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The numbers 2.745 and 2.735 on rounding ...

The numbers 2.745 and 2.735 on rounding off to 3 significant figures will give

A

2.75 and 2.74

B

2.74 and 2.73

C

2.75 and 2.73

D

2.74 and 2.74

Text Solution

Verified by Experts

The correct Answer is:
D

In 2.745, the digit to be rounded of (i.e., 4) is even, hence it should be left unchanged and in 2.735, the digit to be rounded off (i.e., 3) is odd, hence it should be increased by 1, i.e., changed to 4
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Assertion: A number 2.746 rounded off to three significant figures is 2.75, while the number 2.743 would be 2.74. Reason: In rounding off the uncertain digits, the preceding digit is raised by 1 if the insignificant digit to be dropped is more than 5 and is left unchanged if the latter is less than 5.