Geometry, Mensuration & Trigonometry - Previous Year CUET Questions
You can practice all previous year CUET questions from the topic Geometry, Mensuration & Trigonometry. This will help you understand the type of questions asked in CUET. It would be best if you clear your concepts before you practice previous year CUET questions.
From the figure, what is the value of x?
- A.
50°
- B.
120°
- C.
60°
- D.
70°
Answer: Option D
Explanation :
Workspace:
The area of a circle is numerically equal to its circumference. Find the diameter of the circle.
- A.
2 units
- B.
4 units
- C.
1 unit
- D.
5 units
Answer: Option B
Explanation :
Workspace:
Find the angle of elevation of the Sun, when the length of the shadow of a tree is 1/√3 times the height of the tree.
- A.
30°
- B.
45°
- C.
60°
- D.
90°
Answer: Option C
Explanation :
Workspace:
Find the perimeter of a rhombus whose one diagonal is 16 cm long and area is 240 cm2.
- A.
68 cm
- B.
30 cm
- C.
24 cm
- D.
36 cm
Answer: Option A
Explanation :
Workspace:
The point (-2, 3) lies in which quadrant?
- A.
I
- B.
II
- C.
III
- D.
IV
Answer: Option B
Explanation :
Workspace:
The angle of elevation of the sun, when the length of the shadow of a tree √3 times the height of the tree, is:
- A.
30°
- B.
45°
- C.
60°
- D.
90°
Answer: Option A
Explanation :
Workspace:
If each side of a cube is reduced by 50%, the surface area will reduced by.
- A.
75%
- B.
50%
- C.
25%
- D.
100%
Answer: Option A
Explanation :
Let the initial side of the cube be 2 cm.
∴ Total surface area initially = 6 × 22 = 24 cm2.
Now the new side of the cube is 1 cm.
∴ Total surface area now = 6 × 12 = 6 cm2.
⇒ % change in total surface area = (24 - 6)/24 × 100% = 75%
Hence, option (a).
Workspace:
In the given figure ABCD is a rhombus, the value of x is.
- A.
40°
- B.
50°
- C.
90°
- D.
60°
Answer: Option B
Explanation :
In a rhombus opposite angles are equal and adjacent angles are complementary while diagonals bisect respective angles.
∴ ∠DAC = 40° ⇒ ∠DAB = 80° ⇒ ∠ADC = 180° - 80° = 100°
⇒ ∠BDC = 1/2 × 100° = 50°
Hence, option (b).
Workspace:
In the given figure l ∥ m ∥ n, the value of x is
- A.
80°
- B.
70°
- C.
60°
- D.
50°
Answer: Option D
Explanation :
Workspace:
Comprehension:
A rectangular paper of width 8 cm and length 22 cm rolled along it width and a cylinder is formed.
On the above Intimation, Solve the question given below
The radius of the cylinder is
- A.
2/7 cm
- B.
7 cm
- C.
7/2 cm
- D.
14 cm
Answer: Option C
Explanation :
The length of the rectangle now becomes the circumference of the base of the cylinder.
Let r be the radius of the base of the cylinder.
⇒ 22 = 2 × 22/7 × r
⇒ r = 3.5 cm
Hence, option (c).
Workspace:
If the outer surface area of cylinder is painted @ Rs. 0.5/cm2, then the total cost of painting is
- A.
Rs. 88
- B.
Rs. 176
- C.
Rs. 78
- D.
Rs. 186
Answer: Option A
Explanation :
Workspace:
The volume of cylinder is
- A.
98 cm3
- B.
49π cm3
- C.
49 cm3
- D.
98π cm3
Answer: Option D
Explanation :
Volume of cylinder = π × r2 × h
r = 7/2 and height = width of the rectangle = 8
⇒ Volume of cylinder = π × (7/2)2 × 8
= 98π cm3
Hence, option (d).
Workspace:
If the area and sum of parallel side of a trapezium are 48 cm2 and 48 cm respectively. Then the distance between the parallel sides is
- A.
1/2 cm
- B.
1 cm
- C.
2 cm
- D.
3 cm
Answer: Option C
Explanation :
Workspace:
If the volume of a cube is 27 cm3, then the diagonal of cube is
- A.
3 cm
- B.
3√3 cm
- C.
√3 cm
- D.
1/√3 cm
Answer: Option B
Explanation :
Workspace:
Study the adjoining picture and answer the following questions :
The area of Δ ABF is.
- A.
180 m2
- B.
90 m2
- C.
125 m2
- D.
60 m2
Answer: Option B
Explanation :
Workspace:
The area of Trapezum DGCE is.
- A.
100 m2
- B.
260 m2
- C.
70 m2
- D.
130 m2
Answer: Option D
Explanation :
Workspace:
Area of Δ AFC is.
- A.
85 m2
- B.
75 m2
- C.
125 m2
- D.
250 m2
Answer: Option C
Explanation :
Workspace:
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