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 = ?
145
This is a symbol-substitution problem: real operators have been disguised, so the first task is to translate every symbol back into its true arithmetic sign before touching the numbers.
From the given key, \(\$\) stands for multiplication and \(\&\) stands for addition. The symbols \(\sim\) (÷) and \(?\) (−) do not appear in this expression, so only × and + are needed.
Rewriting \(6\ \$\ 15\ \&\ 11\ \$\ 5\) with the real signs gives \(6 \times 15 + 11 \times 5\).
By BODMAS, all multiplications are resolved before the addition, so the two products are computed first.
First product: \(6 \times 15 = 90\).
Second product: \(11 \times 5 = 55\).
Now add the two results: \(90 + 55 = 145\).
The key concept is that symbol tables only rename the operators; the ordinary order of operations (BODMAS) still governs how the translated expression is evaluated. Hence the value of the expression is 145.
Similar Questions
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: \(+ \rightarrow \times,\ - \rightarrow \div,\ \times \rightarrow -,\ \div \rightarrow +\) Then evaluate: \((12 + 3)\times4 - (8\div2) + 6 =\,?\)
If: \(+ \rightarrow -,\ - \rightarrow \times,\ \times \rightarrow \div,\ \div \rightarrow +\) Then evaluate: \(\{\{(20 - 4)\times3 + 6\} \div 2\} =\,?\)
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
Important Questions from Mathematical Operations
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.)
