>
Exams
>
Mathematics
>
Number Systems
>
how many multiples of 3 are there among the intege
Question:
How many multiples of 3 are there among the integers 15 to 105 inclusive?
MAT - 2005
MAT
Updated On:
Oct 4, 2024
30
31
32
33
Hide Solution
Verified By Collegedunia
The Correct Option is
B
Solution and Explanation
The correct option is (B):Multiples of 3 are 15,18,21,…..102,105
This series is AP having first term a=15 , common difference d=3 , last number l=105
Total number of terms be n
using formula
\(l=a+(n-1)d\)
\(105=15+(n-1)3\)
\((n-1)=30\)
\(n=31\)
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 MAT exam
In the following sentence, a part of the sentence is underlined. Beneath each sentence four different ways of phrasing the underlined part are indicated. Choose the best alternative among the four options.
There \(\underline {\text{have}\ \text{been}\ \text{heavy}\ \text{rainfall}}\) yesterday
MAT - 2018
Sentence Correction
View Solution
Who among the following cannot be impeached?
MAT - 2018
Politics and Government
View Solution
Who is leading the LTTE delegation for the peace process with Sri Lanka?
MAT - 2018
International Organizations
View Solution
Who was the first UN Secretary General?
MAT - 2018
Politics and Government
View Solution
Which of the following sources yields the maximum revenue to the Union Government?
MAT - 2018
Politics and Government
View Solution
View More Questions