A solid rectangular block is made up of iron. If the iron weighs 25 gr

Here is the OE

Solution:
Step 1: Analyse Question Stem
• Weight of 1 cubic cm = 25 grams.
• Let us assume that l, b, and h be the length, breadth and height of the rectangular block, respectively.
We need to find the weight of the rectangular box.
• Weight = Volume * 25,
• Or, weight = l*b*h*25
Thus, we need to find the volume(l*b*h) of the box.

Step 2: Analyse Statements Independently (And eliminate options) – AD/BCE
Statement 1: 48 and 60 are areas of the two adjacent sides of the rectangular block.
• Let l*b = 48 and b*h = 60, then l*b*b*h = l*\(b^2\)*h = 48*60
• However, we don’t know the value of b.
• Note: - We can consider any of the two adjacent faces, it does not make any difference.
• We cannot find the volume of the box.
• Thus, we cannot find the weight of the box.
Hence, statement 1 is not sufficient, we can eliminate answer options A and D.
Statement 2: Half of the total surface area of the rectangular block is 188
• According to this statement:\( \frac{1}{2}\) *2*(l*b + b*h + h*l) = 188
• From this information we can neither find individual value of l, b and h nor we can find l*b*h.
• Thus, we cannot find the weight of the rectangular block.
Hence, statement 2 is also not sufficient, we can eliminate answer options B.

Step 3: Analyse Statements by combining.
From statement 1: l*\(b^2\)*h = 48*60
From statement 2: \(\frac{1}{2}\) *surface area of the box = 188
• 188 = \(\frac{1}{2}\) *2(48 + 60 + area of third face)
• 188 – 108 = Area of third face
• Area of third face = 80.
• Now, we can find the square of the volume of the box by multiplying the area of the three faces of boxes i.e., lb*bh*hl = l2*b2*h2 = V2
• By taking the square root of the product we can find the value of the volume.
Hence, the correct answer is Option C.
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C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
Correct Option