## Mathematical operation and symbol notation

#### Mathematical operation and symbol notation

1. Which one of the four interchange in signs or numbers would make the given equation correct ?
6 x 4 + 2 = 16
1. + and x, and 4
2. + and x, 2 and 4
3. + and x, 4 and 6
4. None of these

1. Apply all option one by one.

##### Correct Option: C

Apply all option one by one.
∵ 6 x 4 + 2 = 16 ⇒ 4 + 6 x 2 = 16 ⇒ 4 + 12 = 16

1. Select the correct combination of mathematical sign to replace * signs and to balance the given equation.
15 * 24 * 3 * 6 * 17
1. + ÷ - =
2. + x = ÷
3. - x = +
4. - ÷ + =

1. Given equation → 15 * 24 * 3 * 6 * 17
Substitute the signs from given options

##### Correct Option: A

Given equation → 15 * 24 * 3 * 6 * 17
From option (a), substitute the signs
15 + 24 ÷ 3 - 6 = 17
⇒ 15 + 24/3 - 6 = 17
⇒ 15 + 8 - 6 = 17
⇒ 23 - 6 = 17
∴ 17 = 17

1. If 23 ÷ 4 = 2, 44 ÷ 8 = 32, then what will be the value of 62 ÷ 4?
1. 9
2. 10
3. 8
4. 12

1. (2)3 ÷ 4 = 2, (4)4 ÷ 8 = 32
Therefore, (6)2 ÷ 4 = 9

##### Correct Option: A

(2)3 ÷ 4 = 2, (4)4 ÷ 8 = 32
Therefore, (6)2 ÷ 4 = 9

1. If 2 & 6 % 7 = 33, 4 & 6 % 8 = 54, then what will be the value of 6 % 8 & 9?
1. 95
2. 77
3. 99
4. None of these

1. Here sign '&' does not convey any meaning and sign '%' signifies '+'
26 + 7 = 33, 46 + 8 = 54
Therefore, 6 + 89 = 95

##### Correct Option: A

Here sign '&' does not convey any meaning and sign '%' signifies '+'
26 + 7 = 33, 46 + 8 = 54
Therefore, 6 + 89 = 95

1. If 879 = 9, 625 = 1 and 586 = 9, then 785 = ?
1. 6
2. 7
3. 8
4. 9

1. 879 ⇒ (7 + 9) - 8 = 8
625 ⇒ (2 + 5) - 6 = 1
and 586 ⇒ (8 + 6) - 5 = 9
Similarly, 785 ⇒ (8 + 5) - 7 = 6

##### Correct Option: A

879 ⇒ (7 + 9) - 8 = 8
625 ⇒ (2 + 5) - 6 = 1
and 586 ⇒ (8 + 6) - 5 = 9
Similarly, 785 ⇒ (8 + 5) - 7 = 6