Latest TCS Aptitude Question SOLUTION: #6.find the number of zeroes in 1^1*2^2*3^3...48^48*49^49?

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#6.find the number of zeroes in 1^1*2^2*3^3...48^48*49^49?

Asked In TCS (11 years ago)

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anjana gupta  (11 years ago)

since only the product of 5*2 results a 0
so we have to count no of 5's as well as no of 2's.
we also know the no of 5's will be less than the no of 2's
so we will count only the 5's...
thus 5^5*10^10*15^15*20^20*25^25*30^30*35^35*40^40*45^45 gives
(5+10+15+20+25+25+30+35+40+45)=250 5's
thus total no of 0's will be 250.

Is this solution Helpfull? Yes (49) | No (1)  

vibhumishra  (11 years ago)

just count the no of 5 in qus bcoz no. of 5 is less than no.of 2 and every 5*2=10
so 5^5,(5*2)^10,(5*3)^15,20^20,25^25,30^30,35^35,40^40,45^45=225

Is this solution Helpfull? Yes (5) | No (11)  

kodali kranthi  (11 years ago)

ans 250 ...the guyz who got 225 did a mistake at 25^25

Is this solution Helpfull? Yes (5) | No (1)  

Md Shahnawaz Shahab  (11 years ago)

250 zeroes is the right ans....we just have to calulate the number of 5 in the above expression...

Is this solution Helpfull? Yes (2) | No (2)  

DHRUV KUMAR  (11 years ago)

TOTAL 100 ZERO'S due to the zeros are come from 10^10,20^20,30^30,40^40
so we get 10,20,30,40 zreo resp.
the total zero will be 100 zero.

Is this solution Helpfull? Yes (1) | No (7)  

Mita Pan  (11 years ago)

5^5,10^10,15^15,20^20,25^25,30^30,35^35,40^40,45^45 ..
5+10+15+20+25+30+35+40+45=225 zeros will be there

Is this solution Helpfull? Yes (1) | No (6)  

poonam  (11 years ago)

5*5, 10*10, 15*15, 20*20, 25*25, 30*30, 35*35, 40*40, 45*45

5+10+15+20+25+30+40+45
225 zeros will be

Is this solution Helpfull? Yes | No (1)  

Arsha hasan  (9 years ago)

ans 250
total number of 5's present
5+10+15+20+(25+25)+30+35+40+45=250

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