CAT Exam

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

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CAT Other Question

Assume that a train leaves station A at X am and reaches station B at Y am (Y being >X). The other train leaves station B at R am (Y> R > X) and reaches station A at S am ( S being > Y). Which of the following formula best represents that time at which they would meet?

A Y + {(Y-X) (S-R)}/{(Y-R) + ( S-X)}
B X + {(Y-X) (S-X)}/{(Y-X) + ( S-R)}
C Y + {(Y-X) (S-R)}/{(Y-R) + ( S-X)}
D X + {(Y+X) (S+R)}/{(Y-X) + ( S-R)}
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