Home › CBSE Class 10 › Mathematics › Arithmetic Progressions › How many three-digit numbers are divisible by 7?
How many three-digit numbers are divisible by 7?
A129
B128
C130
D127
Answer & Solution
Correct answer: B. 128
First three-digit multiple of 7 is 105; last is 994. They form an AP with d = 7. n = (994 − 105)/7 + 1 = 127 + 1 = 128.
Related questions
For the AP $10,\ 7,\ 4,\ \ldots$, the term that first becomes negative is theThe sum $2 + 4 + 6 + \cdots + 100$ (the first 50 even numbers) isA man's starting salary is ₹8000 with an annual increment of ₹500. His salary in the 6th yIf the sum of the first $n$ terms of a sequence is $S_n = n^2$, its $n$th term $a_n$ isIn an AP, the 3rd term is 12 and the 7th term is 24. The first term $a$ and common differeThe sum of the first $n$ natural numbers $1 + 2 + 3 + \cdots + n$ equalsThe common difference of an AP whose $n$th term is $a_n = 3n + 2$ isHow many terms are there in the finite AP $7,\ 13,\ 19,\ \ldots,\ 205$?