Question : A wire of resistance R is cut into 'n' equal parts. These parts are then connected in parallel. The equivalent resistance of the combination will be

Option 1: nR

Option 2: R/n

Option 3: n/R

Option 4: R/n²

Question : A rod of 5 cm radius and 52 cm length is converted into a wire of 100 cm length of uniform thickness. The radius of the wire (in cm) is:

Option 1: $\sqrt{13}$

Option 2: $\sqrt{15}$

Option 3: $\sqrt{23}$

Option 4: $\sqrt{17}$

Question : A metallic sphere of radius 21 cm is melted and then recast into smaller cones, each with a 7 cm radius and a height of 3 cm. Find the number of cones obtained.

Option 1: 225

Option 2: 325

Option 3: 522

Option 4: 252

Question : The length of a cuboid is 8 cm. If the breadth of the cuboid is twice its length and the height of the cuboid is half of its length, then what is the total surface area of the cuboid?

Option 1: $448 \ \text{cm}^2$

Option 2: $216 \ \text{cm}^2$

Option 3: $188\ \text{cm}^2$

Option 4: $154\ \text{cm}^2$

Question : The sum of the length and breadth of a cuboid is 4 cm. Length is three times the breadth. If the height of the cuboid is half of the sum of its length and breadth. Then what is the total surface area of the cuboid?

Option 1: 64 cm²

Option 2: 22 cm²

Option 3: 32 cm²

Option 4: 30 cm²