Franchise tax board Interview Questions, Process, and Tips

Ques:- Two trains of equal length when moving in opposite direction takes 5 sec. to cross each other completely and when moving in same direction takes 15 sec. Find the ratio of their speed.
Recent Answer : Added by Deven Sharma On 2023-05-31 18:18:48:

Let’s assume the length of each train is ‘L’ and the speeds of the two trains are ‘V₁’ and ‘V₂’ respectively.

When the trains are moving in the opposite direction, their relative speed is the sum of their individual speeds. The total distance they need to cover is the sum of their lengths. Since they cross each other completely in 5 seconds, we can set up the following equation:

(V₁ + V₂) × 5 = 2L

When the trains are moving in the same direction, their relative speed is the difference between their individual speeds. The total distance they need to cover is the difference between their lengths. Since they cross each other completely in 15 seconds, we can set up the following equation:

(V₁ – V₂) × 15 = 2L

Now, let’s solve these equations to find the ratio of their speeds.

From the first equation, we have:
(V₁ + V₂) × 5 = 2L
V₁ + V₂ = (2L) / 5

From the second equation, we have:
(V₁ – V₂) × 15 = 2L
V₁ – V₂ = (2L) / 15

Let’s add these two equations together:
V₁ + V₂ + V₁ – V₂ = (2L) / 5 + (2L) / 15
2V₁ = (6L + 2L) / 15
2V₁ = (8L) / 15
V₁ = (4L) / 15

So, the speed of the first train is (4L) / 15.

Now, let’s substitute this value back into the first equation to find V₂:
(4L) / 15 + V₂ = (2L) / 5
V₂ = (2L) / 5 – (4L) / 15
V₂ = (6L – 4L) / 15
V₂ = (2L) / 15

Therefore, the speed of the second train is (2L) / 15.

The ratio of their speeds is given by:
(V₁ / V₂) = ((4L) / 15) / ((2L) / 15)
(V₁ / V₂) = 4L / 2L
(V₁ / V₂) = 2

So, the ratio of their speeds is 2:1.

Ques:- If a train, travelling at a speed of 90 kmph, crosses a pole in 5 sec, then the length of train is?
Ques:- Pointing to a man, a women said,”His mother is the only daughter of my mother.” How is the woman related to the man?
Recent Answer : Added by Admin On 2022-09-29 16:05:58:

mother

Ques:- Which film of Aamir khan has gone for oscar?
Ques:- If one Tyre of a car suddenly gets stolen…. and after sometime u find the Tyre without the screws how will u make ur journey complete?
Recent Answer : Added by Leo Konwar On 2021-02-24 17:31:40:

Take one screw out from the rest of the three tyres and put the screws in the fourth tyre. Now all tyres will be held by three screws each.

Ques:- There are two circles, one circle is inscribed and another circle is circumscribed over a square. What is the ratio of area of inner to outer circle?
Recent Answer : Added by Paul Gotti On 2022-08-14 16:28:42:

1:2

Ques:- In 29 words or fewer, describe what you would strive to accomplish if you worked at Google Labs.
Recent Answer : Added by Admin On 2020-05-17 12:01:46:

I WOULD STRIVE TO MAKE THE GOOGLE SEARCH MORE RESPONSIVE
TOWARDS THE QUESTIONS, AS THE GOOGLE RESULT JUST CONTAIN
THE SITE RELATED TO THE TERMS INCLUDED.

Ques:- How to introduce ourselves
Ques:- A large tanker can be filled by two pipes A and B in 60 and 40 minutes respectively. How many minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half?
Recent Answer : Added by Raja On 2022-11-15 16:37:18:

30mins

Let the total time taken to fill the tank be x minutes.

Then, work done by B in half hour + work done by (A+B) in half hour =1.

(
40
1

×
2
x

)+(
60
1

+
40
1


2
x

=1


80
x

+
48
x

=1


240
3x+5x

=1

⇒8x=240

⇒x=30 min

Ques:- What is the sum of all numbers between 100 and 1000 which are divisible by 14 ?
Recent Answer : Added by Kalyani Nanaware On 2022-08-14 16:43:06:

The numbers that lie between 100 and 1000 which are divisible by 14 are 112, 126,140 …,994
a = 112; l = 994, d = 14
n= (l−a)/d+1
= (994-112)/14+1
= 64
Sn=n/2(l+a)
= 64/2(994+112)
= 32*1106
= 35392

Ques:- About my family and kids?
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Ques:- WHAT YOU HAVE DONE IN YOUR SUMMER TRAINING
Ques:- A husband and wife has a combined age of 91.the husband is now twice as old as his wife was when he was as old as she is now. How old are they?
Recent Answer : Added by Admin On 2020-05-17 12:04:21:

ans is C.
let H be present age of husaband.W be present age of wife.
H+W=91.
now let diff between their ages be x.that is H-W=x.
now when husband is W yaers old, his wife must be W-x years
old.and it is given that H=2(W-x). so 2W-H=2x. and H-
W=x.eliminating x we get 4W=3H. but H+W=91, so solving thse
two H=52 W=39.

Ques:- A man spends half of his salary on household expenses, 1/4th for rent, 1/5th for travel expenses, the man deposits the rest in a bank. If his monthly deposits in the bank amount 50, what is his monthly salary ?(a) Rs.500(b) Rs.1500(c) Rs.1000(d) Rs. 900
Recent Answer : Added by DK BOSS On 2021-07-17 06:22:58:

option c is the answer
as
1/2 for household
1/4 for rent
1/5 for travel
remaining for deposit in bank(i.e) 1/2+1/4+1/5=19/20 ; 1-19/20=1/20
so 1/20 for deposit
1/20(x)=50
hence x=1000
option c is the answer

Ques:- If a vessel contains 56 lit of a mixture of milk and water in ratio3:2.what amount of the water should be added to make the ratio 4:5 ?
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Ques:- In a race if A beat B by 15m, A beat C by 25m and in a race between B and C, B beat C by 15m.Find the length of the tracks.
Ques:- The average of 11 results is 50, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?
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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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