Question

Choose the correct number in place of ?
5 | 6 | 8 | 169 |
4 | 7 | 31 | 144 |
7 | ? | 14 | 361 |​

Answer 1

Answer:

we see pattern of a³+b²+c and PLEASE MARK ME AS BRAINLIEST

Answer 2

SOLUTION

TO DETERMINE

To Choose the correct number in place of ?

5 | 6 | 8 | 169 |

4 | 7 | 31 | 144 |

7 | ? | 14 | 361 |

EVALUATION

First we take a look that how the result is coming

For the first lines : 5 | 6 | 8 | 169 |

Now

$\sf{ {(5)}^{3} + {(6)}^{2} + 8 }$

$\sf{ = 125 + 36 + 8}$

$\sf{ = 169}$

For the second lines : 4 | 7 | 31 | 144 |

$\sf{ {(4)}^{3} + {(7)}^{2} + 31}$

$= \sf{64 + 49 +31 }$

$\sf{ = 144}$

Thus the pattern is of like below

$\sf{ x \: | \: y \: | \: z \: | \: {x}^{3} + {y}^{2} + z\: | }$

CONCLUSION

The third line is : 7 | ? | 14 | 361 |

Suppose the number in ? place is x

$\sf{ {(7)}^{3} + {x}^{2} + 14 = 361 }$

$\implies \sf{ 343 + {x}^{2} + 14 = 361 }$

$\implies \sf{ {x}^{2} = 4 }$

$\sf{ \implies x = 2 } \: \: \: ( \because \: all \: the \: numbers \: are \: natural \: numbers)$

FINAL ANSWER

Hence the correct number in place of ? is 2

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