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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
Recent Answer : Added by Yash G On 2023-03-01 17:24:09:

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

Ques:- A batsman average was last innings he took 23 runs then his average became much run he should take to make his average 18?
Recent Answer : Added by Admin On 2020-05-17 12:02:21:

((15 X m) + 23)/(m+1)= 16
solving , we get number of matches (m) as 7 (excluding last
so he shud hit 39 runs in last innings to ake average to 18

Ques:- Three men A,B,C can complete a work separately in some specified days(may be6,7,8).If they do the work together by alternate days. Then how many days need to complete the work?
Recent Answer : Added by Admin On 2020-05-17 12:02:11:

Three man’s on day work = 1/6+1/7+1/8=73/168
three man’s can complete the work in 1/73/168 days
= 168/73 days
Now if they works together fro the alternet days they will
complete the worksin 2*168/73 days
(If three mans working for the alternate days then work
completion time will be doubbled)

Ques:- Give three things that you consider when looking for a job.
Ques:- Tell you about a time when you failled to meet a deadlinewhat were the repercussions?
Ques:- What do you dislike about the college you studied?
Ques:- What made me to rejoin siemens? relocation?
Ques:- Why I didn’t chose for the placement offer I received from my campus
Ques:- My family background.
Ques:- Why are you joining us?
Ques:- Would you be interested in relocating to Gandhinagar?
Ques:- What is your total experience?
Ques:- Sum of two consecutive even terms lacks by 98 from their product. What is the sum of these numbers?
Recent Answer : Added by tejas On 2022-09-02 17:03:29:

12, 10

Ques:- The simple interest on a sum of money will be Rs.600 after 10 years. If the principal is trebled after 5 years what will be the total interest at the end of the tenth year?
Recent Answer : Added by dilshad On 2021-03-26 17:27:26:


Ques:- A circular path of 13 m radius has marginal walk 2 m wide all round it. Find the cost of leveling the walk at 25p per m2?
Ques:- Two ladies and two men are playing cards and are seated at North, East, South and West of a table. No lady is facing East. Persons sitting opposite to each other are not of the same sex. One man is facing South. Which directions are the ladies facing?
Recent Answer : Added by Saumyadipta Sarkar On 2022-03-09 16:41:20:

M. L

Ques:- What three things do you need to be successful in this job? What are deal killers for you?
Ques:- How do you feel about reporting to a younger person?

Devendra Bhardwaj With a decade of experience as a Job Hiring Expert, I am a results-driven professional dedicated to elevating recruitment strategies. My expertise lies in navigating the dynamic landscape of talent acquisition, employing innovative approaches to attract, assess, and secure top-tier candidates. I excel in optimizing hiring processes, leveraging cutting-edge technologies, and fostering collaborative relationships with stakeholders. A keen understanding of industry trends allows me to stay ahead, ensuring a competitive edge in securing the best talent for your organization. I am passionate about connecting the right people with the right opportunities and thrive in creating impactful, streamlined recruitment solutions.

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