Geometry and Trigonometry MCQ Quiz in বাংলা - Objective Question with Answer for Geometry and Trigonometry - বিনামূল্যে ডাউনলোড করুন [PDF]
Last updated on Apr 8, 2025
Latest Geometry and Trigonometry MCQ Objective Questions
Top Geometry and Trigonometry MCQ Objective Questions
Geometry and Trigonometry Question 1:
The circle above with center O has a circumference of 40.
What is the length of minor arc
A. 9
B. 10
C. 18
D. 36
Answer (Detailed Solution Below)
Geometry and Trigonometry Question 1 Detailed Solution
Choice B is correct. A circle has 360 degrees of arc. In the circle shown, O is the center of the circle and ∠AOC is a central angle of the circle. From the figure, the two diameters that meet to form ∠AOC are perpendicular, so the measure of ∠AOC is 90°.
Therefore, the length of minor arc
Since the circumference of the circle is 40, the length of minor arc
Geometry and Trigonometry Question 2:
The circle above with center O has a circumference of 64.
What is the length of minor arc
A. 16
B. 12
C. 18
D. 36
Answer (Detailed Solution Below)
Geometry and Trigonometry Question 2 Detailed Solution
Choice A is correct. A circle has 360 degrees of arc. In the circle shown, O is the center of the circle and ∠AOC is a central angle of the circle. From the figure, the two diameters that meet to form ∠AOC are perpendicular, so the measure of ∠AOC is 90°.
Therefore, the length of minor arc
Choices B, C, and D are incorrect. The perpendicular diameters divide the circumference of the circle into four equal arcs; therefore, minor arc
Geometry and Trigonometry Question 3:
The glass pictured above can hold a maximum volume of 664 cubic centimeters, whic. What is the value of k, in centimeters?
A. 2.52
B. 7.67
C. 11.32
D. 10.11
Answer (Detailed Solution Below)
Geometry and Trigonometry Question 3 Detailed Solution
Choice 4 is correct. Using the volume formula
Therefore, the value of k is approximately 11.32 centimeters.
Geometry and Trigonometry Question 4:
The glass pictured above can hold a maximum volume of 400 cubic centimeters. What is the value of k, in centimeters?
A. 9.56
B. 7.67
C. 7.79
D. 10.11
Answer (Detailed Solution Below)
Geometry and Trigonometry Question 4 Detailed Solution
Choice 1 is correct.
Using the volume formula
Therefore, the value of k is approximately 9.56 centimeters.
Geometry and Trigonometry Question 5:
The figure shows the lengths, in centimeters cm, of the edges of a right rectangular prism. The volume V of a right rectangular prism is ℓwh, where ℓ is the length of the prism, w is the width of the prism, and h is the height of the prism. What is the volume, in cubic centimeters, of the prism?
A. 160
B. 240
C. 120
D. 110
Answer (Detailed Solution Below)
Geometry and Trigonometry Question 5 Detailed Solution
Choice 1 is correct.
It's given that the volume of a right rectangular prism is ℓwh. The prism shown has a length of 5 cm, a width of 8 cm, and a height of 4 cm .
Thus, ℓwh = (5)(8)(4), or 160 cubic centimeters.
Geometry and Trigonometry Question 6:
The figure shows the lengths, in centimeters cm, of the edges of a prism. The volume V of a right rectangular prism is ℓwh, where ℓ is the length of the prism, w is the width of the prism, and h is the height of the prism. What is the volume, in cubic centimeters, of the prism?
A. 360
B. 240
C. 120
D. 250
Answer (Detailed Solution Below)
Geometry and Trigonometry Question 6 Detailed Solution
Choice 4 is Correct.
It's given that the volume of a prism is ℓwh. The prism shown has a length of 5 cm, a width of 5 cm, and a height of 10 cm.
Thus, ℓwh = (5)(5)(10), or 250 cubic centimeters.
Geometry and Trigonometry Question 7:
The figure shows the lengths, in centimeters cm, of the edges of a right rectangular prism. The volume V of a right rectangular prism is ℓwh, where ℓ is the length of the prism, w is the width of the prism, and h is the height of the prism. What is the volume, in cubic centimeters, of the prism?
A. 36
B. 24
C. 66
D. 11
Answer (Detailed Solution Below)
Geometry and Trigonometry Question 7 Detailed Solution
Choice 3 is correct.
It's given that the volume of a right rectangular prism is ℓwh. The prism shown has a length of 11 cm, a width of 2 cm, and a height of 3 cm .
Thus, ℓwh = (11)(2)(3), or 66 cubic centimeters.
Geometry and Trigonometry Question 8:
The triangle shown has a perimeter of 25 units. If x = 10 units and y = 8 units, what is the value of z, in units?
A. 6
B. 7
C. 9
D. 16
Answer (Detailed Solution Below)
Geometry and Trigonometry Question 8 Detailed Solution
Choice 2 is correct.
The perimeter of a triangle is the sum of the lengths of its three sides. The triangle shown has side lengths x, y, and z. It's given that the triangle has a perimeter of 25 units. Therefore, x + y + z = 25. If x = 10 units and y = 8 units, the value of z, in units, can be found by substituting 10 for x and 8 for y in the equation x + y + z = 25, which yields 10 + 8 + z = 25, or 18 + z = 25. Subtracting 18 from both sides of this equation yields z = 7.
Therefore, if x = 10 units and y = 8 units, the value of z, in units, is 7.
Geometry and Trigonometry Question 9:
The triangle shown has a perimeter of 20 units. If x = 8 units and y = 5 units, what is the value of z, in units?
A. 6
B. 7
C. 9
D. 16
Answer (Detailed Solution Below)
Geometry and Trigonometry Question 9 Detailed Solution
Choice 2 is correct.
The perimeter of a triangle is the sum of the lengths of its three sides. The triangle shown has side lengths x, y, and z. It's given that the triangle has a perimeter of 20 units. Therefore, x + y + z = 20. If x = 8 units and y = 5 units, the value of z, in units, can be found by substituting 8 for x and 5 for y in the equation x + y + z = 20, which yields 8 + 5 + z = 20, or 13 + z = 20. Subtracting 16 from both sides of this equation yields z = 7.
Therefore, if x = 8 units and y = 5 units, the value of z, in units, is 7 .
Geometry and Trigonometry Question 10:
The triangle shown has a perimeter of 32 units. If x = 13 units and y = 10 units, what is the value of z, in units?
A. 6
B. 7
C. 9
D. 16
Answer (Detailed Solution Below)
Geometry and Trigonometry Question 10 Detailed Solution
Explanation:
The perimeter of a triangle is the sum of the lengths of its three sides. The triangle shown has side lengths x, y, and z. It's given that the triangle has a perimeter of 32 units.
Therefore, x + y + z = 32. If x = 13 units and y = 10 units, the value of z, in units, can be found by substituting 13 for x and 10 for y in the equation x + y + z = 32, which yields 13 + 10 + z = 32, or 23 + z = 32. Subtracting 23 from both sides of this equation yields z = 9.
Therefore, if x = 13 units and y = 10 units, the value of z, in units, is 9.
Hence Option(3) is correct.