By interchanging the given two numbers (not digits) which of the following equation will NOT be correct? 2 and 7 I. \(7 \times 3 + 2 - 6 \div 1 = 9\) II. \(2 \times 8 + 7 - 9 \div 3 = 40\)
Both I and II
Interchange the numbers 2 and 7 in each equation (swap the whole numbers), then check whether the equation still holds using the BODMAS order.
Equation I original: \(7 \times 3 + 2 - 6 \div 1 = 9\). After swapping 2 and 7 it becomes \(2 \times 3 + 7 - 6 \div 1\).
Simplify I: \(6 \div 1 = 6\) and \(2 \times 3 = 6\), so \(6 + 7 - 6 = 7\), which is not equal to 9. Hence I is NOT correct after the swap.
Equation II original: \(2 \times 8 + 7 - 9 \div 3 = 40\). After swapping 2 and 7 it becomes \(7 \times 8 + 2 - 9 \div 3\).
Simplify II: \(9 \div 3 = 3\) and \(7 \times 8 = 56\), so \(56 + 2 - 3 = 55\), which is not equal to 40. Hence II is also NOT correct after the swap.
Both statement I and statement II fail to hold true after interchanging 2 and 7.
Therefore the equations that will NOT be correct are 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?
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X : 649 :: 956 : Y
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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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15 - 3 + 10 x 5 ÷ 5
