Mathematical operation and symbol notation
 If '@' means 'x', 'c' means '÷' % means (+) and '$' means '', then 6%12C3@8 $ 3 = ?

 37
 35
 39
 33
 None of these

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∵ 6%12C3@8 $ 3 = ?
After replacing the sign according to the question
⇒ 6 + 12 ÷ 3 x 8  3 = ?
Apply the BODMAS RuleCorrect 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 ?
 6 5 4 = 34

  and +
 x and +
 ÷ and x
 x and 

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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.
 65 40 11 = 36

  and +
 x and ÷
 ÷ and +
 + and x

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Let us check all the options one by one.
From option (a),
65  40 + 11 = 36 ⇒ 76  40 = 36Correct 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.
 Which sequence of mathematical symbols can replace *in the given equation to balance the equation ?
7 * 7 * 2 * 1 = 12

 x  ÷
 +  x
 x  +
 + x 

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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 .
 If 73 + 82 = 14, 91 + 21 = 11, then 86 + 24 = ?

 9
 62
 8
 6

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