Bucket Geometry and Metal Sheet Area Calculation

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Questions and Answers

What are the radii of the top and bottom circular ends of the bucket?

  • 20 cm and 12 cm (correct)
  • 12 cm and 20 cm
  • 20 cm and 32 cm
  • 32 cm and 20 cm

What is the value of π used in the calculation of the bucket's area?

  • 3.142
  • 3.141
  • 3.12
  • 3.14 (correct)

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
  • No specific relationship
  • Square of hypotenuse = Sum of squares of other two sides (correct)
  • Square of hypotenuse < Sum of squares of other two sides

If 1 + sin²θ = 3sinθcosθ, what does this imply about tanθ?

<p>tanθ = 1 (B)</p> Signup and view all the answers

What happens when a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points?

<p>The other two sides are divided in the same ratio (C)</p> Signup and view all the answers

What is the key property of a 'more than type' ogive in statistical distributions?

<p>'More than type' shows cumulative frequencies greater than the given class interval (D)</p> Signup and view all the answers

In the first scenario provided, what is the height of the building the girl is standing on?

<p>20 meters (A)</p> Signup and view all the answers

In the second scenario, what is the angle of elevation of the aeroplane from point A initially?

<p>60 degrees (A)</p> Signup and view all the answers

According to the second scenario, what is the final height of the plane after 30 seconds of flight?

<p>$3600 oot{3}$ meters (C)</p> Signup and view all the answers

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.

<p>15 (D)</p> Signup and view all the answers

What is the value of frequency 'y' in the frequency distribution table when the marks range from 10 to 20?

<p>23 (D)</p> Signup and view all the answers

When calculating the median for the frequency distribution, what should be the value of frequency 'x' for students with marks between 0 - 10?

<p>$5$ (A)</p> Signup and view all the answers

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?

<p>k = -6 (D)</p> Signup and view all the answers

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?

<p>108°, 90° (B)</p> Signup and view all the answers

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?

<p>30 years old (B)</p> Signup and view all the answers

What is the mode of the given frequency distribution?

<p>42 (B)</p> Signup and view all the answers

If 2 + 5√3 is an irrational number, what can be said about √3?

<p>It is an irrational number (A)</p> Signup and view all the answers

In the equation x + 2y = 5, what would happen if 'k' value is such that it makes the determinant of the coefficient matrix zero?

<p>'k' results in infinitely many solutions (B)</p> Signup and view all the answers

If the HCF of 336 and 54 is 6, what is the LCM of 336 and 54?

<p>504 (D)</p> Signup and view all the answers

What is the nature of roots of the quadratic equation 2x^2 - 4x + 3 = 0?

<p>Complex (D)</p> Signup and view all the answers

Find the common difference of the Arithmetic Progression: 1/3 - a, 1/3, 5/3.

<p>-2/3 (D)</p> Signup and view all the answers

If sin A = 3/4, what is sec A?

<p>4/3 (A)</p> Signup and view all the answers

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)?

<p>(2, 0) (B)</p> Signup and view all the answers

In an isosceles triangle ABC, right-angled at C with AC = 4 cm, what is the length of AB if AC = BC?

<p>3.2 cm (A)</p> Signup and view all the answers

What time is the question paper distributed to the students?

<p>10:15 a.m. (C)</p> Signup and view all the answers

How much time is allotted for the students to read the question paper?

<p>15 minutes (B)</p> Signup and view all the answers

How many questions are there in the question paper?

<p>30 questions (D)</p> Signup and view all the answers

What should the candidate do with the code number on the question paper?

<p>Write it on the answer-book cover (A)</p> Signup and view all the answers

How many hours are allocated for completing the exam?

<p>3.5 hours (A)</p> Signup and view all the answers

Which section of the question paper has the highest number of questions?

<p>Section A (C)</p> Signup and view all the answers

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