12 ÷ 9 - 2 × 7 + 3 = 10
The correct option is: 12 ÷ 9 - 2 × 7 + 3 = 10
Let's analyze how the interchange of numbers and signs affects the equation. The original equation (before the interchange) is assumed to be:
12 ÷ 3 - 2 × 7 + 9 = 10
Following the instructions, we interchange the numbers 3 and 9, and the symbols '-' and '×'. The equation becomes:
12 ÷ 9 - 2 × 7 + 3 = x
Now let's solve this modified equation using the order of operations (PEMDAS/BODMAS):
- Division: 12 ÷ 9 = \(\frac{4}{3}\)
- Multiplication: 2 × 7 = 14
- Subtraction: \(\frac{4}{3}\) - 14 = \(\frac{4 - 42}{3}\) = \(-\frac{38}{3}\)
- Addition: \(-\frac{38}{3}\) + 3 = \(-\frac{38 + 9}{3}\) = \(-\frac{29}{3}\)
Clearly, \( -\frac{29}{3} \neq 10\). There appears to be an error in the question or provided options. A correct solution requires the original equation to be solvable and yield a result of 10, then applying the interchanges consistently to produce an equivalent equation (though the numerical result may differ). The problem likely stems from an incorrect premise within the question statement or a mistake in the provided options.
To further clarify, let's assume there is a typographical error in the question. A more reasonable approach would involve systematically testing each option after the substitutions are made and assessing which one simplifies to the same initial outcome, but only if the initial equation is correctly formulated to be solvable.
Similar Questions
Select the option that is related to the third number in the same way as the second number is related to the first number and the sixth number is related to the fifth number.
84 : 196 :: 51 : ? :: 96 : 224
(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.)
- Which option represents the correct order of the given words as they would appear in an English dictionary?
1 Measurement
2 Methodology
3 Merchandise
4 Meaningless
5 Memorabilia Select the option that is related to the third term in the same way as the second term is related to the first term. (The words must be considered as meaningful English words and must not be related to each other based on the number of letters/number of consonants/vowels in the word.)
HORSE: GNQRD :: ANIMAL:?
Select the pair from among the given options that is analogous to the given pair.
3:31
2:12
(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.)
Select the option that is related to the third number in the same way as the second number is related to the first number.
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(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.)
- 325 is related to 30 following a certain logic. Following the same logic, 424 is related to 32. Which of the following numbers is related to 16 using the same logic?
Select the option that is related to the third word in the same way as the second word is related to the first word. (The words must be considered as meaningful English words and must NOT be related to each other based on the number of letters/number of consonants/vowels in the word) Embroidery: Thread :: Knitting:_______________
Select the set in which the numbers are related in the same way as the numbers of the following set.
(13, 57, 111)
(11, 49, 95)
(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.)
Select the option in which the numbers share the same relationship as that shared by the given triad of numbers.
2312 – 62 – 12
Select the triad from among the given options that is analogous to the given triad.
251-332-422
Important Questions from Analogy
Select the option that is related to the third term in the same way as the second term is related to the first term.
Day: Night :: Morning : ?Select the option that is related to the third term in the same way as the second term is related to the first term.
India : Country :: Delhi : ..........Select the option that is related to the third term in the same way as the second term is related to the first term.
MATE: NATE :: FATE: ?Select the option that is related to the third term in the same way as the second term is related to the first term.
13 : 196 :: 9 : .......
Select the related word pair from the given alternatives. Afghanistan : Kabul :: ....... : .........
