Ques:- Let S be the set of prime numbers greater than or equal to 2 and less than 100. Multiply all the elements of S. With how many consecutive zeros will the product end?
A. 1
B. 4
C. 5
D. 10
Ques:- 20% of (A) 6 litre solution and 60% of (B) 4 litre solution are mixed. What percentage of the mixture of solution is A?
Recent Answer : :
Mixture is 1.2 L of A + 2.4L of B which is 3.6L total. 1.2L / 3.6L = 1/3 (0.33)
Ques:- In each questions below are given two statements followed by two conclusions numbered I and II.
Statements :
Most teachers are boys. Some boys are students.
Conclusions :
I. Some students are boys.
II. Some teachers are students.
Statements :
Most teachers are boys. Some boys are students.
Conclusions :
I. Some students are boys.
II. Some teachers are students.
A. if only conclusion I follows
B. if only conclusion II follows
C. if either conclusion I or II follows
D. if neither conclusion I nor II follows
E. if both conclusions I and II follow
Ques:- Where were you working before?
Ques:- Why do I carry such diverse degrees in different creative fields
Ques:- Evaluate the greatest number of five digits which is divisible by 32, 36, 40, 42 and 48?
Recent Answer : :
answer= 90720
Ques:- Are you familiar with collaboration tools? Whichcommunication method do you prefer for talk, email and chat?
Ques:- In a row of girls, Rita and Monika occupy the ninth place from the right end and tenth place from the left end, respectively. If they interchange their places, Rita and Monika occupy seventeenth place from the right and eighteenth place from the left, respectively. How many girls are there in the row ?
Ques:- X and Y starts a business with Rs.8000 each, and after 4 months, Y withdraws half of his capital . How should they share the profits at the end of the 18 months?
Recent Answer : :
x:y=18:11
Ques:- If on an item a company gives 25% discount, they earn 25% profit. If they now give 10% discount then what is the profit percentage.
Recent Answer : :
If discount is 25%
Profit 25%
If discount10%
Profit?
Suppose 100rs is price
25% discount make it 75
25%profit that means 75×100/125=60
Cp is 60
10 % discount make sp 90 profit is 30%
Ques:- If the list price of a book is reduced by Rs. 5, then a person can buy 5 more books for Rs. 300. The original cost of the book is?
Recent Answer : :
20- buy 15 books
15- buy 20 books
Original price is 20.
Ques:- Present population of town is 35,000 having males and females. If The population of males is increased by 6% and if the population of females is increased by 4%, then after 1 year the population becomes 36,700. Find the number males and females ?
Ques:- WHAT ARE THE SKILLS REQUIRE TO ENTER IN SOFTWARE INDUSTRY?
Ques:- A vessel is full of liquid. From the vessel, 1/3rd of the liquid evaporates on the first day. On the second day 3/4th of the remaining liquid evaporates. What fraction of the volume is present at the end of the second day
Recent Answer : :
1/6
Ques:- How to introduce ourself
Ques:- Where you think you will be stand after 4 years?
Ques:- Who is an ideal team worker according to you
Ques:- a=2,b=3,c=6 c/(a+b)-(a+b)/c=?
Recent Answer : :
6/(2+3)-(2+3)/6
=6/5-5/6
=(36-25)/30
=11/30
ans is 11/30
Ques:- You have a birthday cake and have exactly 3 cuts to cut it into 8 equal pieces. How do you do it?
Recent Answer : :
we consider a round shape cake.then cut in 2 equal parts in cut into center and next you have to cut its side by center then you have to get 8 equal parts in 3 exact cut
Ques:- X^(1/3) – X^(1/9) = 60 Solve for X
Ques:- If an item costs Rs.3 in '99 and Rs.203 in '00.What is the % increase in price?
Ques:- The legendary king Midas possessed a huge amount of gold. He hid this treasure carefully: in a building consisting of a number of rooms. In each room there were a number of boxes; this number was equal to the number of rooms in the building. Each box contained a number of golden coins that equaled the number of boxes per room. When the king died, one box was given to the royal barber. The remainder of the coins had to be divided fairly between his six sons. Is a fair division possible in all situations?
Ques:- Why are you the best person for this job?
Ques:- Hr asked aboout me
Ques:- Find the multiple of 11 in the following numbers.
A. 978626
B. 869756
C. 447355
D. 447355
Recent Answer : :
A. 978626
Ques:- A man took loan from a bank at the rate of 12% p.a. S.I. After 3 years he had to pay Rs. 5400 interest only for the period. The principal amount borrowed by him was?
Recent Answer : :
3800
Ques:- Present ages of Sameer and Anand are in the ratio of 5:4 respectively. Three years hence, the ratio of their ages will become 11:9 respectively. What is Anand’s present age in years?
Ques:- What would you do if you were invisible for a day?
Ques:- Where you worked first
Ques:- From its total income, A sales company spent Rs.20,000 for advertising, half of the remainder on commissions and had Rs.6000 left. What was its total income?
Recent Answer : :
32000
To determine how many consecutive zeros the product of S will end with, we need to find the highest power of 10 that divides the product. This is equivalent to finding the highest power of 5 that divides the product, since the number of factors of 2 will always be greater than the number of factors of 5.
The primes in S are {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97}.
There are 24 primes in S, so the product of S is:
2 x 3 x 5 x 7 x 11 x 13 x 17 x 19 x 23 x 29 x 31 x 37 x 41 x 43 x 47 x 53 x 59 x 61 x 67 x 71 x 73 x 79 x 83 x 89 x 97
We need to find the highest power of 5 that divides this product. To do this, we count the number of factors of 5 in the prime factorization of each number in S.
5 appears once: 5
5 appears once: 25
5 appears once: 35
5 appears once: 55
5 appears once: 65
5 appears once: 85
So, there are six factors of 5 in the product of S. However, we also need to consider the powers of 5 that arise from the factors 25, 35, 55, and 65.
25 = 5 x 5 appears once: 25
35 = 5 x 7 appears once: 35
55 = 5 x 11 appears once: 55
65 = 5 x 13 appears once: 65
Each of these numbers contributes an additional factor of 5 to the product of S. Therefore, there are 6 + 4 = 10 factors of 5 in the product of S.
Since each factor of 5 corresponds to a factor of 10, we know that the product of S will end with 10 zeros. Therefore, the product of S will end with 10 consecutive zeros