Home
Class 11
MATHS
If 10^n+3xx4^(n+2)+lambda is divisible b...

If `10^n+3xx4^(n+2)+lambda` is divisible by 9 or all `n N` , then the least positive integral value of `lambda` is `5` b. `3` c. `7` d. `1`

A

5

B

3

C

7

D

1

Text Solution

Verified by Experts

The correct Answer is:
A
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • PRINCIPAL OF MATHEMATICAL INDUCTION

    CBSE COMPLEMENTARY MATERIAL|Exercise Short Answer Type Questions|24 Videos
  • PRINCIPAL OF MATHEMATICAL INDUCTION

    CBSE COMPLEMENTARY MATERIAL|Exercise Short Answer Type Questions|24 Videos
  • PRACTICE PAPER-II

    CBSE COMPLEMENTARY MATERIAL|Exercise Section-D (Long Answer Type-I)|7 Videos
  • PROBABILITY

    CBSE COMPLEMENTARY MATERIAL|Exercise LONG ANSWER TYPE QUESTIONS|23 Videos

Similar Questions

Explore conceptually related problems

If 10^(n)+3xx4^(n+2)+lambda is divisible by 9 or all nN, then the least positive integral value of lambda is 5 b.3 c.7 d.

If 10^n + 3.4^n + K is divisible by 9 for all n in N then the least value of K is

Knowledge Check

  • If x^n-1 is divisible by x-a, then the least positive integral value of 'a' is

    A
    1
    B
    3
    C
    2
    D
    4
  • If 3^(2n+2)-8n-k is divisible by 64 for all n in N , then the least integral value of k is

    A
    -9
    B
    1
    C
    9
    D
    6
  • Similar Questions

    Explore conceptually related problems

    If x^(n)-1 is divisible by x-lambda, then the least prositive integral value of lambda is 1 b.3 c.4 d.2

    1000 ! Is divisible by 10^n . Find the largest positive integral value of n .

    If P(n0:49^(n)+16^(n)+lambda is divisible by 64 for nN is true,then the least negative integral value of lambda is -3 b.-2 c.-1 d.-4

    10^n+3(4^(n+2))+5 is divisible by (n in N)

    3^(2n)+7 is divisible by 8 for all n varepsilon N

    10^(n)+3(4)^(n+2)+5,n in N is divisible by 9