If 'A' means '+', 'B' means '−', 'C' means '÷' and 'D' means '×', then which of the following equation is correct? I. 45 A 13 B 38 C 19 D 6 = 46 II. 13 A 47 B 36 C 4 D 5 = 15
Both I and II
This is a symbol-substitution question with two equations to verify, so replace the letters first and then simplify each side using BODMAS.
The code is A = +, B = −, C = ÷ and D = ×.
Equation I, \(45\ A\ 13\ B\ 38\ C\ 19\ D\ 6\), becomes \(45 + 13 - 38 \div 19 \times 6\).
Doing division and multiplication first: \(38 \div 19 = 2\) and \(2 \times 6 = 12\), so it is \(45 + 13 - 12 = 46\), matching the given value, so I is correct.
Equation II, \(13\ A\ 47\ B\ 36\ C\ 4\ D\ 5\), becomes \(13 + 47 - 36 \div 4 \times 5\).
Here \(36 \div 4 = 9\) and \(9 \times 5 = 45\), so it is \(13 + 47 - 45 = 15\), matching the given value, so II is correct.
Since each equation simplifies exactly to its stated result, both hold true.
Hence the answer is Both I and II.
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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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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.)
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