Which two numbers should be interchanged to make the given equations correct 6 times 3 minus 8 divid...........

Logical Reasoning (CPO) Arthemetic Operations

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

6 × 3 − 8 ÷ 2 + 5 = 8 ÷ 2 + 3 × 5 − 6

This questions was previously asked in

SSC CPO 12th-March-2019-Shift-1

6 and 2

8 and 6

3 and 5

5 and 6

- The given equation is: 6 × 3 - 8 ÷ 2 + 5 = 8 ÷ 2 + 3 × 5 - 6.

- Calculate the left side:

- Multiplication: 6 × 3 = 18.

- Division: 8 ÷ 2 = 4.

- Whole Left Side: 18 - 4 + 5 = 19.

- Calculate the right side:

- Division: 8 ÷ 2 = 4.

- Multiplication: 3 × 5 = 15.

- Whole Right Side: 4 + 15 - 6 = 13.

- Right now, the two sides are not equal (19 ? 13).

- Check options to make both sides equal.

- Option 1, Interchange 6 and 2: Switch makes left side 3 × 6 - 8 ÷ 6 + 5 = 16.67; right side: 8 ÷ 6 + 3 × 5 - 2 = 16.33. Not equal.

- Option 2, Interchange 8 and 6: Switch makes left side 6 × 3 - 6 ÷ 2 + 5 = 18; right side: 6 ÷ 2 + 3 × 5 - 8 = 7. Not equal.

- Option 3, Interchange 3 and 5: Left side 6 × 5 - 8 ÷ 2 + 3 = 31; right side: 8 ÷ 2 + 5 × 3 - 6 = 11. Not equal.

- Option 4, Interchange 5 and 6: Left side 5 × 3 - 8 ÷ 2 + 6 = 15; right side: 8 ÷ 2 + 3 × 6 - 5 = 15. Sides are equal!

- Correct Answer: Option 4: 5 and 6.

Submit Error