Which two numbers (not digits) and which two signs should be interchanged to make the following equation valid? 55 × 5 ÷ 1 – 3 + 14 = 0
1, 5 and '+', '-'
To solve this question, we need to find the correct interchange of two numbers and two signs to make the equation \(55 \times 5 \div 1 - 3 + 14 = 0\) valid. Let's analyze the given options:
- Option 1: Interchange 1, 5 and '+', '-'
If we interchange 1 and 5, and '+' and '-', the equation becomes:
\(55 \times 1 \div 5 - 3 + 14 = 0\)
Solving this:
\(11 - 3 + 14 = 22 \neq 0\)
This option is incorrect.
- Option 2: Interchange 1, 3 and '-', '÷'
If we interchange 1 and 3, and '-' and '÷', the equation becomes:
\(55 \times 5 \div 3 - 1 + 14 = 0\)
Solving this:
\(55 \times 5 \div 3 - 1 + 14 \approx 91.67 -1 +14 \approx 104.67 \neq 0\)
This option is incorrect.
- Option 3: Interchange 5, 14 and '-', '×'
If we interchange 5 and 14, and '-' and '×', the equation becomes:
\(55 \times 14 \div 1 - 3 + 5 = 0\)
Solving this:
\(770 - 3 + 5 = 772 \neq 0\)
This option is incorrect.
- Option 4: Interchange 3, 5 and '+', '÷'
If we interchange 3 and 5, and '+' and '÷', the equation becomes:
\(55 \times 5 \div 1 - 5 + 3 = 0\)
Solving this:
\(275 - 5 + 3 = 273 \neq 0\)
This option is incorrect.
Therefore, there must be a mistake in the question or the provided options. None of the options result in a valid equation. A thorough check of the problem and options is recommended.
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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
