If 420 ! 21 * 201 = -181 and 728 ! 26 * 905 = -877, then what is the value of 56 ! 2 * 367?
-339
This is a symbol-substitution problem: the unfamiliar signs stand for ordinary arithmetic operations, which we identify by forcing the given equations to be true.
Try replacing \(!\) with division \((\div)\) and \(*\) with subtraction \((-)\).
First equation: \(420 \div 21 - 201 = 20 - 201 = -181\), which matches the given result.
Second equation: \(728 \div 26 - 905 = 28 - 905 = -877\), which also matches, confirming the code.
So the decoded rule is: (first number) \(\div\) (second number) \(-\) (third number), following the normal order of operations where division is done before subtraction.
Apply it to the required expression: \(56 \div 2 - 367\). First \(56 \div 2 = 28\).
Then \(28 - 367 = -339\).
The concept used is operation-decoding by verifying against sample equations. Hence the required value is -339.
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By interchanging the given two numbers (not digits) which of the following equation will NOT be correct?
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If 'A' means '+', 'B' means '−', 'C' means '÷' and 'D' means '×', then which of the following equation is correct?
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After interchanging the given two numbers (not digits), what will be the value of the given equation?
7 and 6
\(4 \times 7 + 6 - 9 \div 3 = ?\)
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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.
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(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 :: ?
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X : 649 :: 956 : Y
Which two numbers should be interchanged to make the given equation correct?
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(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:
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