## Mathematical operation and symbol notation

#### Mathematical operation and symbol notation

1. If '@' means 'x', 'c' means '÷' % means (+) and '\$' means '-', then 6%12C3@8   \$   3 = ?
1. 37
2. 35
3. 39
4. 33
5. None of these

1. ∵ 6%12C3@8   \$   3 = ?
After replacing the sign according to the question
⇒ 6 + 12 ÷ 3 x 8 - 3 = ?
Apply the BODMAS Rule

##### Correct Option: B

∵ 6%12C3@8   \$   3 = ?
After replacing the sign according to the question
⇒ 6 + 12 ÷ 3 x 8 - 3 = ?
Apply the BODMAS Rule
⇒ 6 + 4 x 8 - 3 = ?
⇒ 6 + 32 - 3 = ?
⇒ 38 - 3 = ?
∴ ? = 35

Direction: What should be the correct signs to balance the following equations ?

1. 6   5   4 = 34
1. - and +
2. x and +
3. ÷ and x
4. x and -

1. Let us check all the options one by one.
From option (a),
6 - 5 + 4 = 34 (using VBODMAS rule)

##### Correct Option: B

Let us check all the options one by one.
From option (a),
6 - 5 + 4 = 34 (using VBODMAS rule)
⇒ 10 - 5 = 34 ⇒ 5 = 34
∴ LHS ≠ RHS
So, option (a) is incorrect
From option (b),
6 x 5 + 4 = 34 (using VBODMAS rule)
⇒ 30 + 4 = 34 ⇒ 34 = 34
⇒ LHS = RHS
So, option (b) gives us the correct answer and hence, there is no need to check remaining options.

1. 65 40 11 = 36
1. - and +
2. x and ÷
3. ÷ and +
4. + and x

1. Let us check all the options one by one.
From option (a),
65 - 40 + 11 = 36 ⇒ 76 - 40 = 36

##### Correct Option: A

Let us check all the options one by one.
From option (a),
65 - 40 + 11 = 36 ⇒ 76 - 40 = 36
⇒ 36 = 36 ⇒ LHS = RHS
So, option (a) is correct and hence there is no need to check remaining options.

1. Which sequence of mathematical symbols can replace *in the given equation to balance the equation ?
7 * 7 * 2 * 1 = 12
1. x - ÷
2. + - x
3. x - +
4. + x -

1. Given, 7 * 7 * 2 * 1 = 12
Let us check all the options one by one.

##### Correct Option: B

Given, 7 * 7 * 2 * 1 = 12
Let us check all the options one by one.
From option (a), putting the signs in given equation, we get
7 x 7 - 2 ÷ 1 = 12 ⇒ 7 x 7 - 2 = 12
⇒ 49 - 2 = 12 ⇒ 47 = 12
⇒ LHS ≠ RHS
So, option (a) is incorrect.
From option (b), putting the signs in given equation, we get
7 + 7 - 2 x 1 = 12 ⇒ 7 + 7 - 2 = 12
⇒ 14 - 2 = 12 ⇒ 12 = 12
Hence, option (b) is correct and there is no need to check remaining options .

1. If 73 + 82 = 14, 91 + 21 = 11, then 86 + 24 = ?
1. 9
2. 62
3. 8
4. 6

1. As, 73 + 82 = 14
Subtract first two numbers + Add last two numbers

##### Correct Option: C

As, 73 + 82 = 14
⇒ (7 - 3) + (8 + 2) = 14
⇒ 4 + 10 = 14
⇒ 14 = 14 and 91 + 21 = 11
⇒ (9 - 1) + (2 + 1) = 11
⇒ 8 + 3 = 11 ⇒ 11 = 11
Similarly, 86 + 24 = (8 - 6) + (2 + 4) = 2 + 6 = 8