Select the correct combination of mathematical signs to sequentially replace the * signs and to balance the given equation. 321 * 3 * 236 * 5 * 248 * 4 * 20 = 384
+, -, ×, +, ÷, ×
The objective is to find the correct sequence of mathematical signs to replace the asterisks (*) in the given equation, ensuring the equation is balanced and evaluates to the target value.
Balancing the Equation: Finding the Correct Sign Combination
We are given the equation:
321 * 3 * 236 * 5 * 248 * 4 * 20 = 384
We need to replace each asterisk (*) with one of the signs: '+', '-', '×', or '÷' in the correct sequence. The key to solving this is to apply the standard order of operations (often remembered by PEMDAS/BODMAS).
- Parentheses/Brackets
- Exponents/Orders
- Multiplication and Division (from left to right)
- Addition and Subtraction (from left to right)
Let's test the provided options by substituting the signs and evaluating the expression.
Evaluating Option 1: +, -, ×, +, ÷, ×
Substitute the signs from Option 1 into the equation:
321 + 3 - 236 × 5 + 248 ÷ 4 × 20
Now, let's evaluate this expression step-by-step following the order of operations:
- Multiplication and Division (from left to right):
- First multiplication:
236 × 5 = 1180 - Division:
248 ÷ 4 = 62 - Second multiplication:
62 × 20 = 1240
The expression now becomes:
321 + 3 - 1180 + 1240 - First multiplication:
- Addition and Subtraction (from left to right):
321 + 3 = 324324 - 1180 = -856-856 + 1240 = 384
The final result is 384, which matches the right-hand side of the original equation. Therefore, this combination of signs correctly balances the equation.
Conclusion on Correct Combination
By systematically applying the order of operations, we found that the sequence '+, -, ×, +, ÷, ×' successfully balances the equation.
The correct combination of mathematical signs to sequentially replace the asterisks is:
+, -, ×, +, ÷, ×
This confirms that Option 1 is the correct answer, as it provides the sequence of operators that makes the left side of the equation equal to the right side (384).
Similar Questions
Read the given statements and conclusions carefully. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. You have to decide which conclusion/s logically follow/s from the given statements.
Statements:
All beaches are sand.
Some deserts are sand.
All mountains are rocky.
Conclusions:
(I) At least some beaches are desert.
(II) At least some sands are rocky.
Select the correct combination of mathematical signs that can sequentially replace the * signs and balance the given equation.
256 * 4 * 9 * 3 * 14 = 51
Select the correct combination of mathematical signs to sequentially replace the * signs and balance the given equation.
86 * 54 * 34 * 68 * 2 * 33
Which two signs should be interchanged to make the given equation correct?
60 × 4 + 9 ÷ 3 - 8 = 34
If '+' means 'division', '-' means 'multiplication', '÷' means 'addition' and '× ' means 'subtraction', then what is the value of the following expression?
14 - 4 ÷ 133 + 7 × 17
Which two signs should be interchanged to make the given equation correct?
625 ÷ 25 + 7 × 318 - 112 = 381
Select the correct combination of mathematical signs to sequentially replace the * signs and to balance the given equation.
5 * 23 * 24 * 4 * 10 * 111
Which of the following interchanges of signs would make the given equation correct?
100 + 100 × 50 - 2 ÷ 3 = 51
Which of the following interchange of numbers and signs would make the given equation correct?
24 × 9 + 6 ÷ 24 - 18 = 22
Select the correct combination of mathematical signs that can sequentially replace the * signs and balance the given equation.
11 * 13 * 238 * 17 * 34 = 123
Important Questions from Logical Puzzle
If ‘A’ denotes ‘addition’, ‘B’ denotes ‘subtraction’, ‘C’ denotes ‘multiplication’ and ‘D’ denotes ‘division’, then what will be the value of the following expression?
6 C (57 B 8) D 7 B 32 A 9
If, 5 + 7 = 47, 3 + 8 = 35, 9 + 2 = 29 then 7 + 4 = ?
Which two signs need to be interchanged to make the following equation correct?
63 ÷ 21 – 7 + 28 × 3 = 144
If ‘–’ stands for ‘÷’, ‘+’ stands for ‘×’, ‘÷’ stands for ‘–’ and ‘×’ stands for ‘+’, then 80 – 20 + 10 ÷ 8 × 10 is equal to:
Which two signs need to be interchanged to make the given equation correct?
3 ÷ 2 - 4 × 5 + 5 = 1
