Select the correct set of symbols which will fit in the given equation?
5 0 3 5 = 20
Solving the Equation: 5 _ 0 _ 3 _ 5 = 20
The objective is to find the correct sequence of arithmetic symbols (+, -, x) to replace the blanks in the expression '$5 \quad 0 \quad 3 \quad 5$' so that the equation evaluates to 20.
Evaluating Symbol Options
We will test each option by substituting the symbols and performing the calculations, respecting the order of operations (multiplication before addition/subtraction).
Option 1: Symbols '+', '-', '+'
Calculation: $5 + 0 - 3 + 5$
- $5 + 0 = 5$
- $5 - 3 = 2$
- $2 + 5 = 7$
Result: 7. This is incorrect.
Option 2: Symbols 'x', '+', 'x'
Calculation: $5 \times 0 + 3 \times 5$
- Multiplication first: $5 \times 0 = 0$
- Multiplication next: $3 \times 5 = 15$
- Addition: $0 + 15 = 15$
Result: 15. This is incorrect.
Option 3: Symbols '-', '+', 'x'
Calculation: $5 - 0 + 3 \times 5$
- Multiplication first: $3 \times 5 = 15$
- Equation becomes: $5 - 0 + 15$
- Subtraction: $5 - 0 = 5$
- Addition: $5 + 15 = 20$
Result: 20. This matches the target value.
Option 4: Symbols 'x', 'x', 'x'
Calculation: $5 \times 0 \times 3 \times 5$
- Any multiplication involving 0 results in 0.
- $5 \times 0 = 0$
- $0 \times 3 = 0$
- $0 \times 5 = 0$
Result: 0. This is incorrect.
Conclusion
The set of symbols '-', '+', 'x' correctly solves the equation.
Similar Questions
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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?
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