instruction:
In this task, you need to provide the correct option for a given problem from the provided options.
question:
Problem: there are 76 lights which are functional and each is controlled by a separate on / off switch . two children a and b start playing with the switches . a starts by pressing every third switch till he reaches the end . b , thereafter , presses every fifth switch till he too reaches the end . if all switches were in off position at the beggining , how many lights are switched on by the end of this operation ? 
Options: a ) 28 , b ) 30 , c ) 32 , d ) 34 , e ) 36
answer:
a


question:
Problem: a grocery store bought some mangoes at a rate of 5 for a dollar . they were separated into two stacks , one of which was sold at a rate of 3 for a dollar and the other at a rate of 9 for a dollar . what was the ratio of the number of mangoes in the two stacks if the store broke even after having sold all of its mangoes ? 
Options: a ) 1 : 4 , b ) 1 : 5 , c ) 3 : 2 , d ) 1 : 2 , e ) 2 : 5
answer:
c


question:
Problem: how many terminating zeroes t does 200 ! have ? 
Options: a ) 40 , b ) 48 , c ) 49 , d ) 55 , e ) 64
answer:

c


