Question : An iron rod with a diameter of 4 cm and length of 12 cm is drawn into a wire of length 12 m of uniform thickness. Determine the thickness of the wire.

Option 1: 0.6 cm

Option 2: 0.7 cm

Option 3: 0.3 cm

Option 4: 0.4 cm

Question : The positive square root of
[0.6 × 0.6 × 0.6 + 0.4 × 0.4 × 0.4 + 3 × 0.6 × 0.4 (0.6 + 0.4)] is equal to:

Option 1: 2.1736

Option 2: 1

Option 3: 0.21736

Option 4: 0.072

Question : The value of $0. \overline{57}-0.4 \overline{32}+0.3 \overline{5}$ is:

Option 1: $0.4 \overline{98}$

Option 2: $0.4 \overline{94}$

Option 3: $0. \overline{498}$

Option 4: $0. \overline{495}$

Question : The value of $\frac{0.7× 0.7× 0.7+0.3 × 0.3 × 0.3}{0.7 × 0.7-0.7× 0.3+0.3 × 0.3}$ is_____.

Option 1: 2

Option 2: 1

Option 3: 3

Option 4: – 1

Question : Two chords of lengths $a$ metre and $b$ metre subtend angles $60^{\circ}$ and $90^{\circ}$ at the centre of the circle, respectively. Which of the following is true?

Option 1: $b=\sqrt{2}a$

Option 2: $a=\sqrt{2}b$

Option 3: $a=2b$

Option 4: $b=2a$