Ques:- The length of the base of a triangle is three times the height. The area of the triangle is 24 square inches. Find the length of the base of the triangle. (Area=1/2bh)
Recent Answer : Added by Admin On 2020-05-17 12:05:17:
length of the base=3 times height
b=3h;
h=b/3;
so, 1/2bh=24
1/2b(b/3)=24
(b^2)/6=24
b^2=144
b=12
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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:- A four digit number is divisible by 7 becomes divisible by 3, when 10 is added to it. The largest such number is
A. 9947
B. 9987
C. 9989
D. 9996
Recent Answer : Added by narendra On 2022-09-18 09:02:02:
c
Ques:- The area of a sector of a circle of radius 5 cm formed by an arc of length 3.5 cm is?
Recent Answer : Added by Tayyab On 2021-12-24 03:28:00:
Pi * radius * radius
3.14 * 5 * 5
Ques:- Where you worked first
Ques:- Two trains starting at same time, one from Bangalore to Mysore and other in opposite direction arrive at their destination 1 hr and 4 hours respectively after passing each other.How nuch faster is one train from other?
Recent Answer : Added by Admin On 2020-05-17 12:04:20:
Its 2 times faster than the other train
v1*t=v2
v2*t=4*v1
solving these two,we get
v2/v1=2
Recent Answer : Added by Richa Ashu On 2022-08-14 16:31:41:
128
Ques:- Briefly describe your ideal job?
Ques:- A can do a piece of work in 20 days. B in 15 days A and C in 12 days. In how many days can A finish the work if he is assisted by B on one day and C on the next, alternately?
Recent Answer : Added by DIPALI On 2022-05-17 09:08:44:
A will finish work in 8 days (4days with B and 4 days with C).
Ques:- The average age of seven persons sitting in a row facing east is 28 years. If the average age of the first three persons is 21 years and the average age of the last three persons is 34 years, then find the age of the person sitting in the middle of the row?
Recent Answer : Added by V Revanth Royal On 2021-08-16 15:51:28:
31yrs
Ques:- You have 4218 no of balls. put 1 balls at top layer 3 at 2nd top layer then 6 and then 10 … Continue in this way. How many layers are possible.?
Recent Answer : Added by xyz On 2021-07-31 16:35:47:
211
Ques:- 10 camels cost as much as 24 horses, 16 horses cost as much as 4 oxen and 6 oxen as much as 4 elephants. If the cost of 10 elephants is Rs.170000, find the cost of a camel?
Recent Answer : Added by Admin On 2022-09-29 15:16:53:
10 Camels = 68000
Ques:- Tell me something about myself?
Ques:- Five farmers have 7, 9, 11, 13 & 14 apple trees, respectively in their orchards. Last year, each of them discovered that every tree in their own orchard bore exactly the same number of apples. Further, if the third farmer gives one apple to the first, and the fifth gives three to each of the second and the fourth, they would all have exactly the same number of apples. What were the yields per tree in the orchards of the third and fourth farmers?
Recent Answer : Added by John Rony On 2021-06-23 17:56:01:
So we consider the 2nd statement first. We can form an equation out of it.
14x-6=13y+3=9z+3
Using this, we can understand that the multiple of 14 and the multiple of 13 and 9 must have a difference of 9. The easiest way to ensure that is multiplying it by 9
14*9=126
13*9=117
If the 5th farmer gives 3 apples to the 4th farmer, they would have 123 and 120 apples respectively. However, we also know that the 2nd farmer has 117 apples (13*9=117, and this is a multiple of 9) if the 5th farmer gives 3 apples too the 2nd farmer, the 3rd, 4th and 5th farmers would have 120 apples each.
Now that we got 120, we should check if the first part of the question makes sense along with it. The equation would be
7a+1=11b-1=120
We know that 11*11=121 and 7*17=119. When we add 1 to 119 and subtract 1 from 121, we get 120 for each. In this way, all the farmers have 120 apples each.
Therefore, the 3rd farmer had a yield of 11 per tree and the 4th farmer had a yield of 9 per tree.
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Ques:- One train is traveling 45 kmph and other is at 10 meters a second. What is the ratio of the speed of the two trains ?
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Ques:- How many cubes of edge 2 dm can be cut out of a meter cube?
Recent Answer : Added by SHRADDHA NANDKISHOR BANGARE On 2020-07-29 09:55:49:
8 cubes
Ques:- The difference between the local value and the face value of 7 in the numeral 32675149 is
A. 5149
B. 64851
C. 69993
D. 75142
Recent Answer : Added by Neha Bargal On 2021-11-22 18:44:56:
The local value of 7 in the number is at 10000 so 7×10000 and face of 7 is 7
So 70000 -7 so the answer is C 69993
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length of the base=3 times height
b=3h;
h=b/3;
so, 1/2bh=24
1/2b(b/3)=24
(b^2)/6=24
b^2=144
b=12