In each of these questions a number series is given. In each series only one…

2024

In each of these questions a number series is given. In each series only one number is wrong. Find out the wrong number.

18225, 6075, 2025, 675, 220, 75, 25

  1. A.

    25

  2. B.

    75

  3. C.

    220

  4. D.

    18225

  5. E.

    6075

Attempted by 1 students.

Show answer & explanation

Correct answer: C

Concept

In a 'find the wrong number' series, first identify the single rule that links each term to the next (a constant ratio, a constant difference, or a fixed operation). Once the rule is fixed, the one term that violates it is the wrong number.

Application

Test the ratio between consecutive terms from the left:

  1. 18225 ÷ 3 = 6075 — holds

  2. 6075 ÷ 3 = 2025 — holds

  3. 2025 ÷ 3 = 675 — holds

  4. 675 ÷ 3 = 225, but the series shows 220 — breaks the rule

  5. 225 ÷ 3 = 75 — holds

  6. 75 ÷ 3 = 25 — holds

The governing rule is 'divide the previous term by 3.' Every step obeys it except the fifth term, where the value should be 225 but appears as 220.

Cross-check

Replace 220 with 225 and read the corrected series: 18225, 6075, 2025, 675, 225, 75, 25. Now 225 ÷ 3 = 75 and 75 ÷ 3 = 25, so every consecutive pair has the exact ratio 3. This confirms 220 is the only term that does not fit, so 220 is the wrong number.

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