Freestone Infotech Interview Questions, Process, and Tips

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

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Recent Answer : Added by Admin On 2020-05-17 12:02:27:

6 cuts

Ques:- out of 55 eggs 5 are defective. what is % of defective eggs
Recent Answer : Added by DK BOSS On 2021-07-17 10:05:33:

5/55*100=9.09% defective eggs

Ques:- Find the odd man out:
2, 5, 10, 50, 500, 5000
A. (B) 5
B. (C) 10
C. (D) 5000
Recent Answer : Added by Roman On 2022-08-14 16:28:30:

5*2=10
10*5=50
50*10=500
500*50=25000
So odd one is 5000

Ques:- A bag contains a certain number of 50 paise coins, 20 paise coins and 10 paise coins inthe ratio 2:3:4. If the total value of all the coins in the bag is Rs.400, find the number of coins of each kind?
Recent Answer : Added by BISHWAS KUMAR On 2022-01-16 17:17:18:

50 paise coins= 400 = Rs 200
20 paise coins = 600 = Rs 120
10 paise coins= 800 = Rs 80

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3

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Recent Answer : Added by Occur Rasul On 2022-03-09 16:26:35:

I will first need to understand why he/she behaves so to establish the exact cause and try persuade him to appreciate roles and responsibilities of the various Team members in trying to achieve organizational goals.

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Ques:- The number of prime factors in the expression (6)10 x (7)17 x (11)27 is
A. 44
B. 54
C. 64
D. 71
Recent Answer : Added by Rahul Kumar Tiwary On 2021-11-13 11:02:13:

610 × 717 × 1127
= (2 × 3)10 × 717 × 1127
= 210 × 310 × 717 × 1127
Number of prime factors in the given expression
= (10 + 10 + 17 + 27)
= 64

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Ques:- The cost of 10 kg of apples is equal to the cost of 24 kg of rice. The cost of 6 kg of flour equals the cost of 2 kg of rice. The cost of each kg of flour is Rs.20.50. Find the total cost of 4 kg of apples, 3 kg of rice and 5 kg of flour?
Recent Answer : Added by AVI On 2021-12-23 16:25:51:

877.4

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Recent Answer : Added by Sandeep On 2021-07-31 16:36:01:

15a=45

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Ques:- 15 men take 21 days of 8 hrs. each to do a piece of work. How many days of 6 hrs. each would it take for 21 women if 3 women do as much work as 2 men?(a) 30(b) 20(c) 19(d) 29
Recent Answer : Added by Rajarshi Gangopadhyay On 2021-12-13 17:58:41:

30

Ques:- 2 men are walking towards each other at constant speeds.A train starting at one end crosses the first man in 18 seconds. After 10 minutes it meets the other man and crosses him in 12 seconds.(i am not sure of the values).Find the time when the 2 …

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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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