Mental Ability-Basic Geometry [NCO- Cyber Olympiad (SOF) Class 10]: Questions 1 - 6 of 57
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Question 1
Question MCQ▾
The Volume of a solid metallic sphere is 2512 . It is melted and recast into solid right circular cones of radius 5 cm and height 16 cm. Calculate the number of cones recast.
Choices
Choice (4) | Response | |
---|---|---|
a. | 9 | |
b. | 6 | |
c. | 8 | |
d. | 7 |
Question 2
Question MCQ▾
In the figure drawn below, and are parallel and . What is ?
Choices
Choice (4) | Response | |
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a. | ||
b. | ||
c. | ||
d. |
Question 3
Question MCQ▾
The minute hand of a clock is 20 cm long. Find the area of the face of the clock described by the minute hand between 8 AM and 8.35 AM.
Choices
Choice (4) | Response | |
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a. | ||
b. | ||
c. | ||
d. |
Question 4
Question MCQ▾
Calculate the area of the shaded portion. The quadrants shown in the figure are each of radius 14 cm. Take .
Choices
Choice (4) | Response | |
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a. | ||
b. | ||
c. | ||
d. |
Question 5
Question MCQ▾
The top of a ladder is leaning against a building at a point 24 feet above the ground; the bottom of the ladder is 10 feet from the building. What is the length of the ladder?
Choices
Choice (4) | Response | |
---|---|---|
a. | 26 ft | |
b. | 34 ft | |
c. | 14 ft | |
d. | 38 ft |
Question 6
Question MCQ▾
The ratio of radii of two cylinders is and heights are in the ratio 3: 5. The ratio of volumes is
Choices
Choice (4) | Response | |
---|---|---|
a. | 3: 4 | |
b. | 1: 3 | |
c. | 4: 5 | |
d. | 3: 5 |