Aleph Interview Questions, Process, and Tips

Ques:- Where have you worked before?
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:- Networl and Planning
Ques:- Manoj and Sachin are ranked seventh and eleventh respectively from the top in a class of 31 students. What will be their respective ranks from the bottom in the class ?
Ques:- How do you go about making an important decision affecting your career?
Ques:- Past employment details.
Ques:- A 600 meter long train crosses a signal post in 40 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?
Recent Answer : Added by vinita On 2022-08-14 16:33:16:

4 mins

Ques:- The citizens of planet nigiet are 8 fingered and have thus developed their decimal system in base 8. A certain street in nigiet contains 1000 (in base 8) buildings numbered 1 to 1000. How many 3s are used in numbering these buildings?
Recent Answer : Added by Mahak On 2022-08-14 16:29:26:

answer is one

Ques:- Given a credit card number with a certain number of fixed digits and a certain number of digit placeholders, find the number of solutions such that the entire number yields a remainder of 3 when divided by 13. Use properties of modulus
Ques:- Koneru Humpy is related with which among the following games ?
Ques:- What are your Potential Reviews?
Ques:- Tell me something about myself?
Ques:- Rajan borrowed Rs.4000 at 5% p.a compound interest. After 2 years, he repaid Rs.2210 and after 2 more year, the balance with interest. What was the total amount that he paid as interest?
Recent Answer : Added by Karan Chavan On 2022-03-13 16:35:27:

Ans 635.5
4000
1 year 5 % 200 rs int
Total 4200
2 year 5 % 210 ra int
Total 4410
4410-2210 = 2200
1 year 5% 110
Total 2310
2 year 5 % 115.5 rs int
Total 2425.5
Total interest paid
200 +210+ 110+115.5. = 635.5

Ques:- There are four dogs/ants/people at four corners of a square of unit distance. At the same instant all of them start running with unit speed towards the person on their clockwise direction and will always run towards that target. How long does it take for them to meet and where?
Recent Answer : Added by Admin On 2020-05-17 12:01:43:

They will meet at the center of the square…as the
direction vector of all the ants/people change according to
the first person.
The independent path of each person taken will be spiral in
nature.

Ques:- Find the missing number of the the series 1, 3, 7, 13, 21, 31, ..
Recent Answer : Added by Soumya Rao On 2021-08-26 16:05:46:

43

Ques:- How long are you going to work with us?
Ques:- Why you changed your sector FMCG to Telecom?
Ques:- M/N = 6/5 3M+2N = ?
Recent Answer : Added by Admin On 2020-05-17 11:59:21:

cannot be determined .

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 : Added by Resha Bansal On 2022-05-17 08:55:07:

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:- Where you think you will be stand after 4 years?
Ques:- What are some of the things on your job you feel you have done particularly well or in which you have achieved the greatest success? Why do you feel this way?
Ques:- A person has Rs 100/- in his pocket, he can as 25 pencils or 15books.He kept 15% of the money for travelling expenses and purchased 5 pencils.So how many books he can purchase with the remaining money.
A. 4
B. 3
C. 5
D. none
Recent Answer : Added by Sanjay kushwah On 2022-09-02 17:02:44:

each pencil 100/25 = 4
each book 100/15 = 6.66

100 – 15 = 85

85-5*4 = 65

65/6.66 = 9
he can buy 9 books that is not in given options currently so
answer is NONE

Ques:- About family background and monthly income of family
Ques:- What is you computer knowledge?
Ques:- City A population is 68000, decreasing at a rate of 80 per year City B having population 42000 increasing at a rate of 120 per Year. In how many years both the cities will have same population
Recent Answer : Added by Admin On 2020-05-17 11:59:22:

130 years

Ques:- Education Qualification, Experience
Ques:- Can you pinpoint any specific things in your past experience that affected your present career objectives?
Ques:- In a can, there is a mixture of milk and water in the ratio 4 : 5. If it is filled with an additional 8 litres of milk the can would be full and ratio of milk and water would become 6 : 5. Find the capacity of the can?
Recent Answer : Added by N DHANAVEENA On 2021-10-19 17:55:00:

Ans-44
4x+8=6Y
5X=5Y
X=Y
FROM EQ 1
2X=8
X=4
6Y+5Y=11*4=44

Ques:- It cost a college Rs.0.70 a copy to produce a Programme for the homecoming football game. If Rs.15,000/- was received for advertisements in the programme, how many copies at Rs.0.50 a copy must be sold to make a profit of Rs.8000/- ?
Recent Answer : Added by Admin On 2020-05-17 12:00:29:

35000

Ques:- How many times do the hands of a clock coincide in a day?
Recent Answer : Added by kolapo On 2022-11-22 16:57:31:

11 times in 12hours

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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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