Question : Directions: What should come in place of the question mark (?) in the given series?
473, 464, 448, ?, 387
Option 1: 378
Option 2: 348
Option 3: 423
Option 4: 323
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Correct Answer: 423
Solution :
Given:
473, 464, 448, ?, 387
Subtract the squares of the consecutive numbers (starting from 3) from each term to get the next term of the series.
473 – (3)
2
= 473 – 9 = 464
464 – (4)
2
= 464 – 16 = 448
448 – (5)
2
= 448 – 25 =
423
423 – (6)
2
= 423 – 36 = 387
So, 423 is the missing number. Hence, the third option is correct.
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