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.
Similar Questions
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2 and 5
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In this type of questions, question is provided with substitutes for various mathematical symbols, followed by a question involving calculation of an expression or choosing the correct/incorrect equation. You have to put the real signs in the given equation and then solve the questions as required.
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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 ‘A’ stands for ‘\(\div \)', ‘B’ stands for ‘x', ‘C’ stands for ‘+', ‘D’ stands for ‘-', what will come in the place of the question mark '?' in the following equation?
225 B 15 A 15 C 125 D 225 = ?
