Subject
Quantitative Aptitude
Topic
Number
What should come in place of the question mark (?) in the following number series?
41 164 2624 ? 6045696
What should come in place of the question mark (?) in the following number series? 41 164 2624 ? 6045696
ক)
104244খ)
94644গ)
94464ঘ)
102444ঙ)
None of theseExplanation
We are denoting the positions of the numbers. Like: The number in position 1 is 41 The number in position 2 is 164 The number in position 3 is 2624 & so on. In the following number series the pattern we observe is: Any number = the previous number × (2 × the previous number’s position) 2 For example: 164 = 41 × (2 × 1) 2 [The previous number of 164 is 41 & 41’s position is 1] Similarly, 2624 = 164 × (2 × 2) 2 So, for ‘?’ we can observe: The previous number of question mark is 2624 The position of the previous number of the question mark is 3 ∴ ? = 2624 × (2 × 3) 2 ⇒ ? = 94464 For confirmation we can check if 6045696 can be obtained from 94464 in similar fashion. i.e., 6045696 = 94464 × (2 × 4) 2Related questions
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