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Question

The value of 35+76+25+56 is ____.


A
14
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B
2
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C
0
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D
-1
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Solution

The correct option is D -1

Rearranging and grouping the numbers in pairs in such a way that each group contains a pair of rational numbers with same denominators, we have
35+76+25+56
=35+(76+25)+56
=35+(25+76)+56 
[Since addition of rational numbers is commutative]
=35+25+76+56 
=(35+25)+(76+56)
[Since addition of rational numbers is associative]
=3+25+(7)+(5)6=55+(12)6=1+(2)=1


Mathematics

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