IIT-JEE Exam

Let Tn be the number of all possible triangles
formed by joining vertices of an n-sided regular
polygon. If Tn+1 – Tn = 10 then the value of n is -
(1) 10 (2) 8 (3) 7 (4) 5

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IIT-JEE Other Question

The number of values of k, for which the system of
equation : (k + 1) x + 8y = 4k, kx + (k + 3) y = 3k –1,
has no solution, is -
(1) 2 (2) 3 (3) infinite (4) 1 At present, a firm is manufacturing 2000 items. It
is estimated that the rate of change of production
P w.r.t. additional number of workers x is given
by
dp/dx = 100 – 12 sqrtx . If the firm employs 25
more workers, then the new level of production of
items is -
(1) 3500 (2) 4500 (3) 2500 (4) 3000