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Question 18
Which of the following is not true?
(A) (7+8)+9=7+(8+9)
(B) (7×8)×9=7×(8×9)
(C) 7+8×9=(7+8)×(7+9)
(D) 7×(8+9)=(7×8)+(7×9)


Solution

Let us solve each option and find out which one is not true.

(a) We have, (7+8)+9=7+(8+9)
LHS =(7+8)+9
       =15+9=24
RHS =7+(8+9)
=7+17=24
LHS = RHS
So, it is true.

(b) We have, (7×8)×9=7×(8×9)
LHS =(7×8)×9=56×9=504
RHS =7×(8×9)=7×72=504
 LHS = RHS
So, it is true.

(c) We have,7+8×9=(7+8)×(7+9)
LHS =7+8×9=7+72=79
RHS =(7+8)×(7+9)=15×16=240
79240
 LHS RHS 
So, it is false.

(d) We have, 7×(8+9)=(7×8)+(7×9)
LHS =7×(8+9)=7×17=119
RHS =(7×8)+(7×9)=56+63=119
LHS = RHS
So, it is true.

Hence, the answer is Option (C).

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