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
- A.
300
- B.
316
- C.
304
- D.
332
- 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:
304 + 4 = 308
308 + 8 = 316
316 + 16 = 332
332 + 32 = 364
364 + 64 = 428
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.