UGC-NET-Paper1

We are given the expression:

[ (0.05 × 0.05 × 0.05) + (0.04 × 0.04 × 0.04) ]
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[ (0.05 × 0.05) - (0.05 × 0.04) + (0.04 × 0.04) ]

### Step 1: Compute the Numerator
First term:
0.05 × 0.05 × 0.05 = 0.000125

Second term:
0.04 × 0.04 × 0.04 = 0.000064

Sum of both terms:
0.000125 + 0.000064 = 0.000189

### Step 2: Compute the Denominator
First term:
0.05 × 0.05 = 0.0025

Second term:
0.05 × 0.04 = 0.0020

Third term:
0.04 × 0.04 = 0.0016

Now, compute the denominator:
0.0025 - 0.0020 + 0.0016 = 0.0021

### Step 3: Compute the Final Value
Final value = Numerator / Denominator
= 0.000189 / 0.0021
≈ 0.09 (correct to 2 decimal places)

Thus, the correct answer is:

**(2) 0.09**