What will come in the place of the question mark (?) in the following equation if '+' and '-' are interchanged and 'x' and '÷' are interchanged?
108 × 2 − 14 ÷ 6 + 27 = ?
To solve this question, we need to follow the instructions and replace the operators as follows:
- Replace '+' with '-'
- Replace '-' with '+'
- Replace '×' with '÷'
- Replace '÷' with '×'
The original equation is:
108 × 2 − 14 ÷ 6 + 27 = ?
After interchanging the operators, the equation becomes:
108 ÷ 2 + 14 × 6 − 27 = ?
Now, we solve this equation using the order of operations (BODMAS/PEMDAS):
- Division: 108 ÷ 2 = 54
- Multiplication: 14 × 6 = 84
- Addition: 54 + 84 = 138
- Subtraction: 138 − 27 = 111
Therefore, the solution to the equation is 111.
This demonstrates a fundamental understanding of arithmetic operations and the ability to manipulate an equation based on given instructions. The step-by-step approach ensures accuracy and clarity in the solution. The consistent application of the order of operations (BODMAS/PEMDAS) is crucial to obtaining the correct result. By carefully replacing the operators and following the order of operations, we arrive at the final answer, which is 111. This problem highlights the importance of understanding operator precedence and correctly applying the instructions given. Remember, a methodical approach to solving such problems is key to avoiding errors. Incorrect operator precedence would lead to an incorrect answer.
Similar Questions
Read the given statements and conclusions carefully. Assuming that the information given in the statement is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
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All chairs are cupboards.
Some chairs are radios.
No chair is piano.
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I. Some radios are cupboards.
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All aero-planes are cars.
All helicopters are cars.
All cars are scooters.
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Some grapes are fruits.
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All bottles are glasses.
All glasses are jugs.
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In the following question below are given some statements followed by some conclusions. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusion logically follows the given statements.
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I. Some pen are black.
II. Some pen are blue.
III. No black is red.
Conclusions:
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III. Some black are pens.In the following question below are given some statements followed by some conclusions. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusion logically follows the given statements.
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I. All cups are plates.
II. All plates are red.
Conclusions:
I. All cups are red.
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III. All red are plates.In the following question below are given some statements followed by some conclusions. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusion logically follows the given statements.
Statements:
I. Some sky are blue.
II. Some blue are soft.
Conclusions:
I. Some sky are soft.
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Important Questions from Syllogism
The statements below are followed by conclusions labeled I, II and III. Assuming that the information in the statements is true, even if it appears to be at variance with generally established facts, decide which conclusion(s) logically and definitely follow(s) from the information given in the statements.
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All twenty are thirty.
All thirty are forty.
All forty are sixty.
All sixty are seventy.
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All Strong are animals.
Some animals are Tigers.
All Tigers are Sharp.
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Some women are weak.
Some weaks are female.
All female are iron.
All iron are gold.Conclusions:
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Some teaspoons are glasses.
All teddies are teaspoons.
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I. Some teddies are glasses.
II. Some glasses are teddies.
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All bangles are rings.
Some rings are toys.
Some toys are dolls.
Conclusions:
I. Some rings are bangles.
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