The correct option is E None of theseHere, 3^3 × 81^2 ÷ 2763 = (3)^? ⇒ 3^3 × (3^4)^2 ÷ (3^3)^3 = (3)^? ⇒ 3^3 × 3^8 ÷ 3^9 = (3^?) ⇒ 3^3 + 8÷ 3^9 = (3)^? ⇒ 3^11 ...

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Other

Quantitative Aptitude

Base Systems

33× 812÷ 2763...

Question

$3^{3} \times 81^{2} \div 2763 = (3)^{?}$

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None of these

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Solution

The correct option is E None of these
$H e r e, 3^{3} \times 81^{2} \div 2763 = (3)^{?} \Rightarrow 3^{3} \times (3^{4})^{2} \div (3^{3})^{3} = (3)^{?} \Rightarrow 3^{3} \times 3^{8} \div 3^{9} = (3^{?}) \Rightarrow 3^{3 + 8} \div 3^{9} = (3)^{?} \Rightarrow 3^{11 - 9} = (3)^{?} \Rightarrow ? = 2$

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(82)^{2} - (81)^{2}

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Using coafactors of the elements of second row, evaluate
$Δ = ∣ ∣ ∣ ∣ \begin{matrix} 5 & 3 & 8 2 & 0 & 1 1 & 2 & 3 \end{matrix} ∣ ∣ ∣ ∣$

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is equal to:

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33×812÷2763=(3)?

The correct option is E None of theseHere,33×812÷2763=(3)?⇒33×(34)2÷(33)3=(3)?⇒33×38÷39=(3?)⇒33+8÷39=(3)?⇒311−9=(3)?⇒?=2

$3^{3} \times 81^{2} \div 2763 = (3)^{?}$

The correct option is E None of these
$H e r e, 3^{3} \times 81^{2} \div 2763 = (3)^{?} \Rightarrow 3^{3} \times (3^{4})^{2} \div (3^{3})^{3} = (3)^{?} \Rightarrow 3^{3} \times 3^{8} \div 3^{9} = (3^{?}) \Rightarrow 3^{3 + 8} \div 3^{9} = (3)^{?} \Rightarrow 3^{11 - 9} = (3)^{?} \Rightarrow ? = 2$