Question : Directions: Select the number from among the given options that can replace the question mark (?) in the following series.
6, 24, 54, 96, 150, ?
Option 1: 216
Option 2: 196
Option 3: 220
Option 4: 204
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Correct Answer: 216
Solution :
Given:
6, 24, 54, 96, 150, ?
Multiply 6 with the square of consecutive numbers, starting from 1 to obtain the numbers of the series –
6 × (1)
2
= 6 × 1 = 6; 6 × (2)
2
= 6 × 4 = 24; 6 × (3)
2
= 6 × 9 = 54; 6 × (4)
2
= 6 × 16 = 96; 6 × (5)
2
= 6 × 25 = 150; 6 × (6)
2
= 6 × 36 = 216
So, 216 is the missing number. Hence, the first option is correct.
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