which of the following is NOT true?

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which of the following is NOT true?

by ektamatta » Sun May 25, 2008 7:13 am
If –2<a<11 and 3<b<12, then which of the following is NOT true?
(A) 1<a+b<23
(B) -14<a-b<8
(C) -7<b-a<14
(D) 1<b+a<23
(E) -24<ab<132

OA is C

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by ksh » Sun May 25, 2008 7:53 am
Hi ektamatta,

I think we need to backsolve this problem

from which we can conclude that only c is not true

b-a would give a range from -8 to 14
so, -8<(b-a)<14
which is not in the answer option.