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
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
