If all numbers from 1 to 61 that are divisible by 4 are arranged in ascending…
2016
If all numbers from 1 to 61 that are divisible by 4 are arranged in ascending order, which number is in the 8th position when counted from the smallest?
Answer: A. 32 — Concept The positive multiples of a number k are k × 1, k × 2, k × 3, and so on. When these multiples are arranged in ascending order, the nth term is k × n,…
- A.
32
- B.
36
- C.
40
- D.
28
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Show answer & explanation
Correct answer: A
Concept
The positive multiples of a number k are k × 1, k × 2, k × 3, and so on.
When these multiples are arranged in ascending order, the nth term is k × n, provided it lies in the stated range.
Application
Every number divisible by 4 in the range has the form 4 × m. Since 1 ≤ 4m ≤ 61, m can be 1 through 15.
For the 8th position, take m = 8: 4 × 8 = 32.
Cross-check
Listing the first eight multiples gives 4, 8, 12, 16, 20, 24, 28, 32; this independently confirms the position.
Result
The required number is 32.