Ques:- There are two families Alens and smiths. They have two children each. There names are A,B,C,D whose ages are different and ages are less then or equal to 11. The following conditions are given:-i) A's age is three years less then his brother's age .ii) B is eldest among the four.iii) C is half the age of the eldest in Alens family.iv) The difference in sum of the ages of Alens children and smiths children is same as that of five years ago.Find the ages of all the children.
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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:- The first metal to be used by man was
B. Alluminium
C. Iron
D. Silver
E. Copper
Recent Answer : Added by Admin On 2022-09-27 17:56:44:
E. Copper
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Recent Answer : Added by Sofia On 2021-11-18 17:15:50:
Chi-ca-go
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Recent Answer : Added by pankaj On 2022-05-17 09:08:20:
sorry this question is irrelevant.
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Ques:- How soon can you travel down to any Location posted U?
Recent Answer : Added by Shaik Mohammad Javeed On 2021-11-18 17:15:42:
C)1440
2*2=4
4*3=12
12*4=48
48*5=240
240*6=1440
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Ques:- A certain sum of money is divided among X, Y and Z so that for each Rs. X has, Y has 65 paisa and Z 40 paisa. If Z’s share is Rs.40, find the sum of money?
Recent Answer : Added by vinita On 2022-08-14 16:32:00:
total sum = 205 Rs.
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Recent Answer : Added by Gaurav Borse On 2021-10-12 12:52:50:
Its Alphabet “e”
Ques:- A works thrice as much as B. If A takes 60 days less than B to do a work then find the number of days it would take to complete the work if both work together?
Ques:- A man decides to buy a nice horse. He pays $60 for it, and he is very content with the strong animal. After a year, the value of the horse has increased to $70 and he decides to sell the horse. But already a few days later he regrets his decision to sell the beautiful horse, and he buys it again. Unfortunately he has to pay $80 to get it back, so he loses $10. After another year of owning the horse, he finally decides to sell the horse for $90. What is the overall profit the man makes?
Recent Answer : Added by Meghna Bardhan On 2021-07-14 14:29:37:
$20
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Ques:- When x is real what is the least value of (x**2-6*x+5)/(x**2+2*x+1)
Recent Answer : Added by Admin On 2020-05-17 12:01:23:
(x**2 – 6* x + 5) = (x-1)*(x-5)
(x**2 + 2 * x + 1) = (x + 1) * (x+1) = (x+1)**2
For what x is (x-1)*(x-5)/( (x+1)**2) a minimum?
One way to answer this question is by using calculus.
Take the derivative, and set to zero.
Since this is a fraction of polynomials, and a fraction is
zero only if it’s numerator is zero, we need calculate only
the numerator of the derivative and set it to zero.
The numerator of the
Derivative of (x-1)*(x-5)/( (x+1)**2) is
( (x-1) + (x-5) ) ( x+1)**2 – (x-1)(x-5)( 2 (x+1) )
= (2 x – 6) (x+1)**2 – (2) (x-1)(x-5) (x+1)
= 0
Divide through by 2 (x+1)
(x-3)(x+1) – (x-1)(x-5) = 0
(x**2 – 2 x – 3 ) – (x**2 – 6 x + 5) = 0
x**2 – x**2 – 2 x + 6 x – 3 – 5 = 0
4 x – 8 = 0
x = 2
Plugging in x = 2 into the original
(x**2-6*x+5)/(x**2+2*x+1)
gives us (2**2 – 6 * 2 + 5)/(2**2 + 2*2 + 1)
= (4 – 12 + 5) / (4 + 4 + 1) = -3/9 = -1/3
Least value is -1/3
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.