Selection Post Phase XIV (12th)19 Sep 2026Shift 2Indices and Surds

Calculate: √0.4 × (0.46 + 0.03)

परिकलन कीजिए: √0.4 × (0.46 + 0.03)

Answer और ExplanationAnswer and explanation

Answer: (C) 1/3

0.4 = 49 ⇒ √0.4 = 23
0.46 = 46 − 490 = 4290 = 715
0.03 = 3 − 090 = 390 = 130
715 + 130 = 14 + 130 = 1530 = 12
मान = 23 × 12 = 13
✓
उत्तर 13 है।
0.4 = 49 ⇒ √0.4 = 23
0.46 = 46 − 490 = 4290 = 715
0.03 = 3 − 090 = 390 = 130
715 + 130 = 14 + 130 = 1530 = 12
Value = 23 × 12 = 13
✓
The answer is 13.
SMART APPROACH

पहले दोनों आवर्ती दशमलव (Recurring decimals) जोड़ लें: 0.4666… + 0.0333… = 0.5000… = 12। फिर 23 × 12 = 13।

Add the two recurring decimals first: 0.4666… + 0.0333… = 0.5000… = 12. Then 23 × 12 = 13.

Source: Selection Post Phase XIV (12th) · 19 Sep 2026 · Shift 2। Solution: Prashant Sir, Vijayastra।Source: Selection Post Phase XIV (12th) · 19 Sep 2026 · Shift 2. Solution by Prashant Sir, from Vijayastra.