Federal reserve bank of boston Interview Questions, Process, and Tips

Ques:- “An army travels 50 miles long at a constant rate. A courier standing at the rear moves forward and delivers the message to the first person and then turns back and reaches the rear of the army as the army completes 50 miles. Find the distance travelled by the courier.”
Ques:- X and Y invests Rs.3000 and Rs.4000 respectively in a business. If X doubles his capital after 6 months. In what ratio should X and Y divide that year’s profit?
Ques:- Complete the series. 1, 1, 2, 6, 24, ?, 720
Recent Answer : Added by Harish On 2022-10-17 15:57:56:

1!=1
2!=2×1=2
3!=3x2x1=6
4!=4x3x2x1=24
5!=5x4x3x2x1=120
6!=6x5x4x3x2x1=720
The answer is 120.

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Ques:- What is the probability of january 1st being on sunday
Ques:- Your area of interest in studies.
Ques:- Do you apply for another job?
Ques:- A bag contains 7 green and 8 white balls. If two balls are drawn simultaneously, the probability that both are of the same colour is -.
Recent Answer : Added by Jordan On 2022-08-14 16:45:51:

I agree with @TUMWINE PETER

Ques:- ?Ghasiram Kotwal? was written by
Ques:- A store owner is packing small radios into larger boxes that measure 25 in. by 42 in. by 60 in. If the measurement of each radio is 7 in. by 6 in. by 5 in., then how many radios can be placed in the box?
Ques:- A wizard named Nepo says “I am only three times my son's age. My father is 40 years more than twice my age. Together the three of us are a mere 1240 years old.” How old is Nepo?
Recent Answer : Added by Chetan On 2021-07-16 09:53:52:

360 years old
Nepo’s son age = x
Nepo’s age = 3x
Nepo’s father age = 2*3x + 40

x + 3x + 6x + 40 = 1240
10x = 1200
x = 120

Nepos age = 3* 120 = 360 years

Ques:- A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are drawn at random, what is the probability that at least one is green?
Ques:- Two pipes A and B can fill a tank in 20 and 30 minutes respectively. If both the pipes are used together, then how long will it take to fill the tank?
Recent Answer : Added by Rashid Ather Deshmukh On 2021-10-07 15:42:06:

12

Ques:- A 180 meter long train crosses a man standing on the platform in 6 sec. What is the speed of the train?
Recent Answer : Added by Roopesh On 2021-06-15 17:06:46:

Which means the train will travel 180 m in 6 seconds so
We need to convert this into minutes
6×10 = 60s= 1 minute.
180×10 = 1800 m train will travel 1.8 km in 1 minute.
1.8×60 = 108 kmph

Ques:- How long are you going to work with us?
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Ques:- 252 can be expressed as a product of primes as
A. 2 x 2 x 2 x 3 x 7
B. 2 x 2 x 3 x 3 x 7
C. 2 x 3 x 3 x 3 x 7
D. 3 x 3 x 3 x 3 x 7
Recent Answer : Added by Ompal Singh On 2022-08-24 17:03:01:

B

Ques:- A train 100 meters long passes a platform 100 meters long in seconds. The speed of the train is
A. 36 km/hr
B. 52 km/hr
C. 72 km/hr
D. 92 km/hr
Recent Answer : Added by ThinkAlike On 2022-03-09 16:31:07:

= 100 + 100 = 200 m

Time taken by train = 10 sec.

∵ Speed = Distance/Time

⇒ Speed of train = 200/10 = 20 m/sec.

∴ Speed of train = 20 × 18/5 = 72 kmph.

In question they left 10 seconds

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Ques:- Perimeter of the back wheel = 9 feet, front wheel = 7 feet on a certain distance, the front wheel gets 10 revolutions more than the back wheel .What is the distance?
Recent Answer : Added by Admin On 2020-05-17 12:04:03:

Let the revolutins made by bigger wheel is: x
then revolution by smaller wheel will be: x+10
Now, the distance covered by both wheels will be same.
So,
7(x+10)=9x
7x+70=9x
70=2x
35=x
so distance travelled=9*35=315
or 7*45=315

Ques:- How are see your future in industrial environment.
Ques:- “can we fit 8 numbers (1 to 8) in 2X4 matrix such that any element in any cell should not adjacent or diagonal to next or previous element EX: 1 2 – – –>invalid EX: 1 6 7 4–>invalid 2 – – – EX: 1 4 7 3 —>invalid- 2 – – …”
Recent Answer : Added by Shobhit On 2021-10-13 14:55:28:

2637
4815
OR
2817
4635

Ques:- What you lack as a professional.
Ques:- If cos2A + cos2B + cos2C = 1 then ABC is a
Ques:- If the 3 digit number AB9 is a perfect square is A an odd digit?
Ques:- Regarding family background
Ques:- X and Y starts a business with Rs.8000 each, and after 4 months, Y withdraws half of his capital . How should they share the profits at the end of the 18 months?
Recent Answer : Added by Admin On 2022-09-29 16:03:06:

x:y=18:11

Ques:- Consider a series in which 8 teams are participating. each team plays twice with all other teams. 4 of them will go to the semi final. How many matches should a team win, so that it will ensure that it will go to semi finals.?

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