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Select the option that is related to the fifth number in the same way as the second number is related to the first number and the fourth number is related to the third number.
3 : 19 :: 2 : 7 :: 5 : ?
  • a)
    69
  • b)
    51
  • c)
    59
  • d)
    61
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Select the option that is related to the fifth number in the same way...
Logic : Cube of first number - Cube of (first number - 1) = Second number
• 3 : 19
⇒ 33 - (3 - 1)3
⇒ 33 - 23 = 19
• 2 : 7
⇒ 23 - (2 - 1)3
⇒ 23 - 13 = 7
Similarly, 5 : ?
⇒ 53 - (5 - 1)3
⇒ 53 - 43 = 61
Hence, 61 is the correct answer.
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Community Answer
Select the option that is related to the fifth number in the same way...
Explanation:

The given series is: 3 : 19 :: 2 : 7 :: 5 : ?

To find the relationship between the numbers, let's examine the pattern in the series:

First Pair: 3 : 19
The second number (19) is obtained by squaring the first number (3) and then adding 10.
19 = (3^2) + 10

Second Pair: 2 : 7
Similarly, the second number (7) is obtained by squaring the first number (2) and then adding 3.
7 = (2^2) + 3

Based on the pattern observed in the first two pairs, we can deduce that the relationship between the numbers in the series is as follows:

The second number is obtained by squaring the first number and then adding a constant value.

Using this pattern, we can find the fifth number in the series:

Third Pair: 5 : ?
The second number can be obtained by squaring the first number (5) and then adding a constant value.
? = (5^2) + 3
? = 25 + 3
? = 28

Therefore, the fifth number in the series is 28.

However, none of the given options matches the calculated value. Thus, the correct answer is none of the options provided.

Answer: None of the above options.
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Select the option that is related to the fifth number in the same way as the second number is related to the first number and the fourth number is related to the third number.3 : 19 :: 2 : 7 :: 5 : ?a)69b)51c)59d)61Correct answer is option 'D'. Can you explain this answer?
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