Which two numbers should be interchanged to make the given equation correct 64 minus 24 divide 3 32 ...........

Logical Reasoning (MTS) Arthemetic Operations

Which two numbers should be interchanged to make the given equation correct?

64 − 24 ÷ 3 + 32 × 12 = 158

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SSC MTS 8th October 2021 Shift-2

12 and 32

12 and 3

64 and 12

32 and 64

- Start with the original equation: 64 - 24 ÷ 3 + 32 × 12 = 158.

- Check if interchanging 12 and 32 (Option 1) balances the equation:

- New equation: 64 - 24 ÷ 3 + 12 × 32

- Simplifying: 64 - 8 + 384 = 440; Incorrect.

- Check if interchanging 12 and 3 (Option 2) balances the equation:

- New equation: 64 - 24 ÷ 12 + 32 × 3

- Simplifying: 64 - 2 + 96 = 158; Correct!

- Check if interchanging 64 and 12 (Option 3) balances the equation:

- New equation: 12 - 24 ÷ 3 + 32 × 64

- Simplifying: 12 - 8 + 2048; Incorrect.

- Check if interchanging 32 and 64 (Option 4) balances the equation:

- New equation: 32 - 24 ÷ 3 + 64 × 12

- Simplifying: 32 - 8 + 768; Incorrect.

- The corrected equation is valid when 12 and 3 are interchanged, so option 2 is right.

Correct Answer: Option 2

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