Latest TCS Aptitude Question SOLUTION: If z is the product of all integers from 1 to 50, inclusive, what is the greatest integer x for which 5x is a factor of z?

• Placement Papers
• /
• TCS

TCS Question Papers: TCS Interview Experience(90) TCS Company Profile

(#M40012558) TCS question Keep an EYE

If z is the product of all integers from 1 to 50, inclusive, what is the greatest integer x for which 5x is a factor of z?

Asked In TCS sathyapriya (11 years ago)

Unsolved Read Solution (7)

Is this Puzzle helpful?   (13)   (2) Submit Your Solution

Read Solution (7) :

shalini pasala  (11 years ago)

all the multiples of 5 should be written as a product of prime no's:
5
10=5*2
15=5*3
20=5*2*2
25=5*5
30=5*2*3
35=5*7
40=5*2*2*2
45=5*3*3
50=5*5*2
so total no of 5's from 1-50 are 12 so the greatest integer can be 12

Is this solution Helpfull? Yes (18) | No (1)  

sathyapriya  (11 years ago)

To solve this, we must find the factors of 5 contained in z. They are: 5, 10 (5 * 2), 15 (5 * 3), 20 (5 * 4), 25(5 * 5), 30 (5 * 6), 35 (5 * 7), 40 (5 * 8), 45 (5 * 9), and 50 (5 * 5 * 2). Thus, we know there are 11 factors of 5 in p (don’t forget to count both 5’s in 25 and 50!). As a result, x must be 11.

Is this solution Helpfull? Yes (16) | No (14)  

geetha  (11 years ago)

NO.OF 5'S IN 50!=12=>X SHOULD BE 5^11

Is this solution Helpfull? Yes (7) | No   

kavita sharma  (11 years ago)

no of 5 in 50! are 12

so x should be 5^11

Is this solution Helpfull? Yes (4) | No (1)  

goldy  (11 years ago)

Answer should be x=5^11.......

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

Rajat Dadhich  (11 years ago)

But there are 12 5s in 50!????
Kindly xplain the soln

Is this solution Helpfull? Yes | No (4)  

vinod kumar  (11 years ago)

the power of 5 is 12 and we get x as 12 when it is in the form of 5^x but here 5x hence the value of x is 10^11*2 since we should take power of 2 so that no of zeros are 10^12

Is this solution Helpfull? Yes | No (7)  

Please Login to Read Solution.