How many two-digit numbers are divisible by 4?
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How many two-digit numbers are divisible by 4?
- A.
21
- B.
22
- C.
24
- D.
25
Attempted by 25 students.
Show answer & explanation
Correct answer: B
Key idea: count all two-digit multiples of 4 (they form an arithmetic progression with difference 4).
Find the first two-digit multiple of 4: 12.
Find the last two-digit multiple of 4: 96.
Use the formula for the number of terms in an arithmetic progression: n = (last − first)/d + 1.
Compute n = (96 − 12)/4 + 1 = 84/4 + 1 = 21 + 1 = 22.
Answer: There are 22 two-digit numbers divisible by 4.