Latest TCS Aptitude Question SOLUTION: Find the number of zeros in the expression 15*32*25*22*40*75*98*112*125. A. 9 B. 7 C. 14 D. 12

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(#M40019714) TCS Logical Reasoning question Keep an EYE

Find the number of zeros in the expression 15*32*25*22*40*75*98*112*125.
A. 9
B. 7
C. 14
D. 12

Asked In TCS asxa asxaxax (10 years ago)

Unsolved Read Solution (26)

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Read Solution (26) :

Anmol Modi  (10 years ago)

(3*5)*(2^5)*(5^2)*(11*2)*(5*2^3)*(3*5^2)*(49*2)*(7*2^4)*(5^3)
so no of 5 = 9
& no of 2=14
as 5*2=10
that's why no of zero=9

Is this solution Helpfull? Yes (67) | No (13)  

vishnu vardhan  (10 years ago)

we will get a zero for one (5*2)
15=5*3
32=2*2*2*2*2
25=5*5
22=2*11
40=2*2*2*5
75=3*5*5
98=2*7*7
112=2*2*2*2*7
125=5*5*5
therefore no. of pairs [5*2] are 9 . therefore total no. of zeros are 9

Is this solution Helpfull? Yes (57) | No (3)  

Narendra Pargain  (10 years ago)

Number of zeros is depend on (5*2) ...
here no. of 2 > no. of 5..
so no. of zeros depend on no. of 5..
Checking no. of 5..
Number No. of 5
15 1
25 2
40 1
75 2
125 3
So no. of zeros will be 9.. :)

Is this solution Helpfull? Yes (29) | No (4)  

GOWRABATHUNI RAJESH  (9 years ago)

in the above numbers the 5 are obtained as

15-one 5
25-two 5's
40-one 5
75-two 5's
125-three 5's

here the total number of 5's is 9
so total number of 0's can be formed as 9.

Is this solution Helpfull? Yes (6) | No   

aman kumar tiwari  (10 years ago)

here factorize no in term of 5 ther have total no of 5 is 9 then the answer is5
A is answer

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

santosh bagathi  (9 years ago)

[3*2]*[2*2*2*2*2]*[5*5]*[11*2]*[2*2*5]*[3*5*5]*[2*7*7]*[7*2*2*2*2]*[5*5*5]

total number of pairs of (2,5) equals total number of zeros

= 8

Is this solution Helpfull? Yes (2) | No (3)  

Shefali Gupta  (8 years ago)

We have to count only the numbers of 5 in each digit!
so 15=5*3-->1
25=5*5-->2
40=5*8-->1
75=5*5*3-->2
125=5*5*5-->3
so total number of 5=(1+2+1+2+3)=9--->number of zeroes=9!

Is this solution Helpfull? Yes (2) | No   

SHIVANI PRAKASH  (10 years ago)

no. of zeros in any expn. depends on the no. of 5*2 pairs......nd we knw the no. of 2's is always > the no. of 5's thus no. of zeros depends on the no. of 5's in the expn. thus from the above expn. we get 9 5's thus no. of zeros is 9

Is this solution Helpfull? Yes (1) | No (2)  

nisha sengar  (10 years ago)

a will b the answer

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khushboo bansal  (10 years ago)

ans is 9. the possible combination of 2 and 5 is only 9 which produces zeros.

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richa ahuja  (10 years ago)

9
no of zeros=no of pairs of (2*5)

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

Kundan Kumar  (10 years ago)

Factorize in terms of multiple of 2 and 5 as far as possible and now count the number of 2 and 5. The number of 2 and 5 will form a zero. Here 9 is the answer

Is this solution Helpfull? Yes | No (1)  

MOHIT KUMAR  (10 years ago)

answew is9

Is this solution Helpfull? Yes | No (2)  

vinay kumar  (10 years ago)

no. of 2>no. of 5
14>9
and 2*5=10
so, ans is 9.

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ShAg  (10 years ago)

ans-A
because we are getting 9 combinations of 5*2 on breaking the above equation.

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Ravi Kant Sharma  (10 years ago)

as there are total nos of 5 is 9 so 5*2 gives 0 that is why with the help of 5 we can say probability of 0 is 9....
9

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SHIVANI PRAKASH  (10 years ago)

no. of zeros=no. of 5's....
ie. 9

Is this solution Helpfull? Yes | No (2)  

priya paul  (8 years ago)

15*32*25*22*40*75*98*112*125
=(15*32)*(25*22)*(40)*(75*98)*(112*125)
=480 * 550 * 40 * 7350 * 14000
= 264000 * 40 * 102900000
= 264* 100 * 4 * 10 * 1029 * 100000
= 264*4*1029* 10^8

So total 8 zeroes.

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srikar  (8 years ago)

multi of 5's and 2's is
5's=9
2's=14
5*2=10
total how many 5 is there in the above eq is 9
A is the ans

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swaroop  (8 years ago)

option a
5^9* 2^14, so we get 9 zeros

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riya singh  (8 years ago)

5*3*4*8*5*5*2*11*2*10*5*5*52*49*56*2*5*5*5

cobinations give 0
5*4,8*5 ,5*2,10,2*5,5*52,56*5,2*5 =9 zeros

Is this solution Helpfull? Yes | No (1)  

shashank reddy  (8 years ago)

multiply in the calculator and you will get the below number
1086624000000000
so, there are totally 10 zeros
(why everyone answered "9" i don't understand,please enlighten me)

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manojkumar  (8 years ago)

A:9
multiply last two digits of number

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saurav shekher  (6 years ago)

See, the number of zeroes at the end of any number/product depend on the number of times 1010 occurs in its factorization.

Therefore, to find zeroes at the any product we can simply find 1010 in its product.

Since 10=2∗510=2∗5, we can further simply our task to finding number of pairs of 22 and 55 in our product.

That being said, our product can be written as 15∗32∗25∗40∗75∗98∗112∗12515∗32∗25∗40∗75∗98∗112∗125
=213∗32∗59∗73=213∗32∗59∗73

We clearly have 1313 number of 22 and 99 of 55.

Given that, we can make maximum 99 pairs of 22 and 55. This means, we have 99 times 1010 in our multiplaction. Which means we will have 99 zeroes at the end of the given product.

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  (6 years ago)

A. 9

There are 9 pairs of (5*2) in the given expression.
e.g. 75=5*15

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Supriya Manda  (4 years ago)

No of fives in the abv expression=9.

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