Michigan office of the auditor general Interview Questions, Process, and Tips

Ques:- Five farmers have 7, 9, 11, 13 & 14 apple trees, respectively in their orchards. Last year, each of them discovered that every tree in their own orchard bore exactly the same number of apples. Further, if the third farmer gives one apple to the first, and the fifth gives three to each of the second and the fourth, they would all have exactly the same number of apples. What were the yields per tree in the orchards of the third and fourth farmers?
Recent Answer : Added by John Rony On 2021-06-23 17:56:01:

So we consider the 2nd statement first. We can form an equation out of it.
14x-6=13y+3=9z+3
Using this, we can understand that the multiple of 14 and the multiple of 13 and 9 must have a difference of 9. The easiest way to ensure that is multiplying it by 9
14*9=126
13*9=117
If the 5th farmer gives 3 apples to the 4th farmer, they would have 123 and 120 apples respectively. However, we also know that the 2nd farmer has 117 apples (13*9=117, and this is a multiple of 9) if the 5th farmer gives 3 apples too the 2nd farmer, the 3rd, 4th and 5th farmers would have 120 apples each.
Now that we got 120, we should check if the first part of the question makes sense along with it. The equation would be
7a+1=11b-1=120
We know that 11*11=121 and 7*17=119. When we add 1 to 119 and subtract 1 from 121, we get 120 for each. In this way, all the farmers have 120 apples each.
Therefore, the 3rd farmer had a yield of 11 per tree and the 4th farmer had a yield of 9 per tree.

Ques:- TELL US SOMETHING ABOUT OUR COLLEGE?
Ques:- ABCDE are sisters. Each of them gives 4 gifts and each receives 4 gifts No two sisters give the same combination ( e.g. if A gives 4 gifts to B then no other sisters can give four to other one.)
Ques:- Any Recent Movie you Saw Tell Me Story in Short ?
Ques:- There are some rabbits and peacocks in a zoo. The total number of their heads is 60 and total number of their legs is 192. Find the number of total rabbits?
Recent Answer : Added by SAID OUJEAR On 2021-08-09 17:01:34:

24 peacocks and 36 rabbits

Ques:- Give an instance in your life in which you were faced with a problem and you tackled it successfully.
Ques:- Which greatest number will divide 3026 and 5053 leaving remainders 11 and 13 respectively?
A. 15
B. 30
C. 40
D. 45
Recent Answer : Added by Vijay Vinod On 2022-09-16 14:52:15:

Answer is 45
First we need to subtract those reminders from the respective numbers, then we have to find the hcf of two numbers(numbers got from the subtraction) then you will get the answer.
So,
After subtraction you will get
3026-11 = 3015
5053-13 = 5040
HCF of these two numbers
5 | 3015 5040
3 | 603 1008
3 | 201 336
| 67 112
We can’t find a common diviser since 67 is a prime number
So the HCF = 5 * 3 * 3
= 45
5*3*3 = 45

Ques:- Describe your best friend?
Ques:- In the reading room of a library, there are 10 tables, 4 chairs per table. In each table there are different numbers of people seated. How many ways they will sit in the library so that no chair would be blank?
A. 8
B. 6
C. 2
D. 5
E. 4
Recent Answer : Added by Swarup On 2021-12-23 16:25:57:

4

Ques:- Tell me about your academic achievement ?
Ques:- You have two jars, 50 red marbles and 50 blue marbles. A jarwill be picked at random, and then a marble will be pickedfrom the jar. Placing all of the marbles in the jars, howcan you maximize the chances of a red marble being picked?What are the exact odds of getting a red marble using yourscheme?
Ques:- Tell me a little bit about your background?
Ques:- The wheels revolve round a common horizontal axis. They make 15, 20 and 48 revolutions in a minute respectively. Starting with a certain point on the circumference down wards. After what interval of time will they come together in the same position?
Ques:- A team of eight entered for a shooting competition. The best marks man scored 85 points. If he had scored 92 points, the average scores for. The team would have been 84. How many points altogether did the team score?
Recent Answer : Added by Pritam Das On 2022-03-09 16:33:22:

665

Ques:- There N stations on a railroad. After adding X stations on the rail route 46 additional tickets have to be printed. Find N and X
Recent Answer : Added by Rishabh Gupta On 2022-03-09 16:33:47:

Each PAIR of stations means a PAIR of tickets (A to B and B to A)

2(old stations)(new stations) + 2(new stations)(new stations – 1) = 46

(N * X) + (X * (X – 1)) = 23

factoring ___ X (N + X – 1) = 23

23 is a prime number with only two factors, 1 and 23

so N = 23 and X = 1

Ques:- There are 12 balls looks identically equal. But one of them has weight different(more or less) from other. How to find that dissimilar ball with minimum balances?
Ques:- Tell me how did you spend your last weekend.
Ques:- How do you feel about reporting to a younger person?
Ques:- You?ve been with your firm a long time. Won?t it be hard switching to a new company?
Ques:- What improvement you want to make in your unit.
Ques:- I am hard worker
Ques:- General,logic and mathematics
Ques:- In 60 reems of paper 40 reems were utilised then what percent will remain?
Recent Answer : Added by Admin On 2020-05-17 11:59:18:

Total=60reems
Utilized=40reems
Un utilized= 60-40=20
Percentage of remainder 20/60=.3333
0.33333*100=33.333%

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?
A. Rs. 7000
B. Rs. 7500
C. Rs. 9000
D. Rs. 9500
Recent Answer : Added by Chathura On 2022-05-17 09:09:31:

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:- Number Series 8,9,11,14,,18,23,?
Recent Answer : Added by Admin On 2020-05-17 11:59:54:

8+1=9
9+2=11
11+3=14
14+4=18
18+5=23
and finally
23+6=29

Ques:- What position do you prefer on a team working on a project?
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Ques:- Why you think that you are the best for this post
Ques:- There are 3 clans in an island – The Arcs who never lie, the Dons who always lie and the Slons who lie alternately with the truth. Once a tourist meets 2 guides who stress that the other is a Slon. They proceed on a tour and see a sports meet. The first guide says that the prizes have been won in the order Don, Arc, Slon. The other says that, the order is Slon, Don, Arc. (the order need not be exact). To which clan did each of the guides and the players belong? …

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