If + means -, ÷ means +, - means x , and x means ÷ then,
what is \(35 \div 7 - 5 + 20\)?
Understanding the Operator Substitution
This question involves solving an arithmetic expression where the standard mathematical operators (+, -, ÷, x) have been assigned new meanings. We need to carefully substitute the operators based on the given rules and then calculate the result using the correct order of operations (BODMAS/PEMDAS).
Operator Definitions
- '+' means '-'
- '÷' means '+'
- '-' means 'x'
- 'x' means '÷'
Applying the Substitution
The original expression is: \(35 \div 7 - 5 + 20\)
Let's substitute each operator according to the rules:
- Replace '÷' with '+'
- Replace '-' with 'x'
- Replace '+' with '-'
The expression becomes:
\(35 + 7 \times 5 - 20\)
Calculating the Result (BODMAS/PEMDAS)
We follow the BODMAS rule (Brackets, Orders, Division, Multiplication, Addition, Subtraction) or PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction). In this expression, we have addition, multiplication, and subtraction.
- Multiplication first: Calculate \(7 \times 5\). \(7 \times 5 = 35\)
- Substitute the multiplication result back into the expression: \(35 + 35 - 20\)
- Perform Addition: Calculate \(35 + 35\). \(35 + 35 = 70\)
- Substitute the addition result back: \(70 - 20\)
- Perform Subtraction: Calculate \(70 - 20\). \(70 - 20 = 50\)
Therefore, the value of the expression after applying the operator substitutions and following the order of operations is 50.
Similar Questions
The two expressions on either side of the equal sign will have the same value if two numbers on the left-hand side are interchanged and two signs on the right-hand side are interchanged.
What are those two numbers (not digits) and the two signs?
4 × 3 ÷ 6 + 2 - 8 = 10 + 2 × 3 ÷ 5 - 18
- At a banquet, every 2 people shared a cake, every 6 people shared a bowl of soup, and every 8 people shared a platter of fruit. There were a total of 42 items. How many people were present at the banquet?
If + means ×, × means −, − means ÷, and ÷ means +, what will be the value of the given expression?
24 – 4 + 18 × 3 ÷ 7
Which two signs need to be interchanged to make the following equation correct?
{(78 + 70) − (6 × 2))} ÷ 2 = 10Select the correct combination of mathematical signs to sequentially replace the * signs and to balance the given equation.
(87 * 63) * 6 * 1 * 5
Select the figure from among the given options that can replace the question mark (?) in the following series.
- If += -, - *, *= /, / = +; then,
what is 6+ (4*2)-3/1? - If 'Alpha' means addition, 'Beta' means subtraction, 'Gamma' means multiplication, and 'Delta' means division, then what is the
value of \(100 \ \text{Delta} \ 5 \ \text{Beta} \ 10 \ \text{Alpha} \ 2 \ \text{Gamma} \ 3\)? - What will come in place of the question mark (?) in the following equation?
\(72\div9-15+4\times3=?\) - If + = \(\times\), - = +, \(\times\) = \(\div\), / = -; then,
what is \((4+5) \times 2 - 3 \div 1\)?
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
