Arkansas tech university 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

Ques:- In a party there are 5 couples. Out of them 5 people are chosen at random. Find the probability that there are at the least two couples?
Ques:- Evaluate the average of first 10 even numbers is?
Recent Answer : Added by Praveen Kumar On 2022-08-24 17:03:13:

11

Ques:- The letters below stand for numbers 0,1,2,3,4,5,6.Decipher them DADCB -EBEG is equal to BFEG
Ques:- Can I pursue one additional professional course (MBA) with CA?
Ques:- Did you achieve it last year?
Ques:- David invested certain amount in three different schemes. A, B and C with the rate of interest 10% p.a., 12% p.a. and 15% p.a. respectively. If the total interest accrued in one year was Rs. 3200 and the amount invested in scheme C was 150% of the amount invested in scheme A and 240% of the amount invested in scheme B, what was the amount invested in scheme B?
Ques:- I ASKED A WOMAN WHAT WAS HER AGE?. SHE REPLIED THAT HER HUSBAND’S AGE IS REVERSE OF HER. AND THE DIFFERENCE BETWEEN THEIR AGES IS ONE ELEVENTH OF THEIR SUM. FIND OUT WHAT WAS HER AGE AND HER HUSBAND’S AGE?.
Recent Answer : Added by Admin On 2020-05-17 12:05:22:

Solution # 15-18
Sitting solution be- D T M B H R
Ans 15 :Mr. D
ans 16 : 1 2 3
Ans 17 : 3
Ans 18 : Mr B Suffering from anemia.

Ques:- HOW MANY LINES CAN BE DRAWN FROM 10 POINTS IN A CIRCLE?
Recent Answer : Added by Admin On 2022-09-28 17:25:01:

Since, there are 10 points on the circle and to draw a chord we need to connect any two points on the circle to make it a straight line, which implies that the number of chords = No of lines connecting any two points out of the 10 points

= 10C2 = 10*9/2 = 45 chords.

Ques:- WHAT IS THE IMPORTANCE OF MS EXCEL & MS- WORD AND WHAT ARE ITS MAIN APPLICATION IN COMPANIES
Ques:- What is efficiency of transformer?
Ques:- You are given with two identical iron bars. one of them is magnetized and the other is not. u are suppose to find which one is magnetized. u are not suppose to use any other thing.
Ques:- P and Q together can do a work in 6 days. If P alone can do it in 15 days. In how many days can Q alone do it?
Recent Answer : Added by Nishara Pathirana On 2023-04-18 07:32:50:

Assume Q can do the work alone in Q days:

work of a day by both P and Q =>
(1/15) + (1/Q ) = 1/6
solving this Q = 10.

Ques:- In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg respectively. So as to get a mixture worth Rs. 16.5/kg?
A. 3 : 7
B. 5 : 7
C. 7 : 3
D. 7 : 5
Recent Answer : Added by kishan sah On 2022-09-02 17:04:57:

7:3

Ques:- A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is?
Recent Answer : Added by A.C. On 2022-03-09 16:28:57:

8/15 left.

1/15 * 4 + 1/20 * 4 = 7/15
1 – 7/15 = 8/15

Ques:- If the annual rate of simple interest increases from 10% to 12.5%, a man’s yearly income increases by Rs. 1250. His principal in Rs. is?
Ques:- What are the qualities do u have to give 50% hike?
Ques:- The average marks in mathematics scored by the pupils of a school at the public examination were 39. If four of these pupils who actually scored 5, 12, 15 and 19 marks at the examination had not been sent up, the average marks for the school would have been 44. Find the number of pupils sent up for examination from the school?
Ques:- A banana plantation is located next to a desert. The plantation owner has 3000 bananas that he wants to transport to the market by camel, across a 1000 kilometre stretch of desert. The owner has only one camel, which carries a maximum of 1000 bananas at any moment in time, and eats one banana every kilometre it travels. What is the largest number of bananas that can be delivered at the market?
Ques:- 10 in 4 seconds, ? in 6 minutes
Recent Answer : Added by Admin On 2020-05-17 12:02:26:

1min = 60 seconds
6 min=6*60=360seconds
4 sec=10
360sec=360*10 /4=900

Ques:- Classic: If a bear walks one mile south, turns left and walks one mile to the east and then turns left again and walks one mile north and arrives at its original position, what is the color of the bear.
Recent Answer : Added by Admin On 2020-05-17 12:01:06:

The Bear was white in color as it was a polar bear
It started moving from the north pole towards the south 1
mile and again after moving 1 mile east and one mile north
he reached his original position

Ques:- In each questions below are given two statements followed by two conclusions numbered I and II.
Statements :
All film stars are playback singers. All film directors are film stars.
Conclusions :
I. All film directors are playback singers.
II. Some film stars are film directors.
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
Recent Answer : Added by Anirban Saha On 2022-09-22 16:41:15:

Both conclusion follows

Ques:- Why do you want to to change the job
Ques:- Why are u changing ur job
Ques:- 5 men or 8 women do equal amount of work in a day. a job requires 3 men and 5 women to finish the job in 10 days how many woman are required to finish the job in 14 days.
Recent Answer : Added by Admin On 2022-09-29 17:03:59:

Lets assume total LCM(5,8) = 40units.
As, 5 men or 8 women do equal amount of work in a day,
1 Man does 8units/day and 1 Woman does 5units/day.
3M and 5W in 10 days do (3*8 + 5*5)*10 = 490units
To do 490 units in 14 days, number of Women required = 490/(14*5) = 7

Ques:- Of the six members of a panel sitting in a row, A is to the left of D, but on the right of E. C is on the right of X, but is on the left of B who is the left of F. Which two members are sitting right in the middle?
Recent Answer : Added by Ashok G Menon On 2022-05-17 09:09:29:

AB

Ques:- A tank is filled in eight hours by three pipes A, B and C. Pipe A is twice as fast as pipe B, and B is twice as fast as C. How much time will pipe B alone take to fill the tank?
Recent Answer : Added by Maddipatla Sai Kumar Naidu On 2022-11-08 16:21:49:

28 hrs

Ques:- What is more important to you: the money or the work?
Ques:- Why have you been out of work so long?
Ques:- What is the area of a rectangle whose length is twice its width and whose perimeter is equal to that of a square whose area is 1

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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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