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? 19 B 4 D 7 B 8 C 32 D 11 B 2 = ?
This question requires us to solve a mathematical equation where symbols represent different arithmetic operations. We need to substitute the given symbols with their corresponding operators and then evaluate the expression using the correct order of operations (BODMAS/PEMDAS).
Understanding the Symbol Substitution
The provided mapping is:
- 'A' represents division ('÷')
- 'B' represents multiplication ('×')
- 'C' represents addition ('+')
- 'D' represents subtraction ('−')
Applying the Substitutions
The given equation is:
19 B 4 D 7 B 8 C 32 D 11 B 2 = ?
Substituting the symbols according to the given rules, we get:
19 × 4 − 7 × 8 + 32 − 11 × 2 = ?
Evaluating the Expression using BODMAS
The BODMAS rule stands for Bracket, Order, Division, Multiplication, Addition, and Subtraction. We follow this order to solve the expression:
- Multiplication: First, we perform all the multiplication operations from left to right.
- $19 \times 4 = 76$
- $7 \times 8 = 56$
- $11 \times 2 = 22$
76 − 56 + 32 − 22 = ? - Addition and Subtraction: Next, we perform addition and subtraction operations from left to right.
- $76 - 56 = 20$
- $20 + 32 = 52$
- $52 - 22 = 30$
Therefore, the value that comes in place of the question mark is 30.
Final Answer Check
The calculation confirms that the result of the expression is 30.
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.)
