CBSE
2026
Class Class 10 · Mathematics
1 Marks · Long
✅ Verified
**Assertion (A) :** The mean of first 'n' natural numbers is $\dfrac{n-1}{2}$.
**Reason (R) :** The sum of first 'n' natural numbers is $\dfrac{n(n+1)}{2}$.
✅ Answer & Solution
**Step 1 — Check the Reason (R).**
$$1 + 2 + 3 + \dots + n = \frac{n(n+1)}{2}$$
This is the standard result. $\therefore$ **Reason (R) is TRUE.**
**Step 2 — Check the Assertion (A).**
$$\text{Mean} = \frac{\text{Sum of observations}}{\text{Number of observations}} = \frac{\dfrac{n(n+1)}{2}}{n} = \frac{n+1}{2}$$
The Assertion claims $\dfrac{n-1}{2}$, which is wrong.
$\therefore$ **Assertion (A) is FALSE.**
**Step 3 — Choose the option.**
Assertion false, Reason true.
**Answer : (D)**
✅ Verified by Super Admin