खालील समीकरण गणितीयदृष्ट्या बरोबर करण्यासाठी त्यातील कोणती गणिती चिन्हे बदलली पाहिजेत?

440 × 10 - 330 + 100 ÷ 5 = 214

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  1. - आणि ÷
  2. + आणि ÷
  3. + आणि ×
  4. × आणि ÷

Answer (Detailed Solution Below)

Option 4 : × आणि ÷
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SSC MTS 2024 Official Paper (Held On: 01 Oct, 2024 Shift 1)
90 Qs. 150 Marks 90 Mins

Detailed Solution

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दिलेले समीकरण: 440 × 10 - 330 + 100 ÷ 5 = 214

पर्याय(1): - आणि ÷

चिन्हे बदलल्यास,

440 × 10 ÷ 330 + 100 - 5 = 214

440 × 0.03030 + 100 - 5 = 214

13.33 + 100 - 5 = 214

113.33 - 5 = 214

108.33 ≠ 214

पर्याय (2): + आणि ÷

चिन्हे बदलल्यास,

440 × 10 - 330 ÷ 100 + 5 = 214

440 × 10 - 3.3 + 5 = 214

4400 - 3.3 + 5 = 214

4405 - 3.3 = 214

4401.7 ≠ 214

पर्याय (3): + आणि ×

चिन्हे बदलल्यास,

440 + 10 - 330 × 100 ÷ 5 = 214

440 + 10 - 330 × 20 = 214

440 + 10 - 6600 = 214

450 - 6600 = 214

-6150 ≠ 214

पर्याय (4): × आणि ÷

चिन्हे बदलल्यास,

440 ÷ 10 - 330 + 100 × 5 = 214

44 - 330 + 100 × 5 = 214

44 - 330 + 500 = 214

544 - 330 = 214

214 = 214

म्हणून, पर्याय (4) योग्य आहे.

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