IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 701 - 704 of 1025
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Question 701
Question MCQ▾
A man runs around a circle of radius at a speed of The time taken by him for going around it five times is ________.
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a. | ||
b. | ||
c. | ||
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Question 702
Question MCQ▾
O is the center of a circle of diameter and is a square, if the shaded area is area of the square, then the side of square is________.
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Question 703
Question MCQ▾
Give below are the steps of construction of (without using the center of the circle radius ) two tangents to the circle from point N.
- Step I: Draw a line segment Take a point N outside the circle and draw a secant NOR, intersecting the circle at O and R.
- Step II: Produce to to M such that draw a semi-circle with as diameter.
- Step III: Draw intersecting the semi-circle at P. with N as center and MN as radius draw arcs to intersect the given circle at Q and Q′.
- Step IV: Join NQ and NQ′. Then, NQ and NQ ′ are the required tangents.
Choices
Choice (4) | Response | |
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a. | 3 | |
b. | 1 | |
c. | 4 | |
d. | 2 |
Question 704
Question MCQ▾
A cylindrical vessel of diameter is partly filled with water. 100 lead balls are dropped in it. The rise in water level is The diameter of each ball is ________.
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Choice (4) | Response | |
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