CAT Exam

Q. The three sides of a right-angled triangle have integral lengths and also form an arithmetic progression. A possible length of one of the sides is

Option
(1) 22
(2) 91
(3) 82
(4) 56

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CAT Other Question

Mohan is a carpenter who specialises in making chairs. For every assignment he undertakes, he charges his commission and cost. His commission is fixed and equals Rs.560 per assignment while the cost equals Rs.2n² where n is the total number of chairs he makes. If for a certain assignment the average cost per chair is not more than Rs.68 then the minimum and maximum possible number of chairs in the assignment are, respectively.

Option
(1) 13 and 19
(2) 13 and 20
(3) 14 and 19
(4) 14 and 20
If y = min {(x + 1), |5-3x|}, what is the range of x for which the value of y decreases continuously as x increases?
(1) 1 x 5/3
(2) 1 x 5/3
(3) 5/3 x 1
(4) 5/3 x 1