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✓ Board-verified
Mathematics · 2022 · 2 marks
CBSE 2022 · Region 4 · Set 1 · Q2
How many natural numbers are there between 1 and 1000 which are divisible by 5 but not by 2?
How many natural numbers are there between $\displaystyle 1$ and $\displaystyle 1000$ which are divisible by $\displaystyle 5$ but not by $\displaystyle 2$ ?
Marking-scheme solution
Numbers divisible by $\displaystyle 5$ but not by $\displaystyle 2$ :
\[\begin{array}{l}
5,15,25,35, \ldots, 995 \\
a=5, d=10, a_{n}=995 \Rightarrow a+(n-1) d=995 \\
5+(n-1) 10=995 \Rightarrow(n-1) 10=990 \\
\Rightarrow n-1=99 \Rightarrow n=100
\end{array}
\]
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CBSE Class 10 Mathematics past-paper question from the 2022 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.