If: \(+ \rightarrow \times,\ - \rightarrow \div,\ \times \rightarrow -,\ \div \rightarrow +\) Then evaluate: \((12 + 3)\times4 - (8\div2) + 6 =\,?\)
33.6
This is a symbol-substitution problem, so the first job is to rewrite every operator in the expression using the new meanings before any arithmetic is attempted.
The replacement rule is \(+\rightarrow\times\), \(-\rightarrow\div\), \(\times\rightarrow-\) and \(\div\rightarrow+\).
Applying it to \((12+3)\times4-(8\div2)+6\) turns each symbol in turn and gives the working line \((12\times3)-4\div(8+2)\times6\).
Clear the two easy pieces first: the product \(12\times3=36\) and the bracket \(8+2=10\).
Now the line reads \(36-4\div10\times6\), and BODMAS demands that the division and multiplication be done before the subtraction.
So \(4\div10=0.4\), then \(0.4\times6=2.4\), and finally \(36-2.4=33.6\).
The key idea is to swap the symbols first and only afterwards evaluate strictly by order of operations, never left to right. Hence the value is 33.6.
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 '$\div$', '@' stands for '+', '%' stands for '-', '$' stands for 'x', then find the value of:
8 % 11 $ 10 % 3 = ?
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 '$\div$', '$' stands for '-', '%' stands for 'x', '#' stands for '+', then find the value of:
6 # 15 # 14 # 5 = ?
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 'x', '^' stands for '+', '!' stands for '-', '&' stands for '+', then find the value of:
317 & 14111 =?
If: \(+ \rightarrow -,\ - \rightarrow \times,\ \times \rightarrow \div,\ \div \rightarrow +\) Then evaluate: \(\{\{(20 - 4)\times3 + 6\} \div 2\} =\,?\)
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: 6 $ 15 & 11 $ 5 = ?
If '+' means '−', '−' means '×', '×' means '÷' and '÷' means '+', then 12 × 4 ÷ 22 + 5 − 3 = ?
If 'A' means '+', 'B' means '−', 'C' means '÷' and 'D' means '×', then which of the following equation is correct?
I. 45 A 13 B 38 C 19 D 6 = 46
II. 13 A 47 B 36 C 4 D 5 = 15
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 = ?
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: 10 @ 3 @ 4 # 14 = ?
By interchanging the given two numbers (not digits) which of the following equation will NOT be correct?
9 and 7
I. 9 x 2 + 7 - 6 $\div$ 3 = 21
II. 7 x 3 + 9 - 8 $\div$ 2 = 30
What will come in the place of ‘?’ in the following equation if ‘+’ and ‘−’ are interchanged and ‘×’ and ‘÷’ are interchanged?
18 ÷ 9 + 24 × 3 − 16 = ?
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 = ?
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)
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 = ?
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?
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)