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.

304, 300, 316, 332, 364, 428, 556

  1. A.

    300

  2. B.

    316

  3. C.

    304

  4. D.

    332

  5. E.

    428

Attempted by 7 students.

Show answer & explanation

Correct answer: A

Concept

In a “find the wrong number” series, first identify the single arithmetic rule that the differences between consecutive terms follow. Here the rule is that each term is obtained by adding a growing increment that doubles at every step — i.e. the additions form a geometric chain (+4, +8, +16, +32, …), each twice the previous one.

Application

Start from the first term, 304, and apply the doubling-increment rule one step at a time:

  1. 304 + 4 = 308

  2. 308 + 8 = 316

  3. 316 + 16 = 332

  4. 332 + 32 = 364

  5. 364 + 64 = 428

  6. 428 + 128 = 556

So the series that perfectly obeys the rule is 304, 308, 316, 332, 364, 428, 556.

Cross-check

Compare this rule-consistent series with the printed one (304, 300, 316, 332, 364, 428, 556). Every term matches except the second: the rule demands 308, but the series prints 300. Hence the term 300 breaks the doubling-increment pattern and is the wrong number; replacing it with 308 restores the +4, +8, +16, +32, +64, +128 chain.

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