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Directions (24-27): In each of the following questions, select the missing number from the given responses. 


500, 484, 459, _?  , 374

  • a)
    384

  • b)
    432

  • c)
    418

  • d)
    423

Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Directions (24-27): In each of the following questions, select the mis...
It is clear from the given series, there are substractions of squares of numbers from 4.
As 500 - ( 42 )  = 484    
484 -  ( 5 2 )     = 459  
459 - ( 6 2 ) = 423    
423 -(7 2 ) = 374
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Most Upvoted Answer
Directions (24-27): In each of the following questions, select the mis...
To find the missing number in the given series, we need to observe the pattern and logic behind the given numbers.

**Pattern:**

Let's analyze the given series:

500, 484, 459, __?__, 374

Looking at the series, we can observe the following pattern:

- The first number, 500, is reduced by 16 to get the second number, 484.
- The second number, 484, is reduced by 25 to get the third number, 459.
- The third number, 459, is reduced by 36 to get the fourth number, __?__.
- The fourth number is reduced by 49 to get the fifth number, 374.

From the pattern, we can see that the numbers are decreasing by the squares of consecutive natural numbers: 4^2, 5^2, 6^2, 7^2.

**Calculation:**

To find the missing number, we need to continue the pattern:

- The third number, 459, is reduced by 36 (6^2) to get the fourth number.
- So, the missing number should be 459 - 36 = 423.

Therefore, the missing number in the given series is 423.

Hence, the correct answer is option D.
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Directions (24-27): In each of the following questions, select the missing number from the given responses.500, 484, 459, _? , 374a)384b)432c)418d)423Correct answer is option 'D'. Can you explain this answer?
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