CAT Exam

Is the statement given below true or false ? "For every irrational real number a, there are irrational real numbers b and b‟ so that a + b and ab‟ are both rational while ab and a + b‟ are both irrational."
Option
A True
B False
C Cannot say

Read Solution (Total 0)

CAT Other Question

Ravi was standing in the balcony of his top floor pent house, when he slipped and started falling down. Assuming that he was experiencing a free fall, which of the following formulas best models the distance fallen in time t :
A e2t -1
B e5t -1
C e5t
D e2t
New fax machines are to be purchased for the Ministry of Science and Technology. The type 1 fax machine costs Rs. m each and the type 2 fax machine Rs. n each. The type 1 needs "r" m2 of table space and the type 2 "s" m2. Total table space available is "t" m2. At least b of each type must be bought and the total budget must not exceed Rs. A. Which one of these options models the situation mathematically if x is the number of type 1 fax machine and y the number of type 2 fax machine?
Option
A. x = b, y =b xr + sy = t subject to mx + ny = A
B. x >b, y >b xr + sy < t subject to mx + ny = A
C. x = b, y =b xs + ry = t
subject to my + nx = A
D. x > b, y > b (x+y)(r+s)= t subject to (m+n)(r+s) = A