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If one root of the quadratic equation 3x^{2}  10x + p = 0 is 1 3 , then the value of p and other root respectively are
Let 1/3 , α be the roots of the
x^{2} varies directly as y^{3} and when x=6,y=3.Which of the following equation correctly represents the relationship between x and y?
x^{2} ∝ y^{3}
⇒ x^{2} = Ky^{3}
or, x = 6, y = 3
⇒ K = 4/3
So, 3x^{2} = 4y^{3}
The area of the circumcircle of the equilateral triangle whose one side lies on the diagonal of a square with side 4 cm is (use π = 3.14)
Size of a tile is 9 inches by 9 inches. The number of tiles needed to cover a floor of 12 feet by 12 feet is
Length of floor = 12 feet
Breath of floor = 12 feet
So Area of floor = 12 × 12 = 144 feet
Area of tile = 9/12 × 9/12 = 9/16 feet
Area of a square field is 1 hectare. The length of another square field is 1% more than the length of this square field. The difference in their areas is
1 hectare = 10000 m^{2}
Area of a square field = 10000 m^{2}
let length of a square field be x m
then x^{2} = 10000
x = 100m
length of other square field = 100 + 100 x 1/100 = 101
Area of Another square field = (101)^{2} = 10201 m^{2}
∴ Difference in their areas = 10201  10000
= 201 m^{2}
The average of three numbers is 135. The largest number is 180 and the difference of the others is 25. The smallest number is
⇒ x + y + z = 405
But let x = largest number i.e. 180
⇒ y + z = 225 .....(1)
Also, y  z = 25 .....(2)
Solving (1) and (2)
We get 2y = 250
⇒ y = 125
⇒ z = 125  25 = 100
Hence, the smallest number among the three numbers is 100
The value of [(0.051×0.051×0.051+0.041×0.041×0.041)/(0.051×0.0510.051×0.041+0.041×0.041)] is :
In the given figure AD bisects ΔBAC. If AB = 10 cm, AC = 6 cm and BD = 12cm, then length of CD is
By internal angle bisector theorem, the bisector of vertical angle of triangle divides the base in the ratio of the other two sides
What percentage of numbers from 1 to 70 have squares that end in the digit 1?
The numbers which have 1 or 9 in the unit's digit, have squares that end in the digit 1.
Such numbers from 1 to 70 are 1, 9, 11, 19, 21, 29, 31, 39, 41, 49, 51, 59, 61, 69
Number of such number = 14
∴ Required percentage = (14/70 × 100)% = 20%
A man gains 20% by selling an article for a certain price. If he sells it at double the price, the percentage of profit will be:
A man purchased a box full of pencils at the rate of 7 for Rs 9 and sold all of them at the rate of 8 for Rs 11. In this transaction, he gained Rs. 10. How many pencils did the box contain?
Rs 6400 are divided among three workers in the ratio The share of the second worker (in rupees)is
A gun is fired at a distance of 3.32 km from Barbar. He hears the sound 10 sec later. Find the speed of the sound.
Distance = 3.32 × 1000 = 3320 m
Time = 10s
∴ Speed = 3320/10 = 332 m/s
If 4 workers can make 42 toys in 6 days, how many toys can 12 workers make in 3 days?
What is the volume of a cube (in cubic cm) whose diagonal measures 4√3 cm?
Length of the diagonal of the cube = 4√3 cm
So side = 4cm
Volume = (4)^{3} = 64 cubic cm
The above graph shows the number of 5 Star Hotels in Delhi from 2000 to 2004. Observe the above line graph and answer the following question:
Q. Percentage increase in the number of 5Star Hotels in 2004 as compared to 2000 is
The above graph shows the number of 5 Star Hotels in Delhi from 2000 to 2004. Observe the above line graph and answer the following question:
Q. What percentage of number of 5star hotels in 2000 is the number in 2004?
The above graph shows the number of 5 Star Hotels in Delhi from 2000 to 2004. Observe the above line graph and answer the following question:
Q. The ratio of number of 5star hotels in 2001 to the number of 5star hotels in 2003 is:
Required ratio = 18 : 28 = 9 : 14
The above graph shows the number of 5 Star Hotels in Delhi from 2000 to 2004. Observe the above line graph and answer the following question:
Q. The year in which growth as compared to the previous year is maximum in
Clearly maximum growth is in 2003 (+8)
Percentage of students in various courses(A,B,C,D,E,F) and Percentage of girls out of these.
Total Students : 1200
(800 girls + 400 boys)
Percentage in various courses
Q. For which course is the number of boys the minimum ?
Percentage of students in various courses(A,B,C,D,E,F) and Percentage of girls out of these.
Total Students : 1200
(800 girls + 400 boys)
Percentage in various courses
Q. How many girls are there in course C ?
Percentage of students in various courses(A,B,C,D,E,F) and Percentage of girls out of these.
Total Students : 1200
(800 girls + 400 boys)
Percentage in various courses
Q. For course D what is the respective ratio of boys and girls ?
Percentage of students in various courses(A,B,C,D,E,F) and Percentage of girls out of these.
Total Students : 1200
(800 girls + 400 boys)
Percentage in various courses
Q. For which pair of courses is the number of boys the same ?
Percentage of students in various courses(A,B,C,D,E,F) and Percentage of girls out of these.
Total Students : 1200
(800 girls + 400 boys)
Percentage in various courses
Q. For course E, the number of girls is how much percent more than the boys for course E ?
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