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

Answer: D. 900Observe 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…

  1. A.

    925

  2. B.

    850

  3. C.

    1000

  4. D.

    900

Attempted by 340 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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