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Question

Re-arrange suitably and find the sum of the following
−47+76+27+3+−116.

A
4321
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B
4342
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C
2342
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D
2321
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Solution

The correct option is C 4321
Re-arranging and grouping the numbers in pairs in such a way that each group contains a pair of rational numbers with equal denominators, we have

47+76+27+3+116
=(47+27)+(76+116)+3

=(4)+27+7+(11)6+3=27+(4)6+3
=(2)7+(2)3+3[46=23]

=((2)7+(2)3)+3
=(2)×3+(2)×721+3=(6)+(14)21+3

=(20)21+31=(20)+3×2121
=(20)+6321=4321

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