By Interchanging the given two numbers which of the following equation will be correct?

2 and 8

This question was previously asked in
SSC CGL 2022 Tier-I Official Paper (Held On : 13 Dec 2022 Shift 3)
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  1. 8 ÷ 1 + 4 × 2 – 3 = 18
  2. 7 × 2 + 6 ÷ 3 – 8 = 60
  3. 2 × 4 – 8 + 6 ÷ 3 = 33
  4. 8 × 4 + 6 – 2 ÷ 1 = 6

Answer (Detailed Solution Below)

Option 4 : 8 × 4 + 6 – 2 ÷ 1 = 6
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PYST 1: SSC CGL - General Awareness (Held On : 20 April 2022 Shift 2)
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Detailed Solution

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According to the question, after interchanging the number 2 and 8:

So,

  • Option - (1) : 8 ÷ 1 + 4 × 2 – 3 = 18  ⇒  2 ÷ 1 + 4 × 8 – 3 = 18

2 ÷ 1 + 4 × 8 – 3 = 18

2 + 4 × 8 – 3 = 18

2 + 32 - 3 = 18

34 - 3 = 18

31  18 (LHS  RHS)

  • Option - (2) : 7 × 2 + 6 ÷ 3 – 8 = 60  ⇒  7 × 8 + 6 ÷ 3 – 2 = 60

7 × 8 + 6 ÷ 3 – 2 = 60

7 × 8 + 2 - 2 = 60

56 + 2 - 2 = 60

58 - 2 = 60 

56  60 (LHS  RHS)

    Option - (3) : 2 × 4 – 8 + 6 ÷ 3 = 33  ⇒  8 × 4 – 2 + 6 ÷ 3 = 33

8 × 4 – 2 + 6 ÷ 3 = 33

8 × 4 – 2 + 2 = 33

32 + 2 - 2 = 33

34 - 2 = 33

32 Unknown node type: strong 33 (LHS Unknown node type: strong RHS)

  • Option - (4) : 8 × 4 + 6 – 2 ÷ 1 = 6  ⇒  2 × 4 + 6 – 8 ÷ 1 = 6

2 × 4 + 6 – 8 ÷ 1 = 6

2 × 4 + 6 – 8 = 6

8 + 6 - 8 = 6

14 - 8 = 6

6 = 6 (LHS = RHS)

Hence, "Option - (4)" is the correct answer.

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