34. Ifodaning qiymatini toping $$ -27-26-25-\cdots-2-1+1+2+\cdots+28+29 $$ A) 57 B) 56 C) 29 D) 28 35. $$ 3^{73} $$ sonini 5 ga bo Igandagi qoldiqni toping. A) 1 B) 2 C) 3 D) 4 36. Hisoblang: $$ \frac{3,3}{0,3}+\frac{22,2}{0,2}+\frac{0,05}{0,005}-111 $$ A) 7 B) 9 C) 11 D) 21 37. $$ x_{1} $$ va $$ x_{2} $$ sonlari $$ 2 x^{2}-6 x+1=0 $$ kvadrat tenglamaning ildizlari bo lsa, $$ \left|x_{1}-x_{2}\right|= $$ ? A) $$ \sqrt{7} $$ B) $$ \sqrt{8} $$ C) 3 D) $$ \sqrt{10} $$ 38. $$ A B C $$ uchburchakda $$ A B=14, B C=12, A C= $$ 10 va $$ A C $$ tomonda tanlangan $$ D $$ nuqta uchun $$ A D= $$ 4 bo`ladi. $$ E $$ nuqta $$ B C $$ kesmada shunday tanlanganki, $$ S_{A B C}=2 S_{C D E} $$ bo lsa, $$ S_{A B E}= $$ ? A) $$ 4 \sqrt{2} $$ B) $$ 3 \sqrt{6} $$ C) $$ 4 \sqrt{6} $$ D) $$ 6 \sqrt{2} $$

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35. $$ 3^{73} $$ sonini 5 ga bo'lgan qoldiqni toping.

$$ 3^{73} $$ sonini 5 ga bo'lgan qoldiqni topish uchun, biz 5 ga bo'lgan qoldiqni topish uchun moduli aritmetikasidan foydalanamiz.

$$ 3^{73} \mod 5 $$

$$ 3^{73} $$ sonini 5 ga bo'lgan qoldiqni topish uchun, biz quyidagilarni amalga oshiramiz:

$$ 3^{73} \mod 5 = (3^{2})^{36} \cdot 3 \mod 5 $$

$$ 3^{2} \mod 5 = 9 \mod 5 = 4 $$

$$ (3^{2})^{36} \mod 5 = 4^{36} \mod 5 $$

$$ 4^{36} \mod 5 = 1 \mod 5 $$

$$ 1 \cdot 3 \mod 5 = 3 \mod 5 $$

Shuning uchun, $$ 3^{73} $$ sonining 5 ga bo'lgan qoldiqi 3 ga teng.

Javob: C) 3
$$ 3^{73} $$ sonining 5 ga bo'lgan qoldiqi 3 ga teng.

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