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Question

In this type of questions, question is provided with substitutes for various mathematical symbols, followed by a question involving calculation of an expression or choosing the correct/incorrect equation. You have to put the real signs in the given equation and then solve the questions as required.

If '%' stands for '×', '~' stands for '-', '!' stands for '÷', '*' stands for '+', then find the value of: 4 * 12 % 9 % 10 = ?

The correct answer is

1084

This is a symbol-substitution problem: replace each coded symbol with the real arithmetic sign it stands for and then simplify using the correct order of operations.

The key given here is that '%' stands for '×' and '*' stands for '+' (the symbols '~' for '-' and '!' for '÷' do not appear in this expression).

Rewriting \(4 * 12 \% 9 \% 10\) with real signs gives \(4 + 12 \times 9 \times 10\).

By BODMAS, multiplication is done before addition, so first evaluate the products: \(12 \times 9 = 108\).

Continue the multiplication: \(108 \times 10 = 1080\).

Now perform the addition: \(4 + 1080 = 1084\).

The concept tested is careful symbol replacement followed by the BODMAS precedence of operations.

Hence the value of the expression is 1084.

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Similar Questions

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Important Questions from Mathematical Operations

  1. What will come in the place of ‘?’ in the following equation if ‘+’ and ‘−’ are interchanged and ‘×’ and ‘÷’ are interchanged?
    18 ÷ 9 + 24 × 3 − 16 = ?

  2. If ‘A’ stands for ‘÷’, ‘B’ stands for ‘×’, ‘C’ stands for ‘+’, and ‘D’ stands for ‘−’, what will come in place of the question mark (?) in the following equation?
    88 B 3 D 12 A 4 C 6 = ?

  3. Select the set in which the numbers are related in the same way as are the numbers of the given sets.
    (NOTE: Operations should be performed on whole numbers without breaking down the numbers into their constituent digits. E.g., 13 – Operations on 13 such as adding/subtracting/multiplying, etc., to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
    Given sets:
    (9, 21, 193)
    (12, 15, 184)

  4. What will come in the place of the question mark (?) in the following equation, if ‘÷’ and ‘+’ are interchanged and ‘−’ and ‘×’ are interchanged?
    44 ÷ 78 + 6 − 3 × 19 = ?

  5. Two sets of numbers are given below. In each set of numbers, certain mathematical operation(s) on the first number result(s) in the second number. Similarly, certain mathematical operation(s) on the second number result(s) in the third number and so on. Which of the given options follows the same set of operations as in the given sets?

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