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**Ques:- Number of times 29th day of the month occurs in 400 consecutive year is**

**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?**

**Recent Answer**: :

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 and B are started a business in partnership investing Rs.20,000 and Rs.15,000 respectively. After six months, C joined them with Rs.20,000. What will be B’s share in the total profit of Rs.25,000 earned at the end of 2 years from the starting of the business?**

**Recent Answer**: :

A = 20k x 2y, B = 15k x 2y, C = 20k x 1.5y => 100Ky

B contribution = (15k x 2y) /100ky

B will get 0.3 from 25k which is 7.5k = 7500

**Ques:- Frank is 15 years younger then John. In 5 years John will be twice as old as Frank. How old will Frank be in four years?**

**Recent Answer**: :

19

**Ques:- Are you an out of the box thinker if yes please share some of the instances**

**Ques:- We are not pay masters still why would you like Exl?**

**Ques:- Personal influence at Mundra.**

**Ques:- There are 9 cities numbered 1 to 9. From how many cities the flight can start so as to reach the city 8 either directly or indirectly such the path formed is divisible by 3.**

**Ques:- Kohl?s is a famous apparel brand from?**

**Ques:- What will yo do to acquire new clients?**

**Ques:- WHY COMPANY SHOULD SELECT YOU FOR THIS POST ?**

**Ques:- You don't have any experience, Why I would appoint you for this post?**

**Ques:- A man ate 100 bananas in five days, each day eating 6 more than the previous day. How many bananas did he eat on the first day?**

**Recent Answer**: :

Let the person ate x banana on first day, so below is the equation for five days

X+x+6+x+12+x+18+x+24=100

So, he ate 8 banana first day

**Ques:- Give me an example of an assignment that you found difficult to finish? How did you go about it?**

**Ques:- Your area of interest in studies.**

**Ques:- Which languages can you read, write and speak?**

**Ques:- What is your working area and why you left & how many years you work there?**

**Ques:- If you 8 same balls and one of them is defective and has less weight. In how many times can you find the defective ball through weighing scale?**

**Ques:- Where would you really like to work?**

**Ques:- How do you feel about reporting to a younger person?**

Recent Answer: Added by AVIJIT BERA On 2021-11-26 16:30:00:4400+(97 leap year )=4497