Number of even numbers between 58 and 80 is
10
11
12
13
Step 1: “Even numbers” are numbers divisible by 2 (like 2, 4, 6, ...).
Step 2: “Between 58 and 80” means greater than 58 and less than 80.
Step 3: The first even number after 58 is 60.
The last even number before 80 is 78.
Step 4: List them to see the pattern:
60, 62, 64, 66, 68, 70, 72, 74, 76, 78
Step 5 (count using a formula):
First term \(a = 60\)
Last term \(l = 78\)
Common difference \(d = 2\)
Number of terms \(n\) is
\[ n = \dfrac{l - a}{d} + 1 \]
\[ n = \dfrac{78 - 60}{2} + 1 \]
\[ n = \dfrac{18}{2} + 1 \]
\[ n = 9 + 1 = 10 \]
Answer: 10 (Option A)