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
Select the set, from the given options, in which the numbers are related in the same way as are the numbers of the following sets.
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its 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.)
(6, 13, 78)
(5, 22, 110)
If + means -, - means ×, × means ÷, ÷ means +, then what will come in place of the question mark (?) in the following equation?
28 - 6 ÷ 4 + 14 × 14 = ?
In the following number-pairs, the second number is obtained by applying certain mathematical operations to the first number. Which numbers should replace X and Y so that the pattern followed by the two numbers on the left side of :: is the same as that on the right side of :: ?
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its 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.)
X : 649 :: 956 : Y
Which two numbers should be interchanged to make the given equation correct?
75 ÷ 5 + 15 × 4 - 17 × 3 + (60 ÷ 6) × 10 = 100
(Note: Interchange should be done of the entire number and not individual digits of a given number.)
If '+' means minus, '-' means multiplication, '÷' means plus, and 'x' means division, then solve the equation:
15 - 3 + 10 x 5 ÷ 5
