Study the given matrix carefully and select the number from among the given options that can replace the question mark (?) in it.

7 13 174
9 25 104
11 30 ?

This question was previously asked in
SSC CGL 2021 Tier-I (Held On : 11 April 2022 Shift 2)
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  1. 335
  2. 129
  3. 431
  4. 100

Answer (Detailed Solution Below)

Option 3 : 431
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Detailed Solution

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Given:

7

13

174

9

25

104

11

30

?

Here the pattern followed in each row is:

(1st number)3 – (2nd number)2 = 3rd number

Row 1: (1st number)3 – (2nd number)2 = 3rd number

73 - 132 = 343 - 169 = 174

Row 2: (1st number)3 – (2nd number)2 = 3rd number

93 - 252 = 729 - 625 = 104

Similarly

Row 3: (1st number)3 – (2nd number)2 = 3rd number

113 - 302 = 1331 - 900 = 431

Hence, “431” is correct answer.
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