30 Questions
What are the radii of the top and bottom circular ends of the bucket?
20 cm and 12 cm
What is the value of π used in the calculation of the bucket's area?
3.14
In a right triangle, what relationship holds true between the square of the hypotenuse and the sum of the squares of the other two sides?
Square of hypotenuse = Sum of squares of other two sides
If 1 + sin²θ = 3sinθcosθ, what does this imply about tanθ?
tanθ = 1
What happens when a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points?
The other two sides are divided in the same ratio
What is the key property of a 'more than type' ogive in statistical distributions?
'More than type' shows cumulative frequencies greater than the given class interval
In the first scenario provided, what is the height of the building the girl is standing on?
20 meters
In the second scenario, what is the angle of elevation of the aeroplane from point A initially?
60 degrees
According to the second scenario, what is the final height of the plane after 30 seconds of flight?
$3600 oot{3}$ meters
For the frequency distribution table, if N = 100 and the median is 32, find the frequency for students with marks in the range 40 - 50.
15
What is the value of frequency 'y' in the frequency distribution table when the marks range from 10 to 20?
23
When calculating the median for the frequency distribution, what should be the value of frequency 'x' for students with marks between 0 - 10?
$5$
What is the value of 'k' that would make the pair of equations x + 2y = 5 and 3x + ky + 15 = 0 have a unique solution?
k = -6
In a pair of supplementary angles, if the larger angle exceeds the smaller one by 18 degrees, what are the measures of the two angles?
108°, 90°
Sumit is 3 times as old as his son. Five years later, he will be two and a half times as old as his son. How old is Sumit at present?
30 years old
What is the mode of the given frequency distribution?
42
If 2 + 5√3 is an irrational number, what can be said about √3?
It is an irrational number
In the equation x + 2y = 5, what would happen if 'k' value is such that it makes the determinant of the coefficient matrix zero?
'k' results in infinitely many solutions
If the HCF of 336 and 54 is 6, what is the LCM of 336 and 54?
504
What is the nature of roots of the quadratic equation 2x^2 - 4x + 3 = 0?
Complex
Find the common difference of the Arithmetic Progression: 1/3 - a, 1/3, 5/3.
-2/3
If sin A = 3/4, what is sec A?
4/3
Given sin A = 5/x, where x is not equal to 0, what are the coordinates of a point P on the x-axis equidistant from A(-2, 0) and B(6, 0)?
(2, 0)
In an isosceles triangle ABC, right-angled at C with AC = 4 cm, what is the length of AB if AC = BC?
3.2 cm
What time is the question paper distributed to the students?
10:15 a.m.
How much time is allotted for the students to read the question paper?
15 minutes
How many questions are there in the question paper?
30 questions
What should the candidate do with the code number on the question paper?
Write it on the answer-book cover
How many hours are allocated for completing the exam?
3.5 hours
Which section of the question paper has the highest number of questions?
Section A
Calculate the height of a bucket with specific radii for its top and bottom circular ends, and determine the area of the metal sheet used in making the bucket. The value of π is given as 3.14.
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