Direction: In the following questions, there is a certain relationship between two given numbers on one side of :: and one number is given on another side of the same :: while another number is to be found from the given alternatives:-

49 : 81 :: 100 : ?

This question was previously asked in
Territorial Army Official Paper I (Conducted on 25 Sep 2022)
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  1. 64
  2. 144
  3. 169
  4. None of the above

Answer (Detailed Solution Below)

Option 2 : 144
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Detailed Solution

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The pattern followed in the given series is:
(First term) + 2 = √Second term

Now we apply the pattern on the given series:
49 : 81 :: 100 : ?
(
√49) + 2 = √81
7 + 2 = 9
9 = 9

Similarly,

49 : 81 :: 100 : ?
(
√100) + 2 = ?
10 + 2 =
?
12 =
Answer
Answer = 144

Hence, the correct answer is option (2).

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