If '+' means '-', '-' means '÷', '÷' means 'x', and 'x' means '+'. Which of the following will be the value of the expression?
$125-25÷3+14×36$
Symbol Replacement Rules
The question provides specific rules for symbol substitution:
- '+' is replaced by '-'
- '-' is replaced by '÷'
- '÷' is replaced by 'x'
- 'x' is replaced by '+'
Expression Transformation
Apply these rules to the given expression: $125-25÷3+14×36$.
- Replace '-' with '÷': $125 ÷ 25$
- Replace '÷' with 'x': $3$
- Replace '+' with '-': $14$
- Replace 'x' with '+': $36$
The transformed expression is: $125 ÷ 25 \times 3 - 14 + 36$.
Evaluating the Transformed Expression
Use the standard order of operations (BODMAS/PEMDAS) to evaluate the new expression: $125 ÷ 25 \times 3 - 14 + 36$.
- Division: Perform the division first. $125 ÷ 25 = 5$ The expression becomes: $5 \times 3 - 14 + 36$.
- Multiplication: Perform the multiplication next. $5 \times 3 = 15$ The expression becomes: $15 - 14 + 36$.
- Subtraction: Perform the subtraction. $15 - 14 = 1$ The expression becomes: $1 + 36$.
- Addition: Perform the final addition. $1 + 36 = 37$
The final value of the expression after applying the symbol replacements and calculations is 37.
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.)
