1.

1). 122). 43). 164). 20

Answer»

$(\frac{{{{\LEFT( {94.975} \RIGHT)}^2} - \;{{\left( {44.995} \right)}^2}}}{{49.95\; \TIMES \;34.98}} = ?)$

Take approximated values

⇒ 94.975 ≈ 95

⇒ 44.995 ≈ 45

⇒ 49.95 ≈ 50

⇒ 34.98 ≈ 35

Putting these values in the equation

$(\Rightarrow {\rm{}}\frac{{{{\left( {95} \right)}^2} - \;{{\left( {45} \right)}^2}}}{{50\; \times \;35}})$

⇒ (95)2 – (45)2 = (95 – 45) × (95 + 45) [? a2B2 = (a + b)(a – b)]

$(\Rightarrow {\rm{}}\frac{{\left( {95{\rm{\;}}-{\rm{\;}}45} \right){\rm{\;}} \times {\rm{\;}}\left( {95{\rm{\;}} + {\rm{\;}}45} \right)}}{{50\; \times \;35}}{\rm{}} = {\rm{}}\frac{{50{\rm{\;}} \times {\rm{\;}}140}}{{\left( {50{\rm{\;}} \times {\rm{\;}}35} \right)}}{\rm{}} = {\rm{}}4)$

∴ ? = 4


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