Select the number from among the given options that can replace the question…

2022

Select the number from among the given options that can replace the question mark (?) in the following series.

10000, 12000, 9600, 11520, ?

  1. A.

    9200

  2. B.

    9216

  3. C.

    9212

  4. D.

    9254

Attempted by 35 students.

Show answer & explanation

Correct answer: B

Step 1: Observe the pattern in the series.
10000 to 12000: 10000 + (20% of 10000) = 10000 + 2000 = 12000.
12000 to 9600: 12000 - (20% of 12000) = 12000 - 2400 = 9600.
9600 to 11520: 9600 + (20% of 9600) = 9600 + 1920 = 11520.

Step 2: Apply the next logical step.
The series follows an alternating pattern of +20% and -20%.
The next step must be -20%.
11520 - (20% of 11520) = 11520 - 2304 = 9216.

Final Answer: Option B

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