# Worked Examples

Interchange the symbols â€˜+â€™ and â€˜Ã·â€™; numbers 2 and 4. Find out the alternative which is correct.

- 2 + 4 Ã· 3 = 3.
- 4 + 2 Ã· 6 = 1.5.
- 4 Ã· 2 + 3 = 4.
- 2 + 4 Ã· 6 = 8.

Consider the alternatives one by one. Interchange the symbols and numbers as suggested in the question and check whether the equation holds good.

- Consider option (1).
- Now, consider option (2).
- Next, consider option (3).
- Finally, consider option (4).

**Answer:** (4)

Which one of the four interchanges in symbols and numbers would make the given equation correct?

Given equation: 3 + 5 - 2 = 4

- + and â€“ ; 2 and 3
- + and â€“; 2 and 5
- + and â€“; 3 and 5
- None of these

Check every alternative by interchanging the symbols and numbers in the given equation.

- On interchanging the symbols and numbers as given in alternative (1) the given equation becomes
- On interchanging the symbols and numbers as given in alternative (2), the given equation becomes
- On interchanging the symbols and numbers as given in alternative (3) the given equation becomes

**Answer:** (3)

Interchange the symbols - and Ã—; and the numbers 15 and 18. Find the correct alternative.

- (20 Ã— 10) + 15 = 25.
- (25 - 3) + 18 = 93.
- (40 Ã· 4) - 18 = 180.
- (64 Ã— 10) Ã· 15 = 3.

Check every alternative.

- (20 Ã— 10) + 15 = 25.
- (25 - 3) + 18 = 93.
- (40 Ã· 4) - 18 = 180.
- (64 Ã— 10) Ã· 15 = 3.

**Answer:** (4)

Interchange - and Ã— ; 3 and 6. Which of the following four options becomes correct?

- 6 - 3 Ã— 2 = 9.
- 3 Ã— 6 - 4 = 14.
- 3 Ã— 6 - 4 = 33.
- 3 - 6 Ã— 8 = 10.

Check every alternative.

- 6 - 3 Ã— 2 = 9.
- 3 Ã— 6 â€“ 4 = 14.
- 3 Ã— 6 â€“ 4 = 33.
- 3 - 6 Ã— 8 = 10.

**Answer:** (4)

Which of the two signs (symbols) you have to interchange to make the equation correct?

10 + 10 Ã· 10 - 10 Ã— 10 = 10.

- + and â€“
- + and Ã·
- + and Ã—
- Ã· and Ã—.

- Given equation is 10 + 10 Ã· 10 - 10 Ã— 10 = 10.
- Given equation is 10 + 10 Ã· 10 - 10 Ã— 10 = 10.
- Given equation is 10 + 10 Ã· 10 - 10 Ã— 10 = 10.
- Given equation is 10 + 10 Ã· 10 - 10 Ã— 10 = 10.

**Answer:** (3)

The two expressions on either side of the sign (=) will have the same value, if two terms on either side or on the same side are interchanged. Choose the correct terms to be interchanged from the alternatives given below the equation.

5 + 3 Ã— 6 - 4 Ã· 2 = 4 Ã— 3 - 10 Ã· 2 + 7

- 5 and 7.
- 6 and 10.
- 4 and 7.
- None of these.

- Check alternative (1).
- Check alternative (2).
- Check alternative (3).

**Answer:** (4) None of these.

15 + 3 Ã— 4 - 8 Ã· 2 = 8 Ã— 5 + 16 Ã· 2 - 1

- 3 and 1.
- 15 and 5.
- 15 and 16.
- 3 and 5.

- Check alternative (1).
- Check alternative (2).
- Check alternative (3).
- Check alternative (4).

**Answer:** (4).