Previous Year Paper
CAT-2003-Previous Years Paper
In a coastal village, every year floods destroy exactly half of the huts. After the flood water recedes, twice the number of huts destroyed are rebuilt. The floods occurred consecutively in the last three years—2001, 2002 and 2003. If the floods are expected again in 2004, the number of huts expected to be destroyed is
|A||Less than the number of huts existing at the beginning of 2001|
|B||Less than the total number of huts destroyed by the floods in 2001 and 2003|
|C||Less than the total number of huts destroyed by the floods in 2002 and 2003|
|D||More than the total number of huts built in 2001 and 2002|
Let the number of huts before the floods in 2001 be = 32.
∴ Huts destroyed = = 16 and rebuilt = 32.
∴ Total huts after floods in 2001 = 16 + 32 = 48
Similarly, in 2002, the destroyed huts = 24
Rebuilt = 48
Total = 24 + 48 = 72
Similarly, in 2003, the destroyed huts = 36
Rebuilt = 72
Total = 36 + 72 = 108.
∴ Checking with choices the answer is (c).