Test Your IQ: How many cats will be needed to kill 100 rats in 50 minutes

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If 7 cats kill 7 rats in 7 minutes, how many cats will be needed to kill 100 rats in 50 minutes.
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Answer: 14 Cats
Method 1:

7 cats kill 7 rats in 7 min (given)
=>1 cat kill 7 rats in 49 min (1 cat; same no     
                                                    rats)
=>1 cat kill 1 rat in 7 min (1 cat ; 1 rat)
=>1 cat kill 100 rats in 700 min (1 cat ; 100 rats)

we have 50 minutes, then the number of cats we need is
=>1 cat kill 100 rats in 14*50 min
=>14 cats kill 100 rats in 50 min

Method 2

(C1*T1) / R1 = (C2*T2)/R2

Here
C = Cat
R = Rat
T = Time

(7*7)/7 = (C2*50)/100
=> 7 = (C2*50)/100
=> C2 = (7 *100)/50 = 14 Cats
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