If ‘A’ stands for ‘÷’, ‘B’ stands for ‘×’, ‘C’ stands for ‘+’ and ‘D’ stands for ‘−’, then what will come in place of the question mark (?) in the following equation? (46 B 8) A 16 C 15 B 3 D 27 =?
This question involves understanding symbolic representation and applying the order of operations (BODMAS/PEMDAS) to solve a mathematical expression.
Symbol Substitution Explained
First, we need to replace the letters in the given equation with their corresponding mathematical operators as defined:
- 'A' represents division (
÷) - 'B' represents multiplication (
×) - 'C' represents addition (
+) - 'D' represents subtraction (
-)
The given equation is: (46 B 8) A 16 C 15 B 3 D 27
Substituting the symbols, the equation becomes:
(46 × 8) ÷ 16 + 15 × 3 - 27
Step-by-Step Calculation
We will now solve the expression using the order of operations (BODMAS/PEMDAS: Brackets/Parentheses, Orders/Exponents, Division and Multiplication from left to right, Addition and Subtraction from left to right).
- Solve the expression inside the brackets:
$$ 46 \times 8 = 368 $$The equation now is:$$ 368 \div 16 + 15 \times 3 - 27 $$
- Perform multiplication and division from left to right:
- First, division:
$$ 368 \div 16 = 23 $$
- Next, multiplication:
$$ 15 \times 3 = 45 $$
$$ 23 + 45 - 27 $$ - First, division:
- Perform addition and subtraction from left to right:
- First, addition:
$$ 23 + 45 = 68 $$
- Then, subtraction:
$$ 68 - 27 = 41 $$
- First, addition:
Final Result
Therefore, the value of the expression is 41.
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.)
