Math, asked by brain627, 5 months ago

plz help guys ??? !!!!​

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Answered by BrainlyEmpire
225

\huge{\bold{\underline{\underline{....Answer....}}}}

\huge{\bold{\underline{\tt Explanation:-}}}

\rule{300}{1.5}

The applied trick is,

\large{\boxed{\tt X = (a + b + c +d)^2 - 1}}

[For the values of "X" , "a", "b" , "c" and "d" refer the attachment]

Now, Applying trick,

For the First case :-

\large{\tt 168 = (2 + 6 + 3 + 2)^2 - 1}

\large{\tt 168 = (8 + 5)^2 - 1}

\large{\tt 168 = (13)^2 - 1}

\large{\tt 168 = 169 - 1}

As (13²) = 169.

\large{\boxed{\tt 168 = 168}}

Hence verified.

For the Second case :-

\large{\tt 120 = (3 + 2 + 5 +1 )^2 - 1}

\large{\tt 120 = (5 + 6)^2 - 1}

\large{\tt 120 = (11)^2 - 1}

\large{\tt 120 = 121 - 1}

As (11²) = 121.

\large{\boxed{\tt 120 = 120}}

Hence verified.

For the Third case :-

\large{\tt z = (2 + 3 + 4 + 5)^2 - 1}

\large{\tt z = (5 + 9)^2 - 1}

\large{\tt z = (14)^2 - 1}

\large{\tt z = 196 - 1}

As (14²) = 196.

\huge{\boxed{\boxed{\tt z = 195}}}

So, the missing number is 195 Therefore, Option- (2) is correct.

\rule{300}{1.5}

\rule{300}{1.5}

The applied trick is:-

\large{\boxed{\tt X = \left[ \dfrac{a}{b} \right] \times 2}}

[For the values of "X" , "a", "b" refer the attachment]

Now, applying the trick,

For the First case:-

\large{\tt 14 = \left[ \dfrac{84}{12} \right] \times 2}

\large{\tt 14 = \left[ \dfrac{\cancel{84}}{\cancel{12}} \right] \times 2}

\large{\tt 14 = 7 \times 2}

\large{\boxed{\tt 14 = 14}}

Hence verified.

For the Second case:-

\large{\tt 18 = \left[ \dfrac{81}{9} \right] \times 2}

\large{\tt 18 = \left[ \dfrac{\cancel{81}}{\cancel{9}} \right] \times 2}

\large{\tt 18 = 9 \times 2}

\large{\boxed{\tt 18 = 18}}

Hence verified.

For the third case:-

\large{\tt z = \left[ \dfrac{88}{11} \right] \times 2}

\large{\tt z = \left[ \dfrac{\cancel{88}}{\cancel{11}} \right] \times 2}

\large{\tt z = 8 \times 2}

\huge{\boxed{\boxed{\tt z = 16}}}

So, the missing number is 16 Therefore, Option- (1) is correct.

\rule{300}{1.5}

\rule{300}{1.5}

The applied trick is:-

\large{\boxed{\tt X = \dfrac{a + b }{7}}}

[For the values of "X" , "a", "b" refer the attachment]

Now, Applying the trick is :-

For the First case:-

\large{\tt 6 = \dfrac{25 + 17}{7}}

\large{\tt 6 = \dfrac{42}{7}}

\large{\tt 6 = \dfrac{\cancel{42}}{\cancel{7}}}

\large{\boxed{\tt 6 = 6}}

Hence verified.

For the Second case:-

\large{\tt 8 = \dfrac{38 + 18}{7}}

\large{\tt 8 = \dfrac{56}{7}}

\large{\tt 8 = \dfrac{\cancel{56}}{\cancel{7}}}

\large{\boxed{\tt 8 = 8}}

Hence verified.

For the Third case:-

\large{\tt z = \dfrac{89 + 16}{7}}

\large{\tt z = \dfrac{105}{7}}

\large{\tt z = \dfrac{\cancel{105}}{\cancel{7}}}

\huge{\boxed{\boxed{\tt z = 15}}}

So, the missing number is 15 Therefore, Option- (2) is correct.

\rule{300}{1.5}

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