What is the number of zeros of the product of the first 100
numbers ?
Answers were Sorted based on User's Feedback
Answer / cnu
24.
exp: 0 is formed by multiplying 5 with 2. so first we find
how many 5's and 2's are there in 100!.
No of 5's : 100/5=20/5=4/5.
20 +4 =24.
No of 2's : 100/2=50/2=25/2=12/2=6/2=3/2=1/2.
50 +25 +12 +6 +3 +1.
It has 24 5's and 2's.
so the no. of zeros=24.
| Is This Answer Correct ? | 26 Yes | 0 No |
Answer / sumit
It will be minimum of power of 2 and 5 as product of 2 and 5
makes 10.
Power of 2 in this case 94
Power of 5 in this case 24
So answer is 24
| Is This Answer Correct ? | 15 Yes | 0 No |
Answer / daya
the product of (even number) and 5 results in "0" of unit's
place.
no. of 5's from 1 to 100 = 100/5 = 20
but in 25, 50, 75 and 100, there is one more 5
25 = 5*5*1
50 = 5*5*2
75 = 5*5*3
100= 5*5*4
four 5's extra
therefore no. 0f F's = 20+4 = 24
| Is This Answer Correct ? | 8 Yes | 1 No |
Answer / rashmi
The product of the first 100 numbers is
933262154439441000000000000000000000000000000000000000000000
000000000000000000000000000000000000000000000000000000000000
00000000000000000000000000000000000000.
so the number of zeros of the product of the first 100
numbers is 143.
| Is This Answer Correct ? | 5 Yes | 0 No |
Answer / praveen
if it is 0*1*2........*100 clearly answer is 1;if 4m
1*2*....100 answer is 24
| Is This Answer Correct ? | 9 Yes | 5 No |
Answer / deepak
Any Number N you want to find the number of zeros in
product expand it in Standard form say for example
(22*25*20*11)=(2*11)*(5*5)*(2*5*2)*(11)
No of 2's= 3
No of 5's= 3 as 2*5=10 so there are 3 combinations of 2*5
so totaly 3 zeros.
For Fafctorial just use this 100! = [100/5]+[100/25]=20+4=24
| Is This Answer Correct ? | 4 Yes | 0 No |
Answer / davinder
http://www.calculatorpro.com/calculator/factorial-calculator/
100! = 93,326,215,443,944,102,188,325,606,108,575,267,240,944,254,854,960,571,509,166,910,400,407,995,064,242,937,148,632,694,030,450,512,898,042,989,296,944,474,898,258,737,204,311,236,641,477,561,877,016,501,813,248
| Is This Answer Correct ? | 1 Yes | 0 No |
Find the reminder when 333666777888999 divided by 3 or 9 or 11 ?
A car is filled with four and half gallons of oil for full round trip. fuel is taken 1/4 gallons mor3 in going than coming. what is the fiel consumed in coming up?
what is 0.350 0.425 and 0.075 what is the answer and show your work
1,2,4,8,16,....,64,128,....,512
Four of the following five are alike in a certain way and hence form a group. Which one of the following does not belong to that group? (a) 63 (b) 64 (c) 39 (d) 48 (e) 79
I am writing the APSRTC OUT post.so i dont know the managerial aptitude.If any one know about this or refer any book, please give the information to my Mail id is narayanansg@gmail.com
5) Failure to use null indicator variable when referencing a nullable column will give the following SQLCODE a) +150 b) –001 c) +276 d) +305
How many four digit numbers can be formed using the digits 1, 2, 3, 4, 5 (but with repetition) that are divisible by 4? Can you help Alok find the answer? a) 100 b) 125 c) 75 d) 85
A cloth merchant claims to sell is material at cost price but uses a scale which reads 1 meter for every 95 centimeter. Find the gain percent?
Q1). The length of rectangle is increased by 15% and its breadth is decreased by 15%. The are of new rectangle is a) Decreased by 15% b) Decreased by 2.25% c) Increased by 15% d) Increased by 2.25% e) Neither increased nor decreased Q2). Two trains are running at 60 km/hr and 40 km/hr in the same direction. Fast train completely passes the man sitting in the slow train in 36 seconds. The length of the fast train is a) 200m b) 160m c) 240m d) 180m e) Cannot be determined Q3). A,B and C can complete a piece of work in 10 days, then how many people are required to finish the whole work in 25 days? a) 10 days b) 15 days c) 20 days d) 22 days e) 25 days Q4). 12 persons can do 3/5 of certain work in 10 days, then how many persons are required to complete the whole work in 25 days? a) 10 b) 9 c) 8 d) 7 e) 6 Q5). In an organization, 30% of the employees are matriculates, 60% of the remaining are graduates and the remaining 140 are post-graduates. How many employees are graduates? a) 210 b) 280 c) 350 d) 160 e) None of these Q6). If x: y = 3:4, then (2x+3y): (3y-2x) = a) 2:1 b) 4:1 c) 3:2 d) 5:3 e) 3:1 Q7). A mixture of 50 litres of milk and water contain 10% of water. How much water must be added to make water 20% in the given mixture? a) 5.5 litres b) 6.5 litres c) 6 litres d) 6.25 litres e) 6.75 litres Q8). A dealer marks his goods 25% above cost price. He then allows some discount on it and makes a profit of 9%. The rate of discount is a) 11.4% b) 12.8% c) 13.4% d) 14.2% e) 15.1% Q9). A number lying between 1000 and 2000 is such that on division by 2,3,4,5,6,7 and 8 leaves remainders 1,2,3,4,5,6 and 7 respectively. The number is a) 1726 b) 1822 c) 1548 d) 1922 e) 1679 Q10). Three years ago the average of a family of 5 members was 17 years. A baby having born in between, the average age of the family is same today. When was the baby born? a) 1 year ago b) 2 years ago c) 3 years ago d) just today e) none of the above Q11). The sum of the digits of a two-digit number is 9 less than the number. Which of the following digits is at unit’s place of the number? a) 1 b) 2 c) 4 d) 8 e) None Q12). One year ago, Mrs kusuma was four time as old as her daughter Swathi. Six years hence, Mrs. Kusuma’s age will exceed her daughters age by 18 years. The ration of present ages of Kusuma and Swathi is a) 25:7 b) 13:4 c) 25:9 d) 13:1 e) None of these Q13). The calendar for year 1994 will serve as calendar for a) 1998 b) 2002 c) 2003 d) 2004 e) 2005 Q14). The minute hand of clock overtakes the hour hand at intervals of 63 minutes of correct time. How much a day does the clock gain or loose? a) Gains 10 10/43 minutes b) Gains 56 8/77 minutes c) Loses 10 10/43 minutes d) Loses 56 8/77 minutes e) None of these Q15). The expression (11.98 * 11.98 + 11.98 * X + 0.02 * 0.02 ) will be a perfect square for X equal to: a) 0.01 b) 0.02 c) 0.03 d) 0.04 e) 0.05
A moves 3 kms east from his starting point . He then travels 5 kms north. From that point he moves 8 kms to the east.How far is A from his starting point?
1,4,13,31,112,?