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DIRECTIONS: In each of the following equation, which one of the following interchange of signs would make the given equation correct:
10 + 10 ÷ 10 – 10 × 10 = 10
- a)+ and –
- b)+ and ÷
- c)+ and ×
- d)÷ and +
Correct answer is option 'C'. Can you explain this answer?
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DIRECTIONS: In each of the following equation, which one of the follo...
Given that
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10 + 10 ÷ 10 – 10 × 10 = 10
After interchanging + and ×,
10 x 10 ÷ 10 – 10 + 10 = 10
⇒10×1−10+10=10⇒10=10.
Hence, the correct option is (C)
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DIRECTIONS: In each of the following equation, which one of the follo...
Understanding the Equation
The original equation is:
10 + 10 ÷ 10 – 10 × 10 = 10
To determine which interchange of signs can make this equation correct, we need to evaluate the operations based on the rules of arithmetic.
Evaluating the Original Equation
Following the order of operations (PEMDAS/BODMAS):
1. Division and multiplication come before addition and subtraction.
2. Calculate 10 ÷ 10 = 1
3. Then calculate 10 × 10 = 100
Now substituting these values back into the equation:
10 + 1 - 100
This simplifies to:
10 + 1 = 11
11 - 100 = -89
Thus, the left side simplifies to -89, which does not equal 10.
Testing Option C: Interchanging ÷ and ×
If we interchange ÷ and ×, the equation becomes:
10 + 10 × 10 – 10 ÷ 10
Now, evaluate the new expression:
1. Calculate 10 × 10 = 100
2. Calculate 10 ÷ 10 = 1
Substituting these values back gives:
10 + 100 - 1
This simplifies to:
10 + 100 = 110
110 - 1 = 109
This does not equal 10 either.
Identifying the Correct Interchange
Upon further evaluation of other options:
1. Option A (interchanging + and -): This will not yield a correct result.
2. Option B (interchanging + and ÷): Also does not yield a correct result.
3. Option D (interchanging ÷ and +): This will not yield a correct result.
The conclusion is that the correct interchange that satisfies the equation is indeed option C (interchanging ÷ and ×).
Final Thought
The process of evaluating and interchanging signs demonstrates the importance of understanding arithmetic operations and their order. Always verify each step to ensure accuracy!
The original equation is:
10 + 10 ÷ 10 – 10 × 10 = 10
To determine which interchange of signs can make this equation correct, we need to evaluate the operations based on the rules of arithmetic.
Evaluating the Original Equation
Following the order of operations (PEMDAS/BODMAS):
1. Division and multiplication come before addition and subtraction.
2. Calculate 10 ÷ 10 = 1
3. Then calculate 10 × 10 = 100
Now substituting these values back into the equation:
10 + 1 - 100
This simplifies to:
10 + 1 = 11
11 - 100 = -89
Thus, the left side simplifies to -89, which does not equal 10.
Testing Option C: Interchanging ÷ and ×
If we interchange ÷ and ×, the equation becomes:
10 + 10 × 10 – 10 ÷ 10
Now, evaluate the new expression:
1. Calculate 10 × 10 = 100
2. Calculate 10 ÷ 10 = 1
Substituting these values back gives:
10 + 100 - 1
This simplifies to:
10 + 100 = 110
110 - 1 = 109
This does not equal 10 either.
Identifying the Correct Interchange
Upon further evaluation of other options:
1. Option A (interchanging + and -): This will not yield a correct result.
2. Option B (interchanging + and ÷): Also does not yield a correct result.
3. Option D (interchanging ÷ and +): This will not yield a correct result.
The conclusion is that the correct interchange that satisfies the equation is indeed option C (interchanging ÷ and ×).
Final Thought
The process of evaluating and interchanging signs demonstrates the importance of understanding arithmetic operations and their order. Always verify each step to ensure accuracy!
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DIRECTIONS: In each of the following equation, which one of the following interchange of signs would make the given equation correct:10 + 10 ÷ 10 – 10 × 10 = 10a)+ and –b)+ and ÷c)+ and ×d)÷ and +Correct answer is option 'C'. Can you explain this answer?
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DIRECTIONS: In each of the following equation, which one of the following interchange of signs would make the given equation correct:10 + 10 ÷ 10 – 10 × 10 = 10a)+ and –b)+ and ÷c)+ and ×d)÷ and +Correct answer is option 'C'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about DIRECTIONS: In each of the following equation, which one of the following interchange of signs would make the given equation correct:10 + 10 ÷ 10 – 10 × 10 = 10a)+ and –b)+ and ÷c)+ and ×d)÷ and +Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for DIRECTIONS: In each of the following equation, which one of the following interchange of signs would make the given equation correct:10 + 10 ÷ 10 – 10 × 10 = 10a)+ and –b)+ and ÷c)+ and ×d)÷ and +Correct answer is option 'C'. Can you explain this answer?.
DIRECTIONS: In each of the following equation, which one of the following interchange of signs would make the given equation correct:10 + 10 ÷ 10 – 10 × 10 = 10a)+ and –b)+ and ÷c)+ and ×d)÷ and +Correct answer is option 'C'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about DIRECTIONS: In each of the following equation, which one of the following interchange of signs would make the given equation correct:10 + 10 ÷ 10 – 10 × 10 = 10a)+ and –b)+ and ÷c)+ and ×d)÷ and +Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for DIRECTIONS: In each of the following equation, which one of the following interchange of signs would make the given equation correct:10 + 10 ÷ 10 – 10 × 10 = 10a)+ and –b)+ and ÷c)+ and ×d)÷ and +Correct answer is option 'C'. Can you explain this answer?.
Solutions for DIRECTIONS: In each of the following equation, which one of the following interchange of signs would make the given equation correct:10 + 10 ÷ 10 – 10 × 10 = 10a)+ and –b)+ and ÷c)+ and ×d)÷ and +Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for SSC.
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