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Question 1: A
statement 1 => k > 1 (sufficient)
statement 2 => k > -1 (not sufficient since if k = -0.5, 1/k is -ve)
Question 2: B
statement 1 => not sufficient
statement 2 => |a| + |b| > |a+b|. THis is possible only if one of the value is positive and the other is negative.
Question 3: E
statement 1 => not suff
statement 2 => not suff
1 and 2 together yield two different sets of values for a and b.
Hence, E is the answer (neither statement is sufficient)
1. OA is A , but what i still dont get is how k>1 in the first statement and why doesnt the same logic hold true for statement 2 as explained by Wilfred
2.OA is B, but i did not understand why you used the absolute value sign, the number line properties are beyond me, is there any useful site where there is detailed explaination for number line concepts