14,14))=abs(adj(adj(A))), then abs(A)...

    Text Solution

    |

  9. The number of points where tangents are vertical or horizontal to curv...

    Text Solution

    |

  10. If two curves y=y1(x) and y=y2(x) satisfies differential equation dy/d...

    Text Solution

    |

  11. Number of all 3xx3 matrices formed by {1,-1,0} such that "Trace"(A A^T...

    Text Solution

    |

  12. If the coefficient of x^10 in (sqrtx/5^(1/4)+sqrt5/(x^(1/3)))^100 is 5...

    Text Solution

    |

  13. Let S={z in C:z^2+barz=0}, then sum(zinS) (Re(z)+Im(z)) is equal to

    Text Solution

    |

  14. The mean and variance of 10 observation are 15 & 15 respectively . If ...

    Text Solution

    |

  15. Let f(x)={(int0^x (5-abs(t-3))dt,x gt 4) ,(x^2+bx,xle4):} and f(x) is ...

    Text Solution

    |

  16. A person standing at a point on ground can see a point on a tower h me...

    Text Solution

    |

  17. Value of (2^3-1^3)/(1xx7)+(4^3-3^3+2^3-1^3)/(2xx11)+(6^3-5^3+4^3-3^3+2...

    Text Solution

    |

  18. int0^2(abs(2x^2-3x)+[x-1/2])dx , where [.]=GIF , is equal to

    Text Solution

    |

  19. If f(x)=sin^-1[2x^2-3]+log2(log(1/2)(x^2-5x+5)) where [.] is GIF then ...

    Text Solution

    |

  20. If T is a common tangent to the curve C1:x^2/4+y^2/9=1 , C2:x^2/42-y^2...

    Text Solution

    |