## Mathematical operation and symbol notation

#### Mathematical operation and symbol notation

Direction: In the following questions, which one of the four interchanges in signs and numbers would make the given equation correct?

1. (3 ÷ 4) + 2 = 2
1. + and ÷, 2 and 4
2. + and -, 3 and 4
3. + and ÷, 2 and 3
4. None of the above

1. On interchanging signs '+' to '÷' and 2 to 3
(2 + 4) ÷ 3 = 2
⇒ 6 ÷ 3 = 2 ⇒ 2 = 2

##### Correct Option: C

On interchanging signs '+' to '÷' and 2 to 3
(2 + 4) ÷ 3 = 2
⇒ 6 ÷ 3 = 2 ⇒ 2 = 2

1. (6 ÷ 2) x 3 = 0
1. x to -, 2 and 6
2. ÷ and x, 2 and 3
3. x to -, 2 and 3
4. ÷ and x, 2 and 6

1. On interchanging signs 'x' to '-' and 2 to 3
(6 ÷ 3) - 2 = 0
⇒ 2 - 2 = 0
⇒ 0 = 0

##### Correct Option: C

On interchanging signs 'x' to '-' and 2 to 3
(6 ÷ 3) - 2 = 0
⇒ 2 - 2 = 0
⇒ 0 = 0

Direction: Study the following information carefully and answer the given questions. If '+' is coded as 'π' , 'x' is coded as '≠' , '÷' is coded as '\$' and '-' is coded as Δ, then what is the value of the following ?

1. 2 ≠ 7 Δ 4
1. 9
2. 3
3. 13
4. 10

1. Given, 2 ≠ 7 Δ 4
After interchanging the signs,
2 x 7 - 4
Apply the BODMAS Rule

##### Correct Option: D

Given, 2 ≠ 7 Δ 4
After interchanging the signs,
2 x 7 - 4
Apply the BODMAS Rule
2 x 7 - 4 = 14 - 4 = 10.

1. 17 ≠ 12 \$ 3
1. 98
2. 87
3. 75
4. 68

1. Given, 17 ≠ 12 \$ 3
After interchanging the sign,
17 x 12 ÷ 3
Apply the BODMAS Rule.

##### Correct Option: D

Given, 17 ≠ 12 \$ 3
After interchanging the sign,
17 x 12 ÷ 3
Apply the BODMAS Rule
= 17 x 4 = 68

1. 72 π 27 Δ 99
1. 65
2. 52
3. 47
4. 0

1. 72 π 27 Δ 99
After interchanging the signs,
72 + 27 - 99
Apply the BODMAS Rule.

##### Correct Option: D

72 π 27 Δ 99
After interchanging the signs,
72 + 27 - 99
Apply the BODMAS Rule.
= 99 - 99 = 0