Fengate Interview Questions, Process, and Tips

Ques:- A polygon has maximum 1325 diagonals. How many vertices does it have?
Recent Answer : Added by DK BOSS On 2021-07-15 08:05:23:

The formula to find number of diagonals (D) given total number of vertices or sides (N) is

N * (N – 3)

D = ———–

2

Using the formula, we get
1325 * 2 = N * (N – 3)
N2 – 3N – 2650 = 0

Solving the quadratic equation, we get N = 53 or -50

It is obvious that answer is 53 as number of vertices can not be negative.

Alternatively, you can derive the formula as triange has 0 diagonals, quadrangel has 2, pentagon has 5, hexagon has 9 and so on……

Hence the series is 0, 0, 0, 2, 5, 9, 14, …….. (as diagram with 1,2 or 3 vertices will have 0 diagonals).

Using the series one can arrive to the formula given above.

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 VSEC_me On 2022-08-14 16:34:00:

Let the total rotations be x:
So the distance covered by both the wheels will be same,
9 * x = 7 * (x + 10)
x = 35 rotations
distance travelled = 9 * 35 = 7 * (35 + 10) = 315 feet

Ques:- A person lent a certain sum of money at 4% per annum at simple interest and in 8 years the interest amounted to Rs.340 less than the sum lent. What was the sum lent?
Recent Answer : Added by Manik On 2022-04-02 06:59:40:

X-340 = X x 4 x 8/ 100

100X – 34000 = 32X
68X = 34000
X = 34000/68
X= 500.

Ques:- A man purchases 8 pens for Rs.9 and sells 9 pens for Rs.8, how much profit or loss does he make?
Recent Answer : Added by Ayanavo Lahiri On 2022-03-18 09:20:27:

2.01

Ques:- January 1, 1995 was a Sunday. What day of the week lies on January 1, 1996?
A. Saturday
B. Sunday
C. Monday
D. Tuesday
Recent Answer : Added by Yashwanth On 2022-05-17 08:56:42:

C. Monday
A year has 52 weeks and every week has 7 days.
We just add up one day to the present day of the year and that would automatically act as the day of the next year.
In case of leap years in between, one extra day gets added in the entire year making it 366 days instead of 365 days in an ordinary year and we add two days in that case.

Ques:- A is thrice as efficient as B and is, therefore, able to finish a piece of work 10 days earlier than B. In how many days A and B will finish it together?
Recent Answer : Added by Abhi Chatterjee On 2022-01-08 16:05:10:

Let n be the number of days it takes A and B, working together, to finish. And we know B=A+10 and B=3A, so:

3A=A+10

2A=10

A=5

Then B=15

So:

1/A + 1/B=1/n where n is the total amount of days. So:

1/5 + 1/15=1/n

3n+n=15

n=15/4 days

Ques:- Number Series 7,16,9,15,11,14,?
Recent Answer : Added by Admin On 2020-05-17 12:01:30:

First nos series is 7,9,11,?
ie odd number siries ie 7,9,11,13
Second number series is 16,15,14
ie 1 less the previous number 16,15,14,13
Ans —-series is 7,16,9,15,11,14,13,13

Ques:- A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is?
Recent Answer : Added by Shitoshe Wangatia On 2021-12-11 15:07:20:

Simple interest Formula:
A=P(1+rt)
Therefore,
815=P(1+3r)
P+3r=815

854=P(1+4r)
P+4r=854
Solve the sums using Elimination method.
P+4r=854
P+3r=815
r=39.
Toget Principal
P+4r=854
P+4*39=854
P=854-117
P=698

Ques:- What number comes next in the sequence: 10, 9, 60, 90, 70, 66?
Recent Answer : Added by DK BOSS On 2021-07-16 09:53:06:

This is a sequence of English letters, in numbers.

⇒ ten = 3 letters

⇒ nine = 4 letters

⇒ sixty = 5 letters

⇒ ninety = 6 letters

⇒ seventy = 7 letters

⇒ Sixty six =8 letters

⭕️This logical question goes with the no. of letters in the number!!!!!!!

⭕️∴ the biggest number with 9 letters will be ninety-six (96).

Ques:- A sum of Rs. 390 was divided among 450 boys and girls. Each girl gets 50 paise and each boy gets one rupee. How many girls are there among them?
A. 100
B. 110
C. 120
D. 130
Recent Answer : Added by Avinash Kumar On 2022-04-02 07:00:09:

120

Ques:- Which one of the following is known as the Coffee port ofthe world?
A. Sao Paulo
B. Buenos Aires
C. Rio de Janeiro
D. Santos
Scroll to top