Home › UP Board Class 10 › mathematics › Arithmetic Progressions › How many two-digit numbers are divisible by 3 (i…
How many two-digit numbers are divisible by 3 (i.e. the AP 12, 15, …, 99)?
A30
B29
C31
D33
Answer & Solution
Correct answer: A. 30
AP 12,15,…,99: aₙ=12+(n−1)3=99 ⇒ n=30.
Related questions
If the nth term of an AP is $a_n = 3n + 2$, its common difference is:The sum of the first n positive integers is given by:The sum of the first 10 natural numbers (1, 2, 3, …, 10) is:If the first term of an AP is 5 and the common difference is 3, its 4th term is:Which of the following sequences is an arithmetic progression?The common difference of the AP 3, 1, −1, −3, … is:The 10th term of the AP 2, 7, 12, … is:The common difference of the AP 2, 5, 8, 11, … is: