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Question : Directions: Which number will replace the question mark (?) in the following number series?
24, 61, 122, 213, ?

Option 1: 337

Option 2: 334

Option 3: 340

Option 4: 343


Team Careers360 8th Jan, 2024
Answer (1)
Team Careers360 15th Jan, 2024

Correct Answer: 340


Solution : Given:
24, 61, 122, 213, ?

Subtract 3 from the cube of consecutive natural numbers starting from 3, to get the required missing number in the series –
33 – 3 = 27 – 3 = 24
43 – 3 = 64 – 3 = 61
53 – 3 = 125 – 3 = 122
63 – 3 = 216 – 3 = 213
73 – 3 = 343 – 3 = 340

So, 340 is the required term in the given series. Hence, the third option is correct.

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