CAT 2022 Slot 3 Paper

Question : 56 of 66

Marks: +1, -0

The lengths of all four sides of a quadrilateral are integer valued. If three of its sides are of length 1 cm, 2 cm and 4 cm, then the total number of possible lengths of the fourth side is

Validate

Solution:

Sum of the three sides of a quadrilateral is greater than the fourth side.
Therefore, let the fourth side be

1+2+4> {\d}

{\d}< 7

1+2+ \d>4

\d>1

Possible values of

d

are

2,3,4,5

and 6 .

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