Optrust Interview Questions, Process, and Tips

Ques:- There was a cycle race going on. 1/5th of the those in front of a person and 5/6th of those behind him gives the total number of participants. How many people took part in the race?
Ques:- A and B invests Rs.8000 and Rs.9000 in a business. After 4 months, A withdraws half of his capital and 2 months later, B withdraws one-third of his capital. In what ratio should they share the profits at the end of the year?
Recent Answer : Added by Sagnik Mandal On 2022-01-16 17:19:19:

2:3

Ques:- Let D be the set of all points in the real plane such that |x| + |y| <= 1,where |x| (respectively |y|) denotes the absolute value of x (respectively y).Prove that amongst every 5 points in D, there exist two points whose distancefrom one another is at most 1.
Ques:- My aim in became to MBA (HR) graduate
Ques:- How do you go about making an important decision affecting your career?
Ques:- Where have you worked before?
Ques:- There is a whole number n for which the following holds: if you put a 4 at the end of n, and multiply the number you get in that way by 4, the result is equal to the number you get if you put a 4 in front of n. In other words, we are looking for the number you can put on the dots in the following equation: 4… = 4 ?…4 Which number must be put on the dots to get a correct equation?
Ques:- In 1978, a kg of paper was sold at Rs25/-. I f the paper rate increases at 1.5% more than inflation rate which is of 6.5% a year , then what wil be the cost of a kg of paper after 2 years? a)29.12 (b) 29.72 (c) 30.12 (d) 32.65 (e) none of these
Recent Answer : Added by Admin On 2020-05-17 12:00:04:

(a) 29.12 (actual)
first year rate of paper (inflation rate) : 25 + 25 *
6.5/100 = 26.625
paper rate in first year is 1.5 % more . ..thr4
inflated cost in 1 yr = 26.625 + 1.5 / 100 * 26.625 =
27.024.
second year : 27.024 + 27.024 * 6.5 / 100 = 28.78
paper cost : 1.5 /100 * 28.78 + 28.78 = 29.12 ( approx..)

Ques:- what is the angle between teo hands of a clock when time is 8-30?
Recent Answer : Added by Admin On 2020-05-17 12:00:00:

75 degrees
30h – 11/2 m = 240 – 165 = 75 ..

Ques:- Have you made any individual presentations recently? How did you prepare?
Ques:- Why you are leaving present company
Ques:- 8400 ? 120 x 15 + 150 = ?
Recent Answer : Added by Admin On 2020-05-17 12:03:34:

8400 ? 120 x 15 + 150 = ?
ans:
8400 % 120 x 15 + 150 = ?
1200

Ques:- LAST COMPANY
Ques:- Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:
Ques:- Do you have the stomach to fire people? Have you had experience firing many people?
Ques:- 40.83 x 1.02 x 1.2 = ?
Recent Answer : Added by Gowtham On 2022-09-15 16:37:20:

There should be 5(2+2+1) decimal places in the answer and the decimal place should end with 2(3*2*2=12) so the correct answer is a, no need for calculator. You can rule out all the other options because it does not satisfy this condition.

Ques:- Tell me abt ur self
Ques:- A man rows to a place 48 km distant and come back in 14 hours. He finds that he can row 4 km with the stream in the same time as 3 km against the stream. The rate of the stream is:
Recent Answer : Added by shashank chourasiya On 2022-03-09 16:42:05:

Hint: Assume that the speed of the stream is x and the speed of the boat in still water is x. From the statement of the question form two equations in two variables x and y. This system is reducible to linear equations in two variables. Reduce the system to a system of linear equations in two variables by proper substitutions. Solve the system of equations using any one of the methods like Substitution method, elimination method, graphical method or using matrices. Hence find the value of x satisfying both the equation. The value of x will be the speed of the stream.
Complete step-by-step answer:
Let the speed of the stream be x, and the speed of the boat in still water be y.
We have the speed of the boat upstream = y-x.
Speed of the boat downstream = y+ x.
Now since it takes 14 hours to reach a place at a distance of 48 km and come back, we have the sum of the times taken to reach the place downstream and time taken to return back upstream is equal to 14.
Now, we know that time =Distance speed
Using, we get
Time taken to reach the place =48y+x and the time taken to return back =48y−x.
Hence, we have
48y+x+48y−x=14
Dividing both sides by 2, we get
24y+x+24y−x=7 —–(i)
Also, the time taken to cover 4km downstream is equal to the time taken to cover 3km upstream.
Hence, we have 4y+x=3y−x
Transposing the term on RHS to LHS, we get
4y+x−3y−x=0 ——– (ii)
Put 1y+x=t and 1y−x=u, we have
24t+24u=7 ——-(iii)4t−3u=0 ——–(iv)
Multiplying equation (iv) by 6 and subtracting from equation (iii), we get
24t−24t+24u+18u=7⇒42u=7
Dividing both sides by 42, we get
u=742=16
Substituting the value of u in equation (iv), we get
4t−3(16)=0⇒4t−12=0
Adding 12 on both sides, we get
4t=12
Dividing both sides by 4, we get
t=18
Reverting to original variables, we have
1y+x=18 and 1y−x=16
Taking reciprocals on both sides in both equations, we have
y+ x=8 ——- (v)y−x=6 ——–(vi)
Adding equation (v) and equation (vi), we get
2y=14
Dividing both sides by 2, we get
y=7.
Substituting the value of y in equation (v), we get
7+x=8
Subtracting 7 from both sides we get
x = 8-7 =1
Hence the speed of the stream is 1 km/hr.

Ques:- What is the H.C.F of 204, 1190 and 1445?
Ques:- What do you mean by GSM, CDMA?
Ques:- Six years ago, the ratio of ages of Kunal and Sagar was 6:5. Four years hence, the ratio of their ages will be 11:10. What is Sagar’s age at present?
Ques:- Four sisters- Purva, Durga, Parvati and Maya are playing a game such that the loser doubles the money of each of the other players from her share. They played four games and each sister lost one game in alphabetical order. At the end of fourth game, each sister has Rs. 32. What was the amount with Uma at the end of the second round?
Ques:- Tell me honestly about the strong points and weak points of your boss (company, management team, etc.)
Ques:- 0.23 + 0.02323 + 0.002323…. == ???
Recent Answer : Added by Admin On 2020-05-17 12:03:13:

0.255555…..

Ques:- Number Series 40,42,39,44,38,46,?
Recent Answer : Added by Admin On 2020-05-17 12:01:22:

37

Ques:- Anil invested a sum of money at a certain rate of simple interest for a period of five years. Had he invested the sum for a period of eight years for the same rate, the total intrest earned by him would have been sixty percent more than the earlier interest amount. Find the rate of interest p.a.
Ques:- Imagine you are standing in front of a mirror, facing it. Raise your left hand. Raise your right hand. Look at your reflection. When you raise your left hand your reflection raises what appears to be his right hand. But when you tilt your head up, your reflection does too, and does not appear to tilt his/her head down. Why is it that the mirror appears to reverse left and right, but not up and down
Recent Answer : Added by DK BOSS On 2021-07-30 16:27:07:

The definition of left and right depends on the observer and
is reversed when facing the opposite direction. The
definition of up and down does not depend on the orientation
of the observer.

Ques:- Tell me about youtcollege days?
Ques:- The smallest number of 5 digit beginning with 3 and ending with 5 will be
A. 31005
B. 30015
C. 30005
D. 30025
Recent Answer : Added by Deepa verma On 2022-03-09 16:31:33:

C

Ques:- A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes. How long will it take to go 5 km in stationary water?
Recent Answer : Added by Paul On 2023-03-30 13:44:16:

Answers as expected

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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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