5).

The number of integers n that satisfy the inequality $open vertical bar n minus 60 close vertical bar$ < $open vertical bar n minus 100 close vertical bar$ < $open vertical bar n minus 20 close vertical bar$ is

Explanation

The inequality $open vertical bar n minus 60 close vertical bar$ < $open vertical bar n minus 100 close vertical bar$ holds good if n < 80.

The inequality $open vertical bar n minus 100 close vertical bar$ < $open vertical bar n minus 20 close vertical bar$ holds good if n > 60.

Combining both n < 80 and n > 60

Thus, n may take values from 61 to 79, i.e., 19 integers.

Ans (4)

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CAT-2021-QA-Slot-1/Free CAT Question papers

Explanation

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