दिलेले समीकरण योग्य करण्यासाठी कोणत्या दोन चिन्हांची अदलाबदल करावी?

12 ÷ 5 - 8 × 2 + 14 = 70

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SSC CGL 2023 Tier-I Official Paper (Held On: 20 Jul 2023 Shift 2)
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  1. - आणि +
  2. + आणि ×
  3. ÷ आणि ×
  4. ÷ आणि +

Answer (Detailed Solution Below)

Option 3 : ÷ आणि ×
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PYST 1: SSC CGL - General Awareness (Held On : 20 April 2022 Shift 2)
25 Qs. 50 Marks 10 Mins

Detailed Solution

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येथे, आपण खाली दिलेल्या BODMAS सारणीचा वापर करतो:

दिलेल्याप्रमाणे:

⇒ 12 ÷ 5 - 8 × 2 + 14 = 70

(1) - आणि +

⇒ 12 ÷ 5 - 8 × 2 + 14 = 70

चिन्हे बदलल्यानंतर:

12 ÷ 5 + 8 × 2 - 14 = 70

BODMAS नियम लागू करा:

⇒ 2.4 + 8 × 2 - 14

⇒ 2.4 + 16 - 14

⇒ 18.4 - 14 = 4.4

येथे, समीकरण समाधान करत नाही.

(2) + आणि ×

⇒ 12 ÷ 5 - 8 × 2 + 14 = 70

चिन्हे बदलल्यानंतर:

12 ÷ 5 - 8 + 2 × 14 = 70

BODMAS नियम लागू करा:

⇒ 2.4 - 8 + 2 × 14

⇒ 2.4 - 8 + 28

⇒ 30.4 - 8 = 22.4

येथे, समीकरण समाधान करत नाही.

(3) ÷ आणि ×

⇒ 12 ÷ 5 - 8 × 2 + 14 = 70

चिन्हे बदलल्यानंतर:

⇒ 12 × 5 - 8 ÷ 2 + 14 = 70

BODMAS नियम लागू करा:

⇒ 12 × 5 - 4 + 14

⇒ 60 - 4 + 14

⇒ 74 - 4 = 70

⇒ '12 × 5 - 8 ÷ 2 + 14 = 70'

येथे, समीकरण समाधान करतो.

(4) ÷ आणि +

⇒ 12 ÷ 5 - 8 × 2 + 14 = 70

चिन्हे बदलल्यानंतर:

⇒ 12 + 5 - 8 × 2 ÷ 14 = 70

BODMAS नियम लागू करा:

⇒ 12 + 5 - 8 × 0.142

⇒ 12 + 5 - 1.142

⇒ 17 - 1.142 = 15.85

येथे, समीकरण समाधानी नाही.

म्हणून, योग्य उत्तर "पर्याय (3)" आहे.

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