>
Exams
>
Logical Reasoning
>
Number Systems
>
how many 4 digit positive integers divisible by 3
Question:
How many 4-digit positive integers divisible by 3 can be formed using only the digits {1, 3, 4, 6, 7}, such that no digit appears more than once in a number?
GATE AR - 2024
GATE AR
Updated On:
Oct 19, 2024
24
48
72
12
Hide Solution
Verified By Collegedunia
The Correct Option is
B
Solution and Explanation
The correct answer is (B): 48
Download Solution in PDF
Was this answer helpful?
0
0
Top Questions on Number Systems
Prove that $\sqrt{3}$ is an irrational number.
CBSE Class X - 2024
Mathematics
Number Systems
View Solution
Consider a 4-digit number of the form abbb, i.e., the first digit is a (a > 0) and the last three digits are all b.
Which of the following conditions is both NECESSARY and SUFFICIENT to ensure that the 4- digit number is divisible by a?
XAT - 2024
Quantitative Ability and Data Interpretation
Number Systems
View Solution
Prove that $\sqrt{3}$ is an irrational number.
CBSE Class X - 2024
Mathematics
Number Systems
View Solution
If abc > 0, such that a,b,c are integers then which of the following must be true?
CMAT - 2024
Quantitative Ability and Data Interpretation
Number Systems
View Solution
A king has distributed all his rare jewels in three boxes. The first box contains 1/3 of the rare jewels, while the second box contains k/5 of the rare jewels, for some positive integer value of k. The third box contains 66 rare jewels.
How many rare jewels does the king have?
XAT - 2024
Quantitative Ability and Data Interpretation
Number Systems
View Solution
View More Questions
Questions Asked in GATE AR exam
Evaluate the following limit :
\(\lim\limits_{x\rightarrow0}\frac{\text{ln}((x^2+1)\cos x)}{x^2}\)
= ________.
GATE AR - 2024
Limits
View Solution
Two fair coins are tossed independently. X is a random variable that takes a value of 1 if both tosses are heads and 0 otherwise. Y is a random variable that takes a value of 1 if at least one of the tosses is heads and 0 otherwise.
The value of the covariance of X and Y is _________ (rounded off to three decimal places).
GATE AR - 2024
Random variables
View Solution
For the beam shown below, ignoring the self-weight, the maximum hogging moment (in kN·m) generated for the loads indicated is _______ (rounded off to one decimal place).
GATE AR - 2024
High Rise and Long Span structures, gravity and lateral load resisting systems
View Solution
Consider the following tree traversals on a full binary tree :
(i) Preorder
(ii) Inorder
(iii) Postorder
Which of the following traversal options is/are sufficient to uniquely reconstruct the full binary tree ?
GATE AR - 2024
Representation of Binary Tree
View Solution
Consider the 3 × 3 matrix M =
\(\begin{bmatrix} 1 & 2 & 3 \\ 3 & 1 & 3 \\ 4 & 3 & 6 \end{bmatrix}.\)
The determinant of (M
2
+ 12M) is ________.
GATE AR - 2024
Matrix
View Solution
View More Questions