Which two numbers (not digits) should be interchanged to make the given equation correct? 21 × 8 – 18 + (64 ÷ 2) + 32 = 64
To solve this problem, we need to systematically test each option by interchanging the numbers and evaluating the equation. Let's analyze the given equation:
21 × 8 – 18 + (64 ÷ 2) + 32 = 64
Let's evaluate the left-hand side (LHS) using the order of operations (PEMDAS/BODMAS):
- Parentheses/Brackets: (64 ÷ 2) = 32
- Multiplication: 21 × 8 = 168
- Equation becomes: 168 – 18 + 32 + 32 = 274
The LHS (274) does not equal the RHS (64). Let's now test option 2, interchanging 8 and 2:
21 × 2 – 18 + (64 ÷ 8) + 32 = 64
- Parentheses/Brackets: (64 ÷ 8) = 8
- Multiplication: 21 × 2 = 42
- Equation becomes: 42 – 18 + 8 + 32 = 64
Now the LHS equals the RHS. Therefore, interchanging 8 and 2 makes the equation correct.
Let's briefly analyze why the other options are incorrect. Interchanging other numbers would not result in the equation equaling 64. The key is the strategic placement of the numbers to manipulate the equation to a value of 64. The solution requires careful calculation and evaluation of the options.
Similar Questions
The two expressions on either side of the equal sign will have the same value if two numbers on the left-hand side are interchanged and two signs on the right-hand side are interchanged.
What are those two numbers (not digits) and the two signs?
4 × 3 ÷ 6 + 2 - 8 = 10 + 2 × 3 ÷ 5 - 18
- Which of the following equations is correct when the numbers 12 and 6 are interchanged and the signs ÷ and + are interchanged?
Which two numbers (not digits) and which two signs should be interchanged to yield the value ‘zero’ for the following expression?
13 + 65 ÷ 2 × 8 – 21
If 'A' stands for '+', 'B' stands for '-', 'C' stands for 'x' and 'D' stands for '÷', what will come in place of the question mark in the following equation?
7 C 9 B 35 D 5 A 3 = ?
Which option represents the correct order of the given words as they would appear in an English dictionary?
1. Mimic
2. Million
3. Minaret
4. Millstone
5. Mimicry
- At a banquet, every 2 people shared a cake, every 6 people shared a bowl of soup, and every 8 people shared a platter of fruit. There were a total of 42 items. How many people were present at the banquet?
- If + = -, - = *, * = /, / = +;then,
what is 8+ (3-2)* 4/1? If \(+\) means \(-\), \(\div\) means \(+\), \(-\) means \(\times\), and \(\times\) means \(\div\), then,
what is \(25 - 3 \div 5 + 10\)?Which two numbers (not digits) and which two signs should be interchanged to make the following equation correct?
33 – 15 × 4 + 9 ÷ 11 = 6
What will come in place of the question mark (?) in the following equation if ‘+’ and ‘–’ are interchanged and ‘×’ and ‘÷’ are interchanged?
3 ÷ 4 × 2 − 1 + 5 = ?
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
