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Question

Which of the following mathematical statements are true?

Statement A:215×120120=215

Statement B:57×1120<57

Statement C:45×1120=45

A
Both B and C
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B
Only statement A
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C
Both A and B
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D
Only statement B
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Solution

The correct option is C Both A and B
Rule 1:
When a fraction is multiplied by a fraction of the type nn, then the resulting product will be the same as the original fraction.

Rule 2:
When a fraction is multiplied by a fraction less than 1, then the resulting product will be less than the original fraction

For statement A, we have:

Left Hand Side:215×120120=2×12015×120=2401800=215

Right Hand Side:215

Left Hand Side=Right Hand Side

Statement A is true.

For statement B, we have:

Left Hand Side:57×1120=5×17×120=5840

Right Hand Side:57=5×1207×120=600840

5840<600840

Left Hand Side<Right Hand Side

Statement B is true.

For statement C, we have:

Left Hand Side:45×1120=4×15×120=4600

Right Hand Side:45

460045

Left Hand SideRight Hand Side

Statement C is false.


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