If '+' means '-', '-' means 'x', 'x' means '÷' and '÷' means '+', then what will come in place of the question mark (?) in the following equation? $32 ÷ 14 + 16 - 8 \times 4 = ?$
This is a coding-decoding question based on mathematical operations.
Step 1: Replace the symbols
The question states that:
- '+' means '-'
- '-' means 'x'
- 'x' means '÷'
- '÷' means '+'
Replacing the symbols in the given equation \(32 ÷ 14 + 16 - 8 \times 4 = ?\), we get:
\(32 + 14 - 16 \times 8 ÷ 4 = ?\)
Step 2: Apply the order of operations (BODMAS/PEMDAS)
Following the order of operations (Division, Multiplication, Addition, Subtraction), we calculate:
- Division: \(8 ÷ 4 = 2\)
- Multiplication: \(16 \times 2 = 32\)
- Addition: \(32 + 14 = 46\)
- Subtraction: \(46 - 32 = 14\)
Step 3: Determine the answer
Therefore, the result of the equation is 14.
Step 4: Eliminate incorrect options
Options 2 (18), 3 (16), and 4 (22) are incorrect because they do not match the calculated result of 14. They would result from incorrect application of the order of operations or incorrect symbol replacement.
Final Answer: 14
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.)
