Find the number that will come in place of the question mark (?) in the…

2019

Find the number that will come in place of the question mark (?) in the following series. Series : 400, 625, ?, 1225, 1600

  1. A.

    925

  2. B.

    850

  3. C.

    1000

  4. D.

    900

Attempted by 175 students.

Show answer & explanation

Correct answer: D

Observe the square roots of the terms:

  • 400 = 20 × 20 = 400

  • 625 = 25 × 25 = 625

  • ? = 30 × 30 = 900

  • 1225 = 35 × 35 = 1225

  • 1600 = 40 × 40 = 1600

The square roots form the sequence 20, 25, 30, 35, 40, increasing by 5 each time.

Therefore the missing number is 30 × 30 = 900.

Final answer: 900

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