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
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
