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- Question
- A wheel makes 1000 revolutions in covering a distance of 88 km. the diameter of the wheel is?
Options- A. 24 meters
- B. 40 meters
- C. 28 meters
- D. 14 meters
- Correct Answer
- 28 meters
ExplanationDistance covered in one revolution = total distance travelled / total number of revolution.
= ( 88 x 1000) / 1000 m
= 88 m
We know that the distance covered in one revolution = circumference of the wheel.
? ?d = 88
? 22d / 7 = 88
? d = 28 m - 1. The Number of rounds that a wheel of diameter 7/11 m will make in going 4 km, is?
Options- A. 1000
- B. 1500
- C. 1700
- D. 2000 Discuss
- 2. A circular disc of area 0.49 ? square meters, rolls down a length of 1.76 km. The number of revolutions it makes is?
Options- A. 300
- B. 400
- C. 600
- D. 4000 Discuss
- 3. The radius of the wheel of a vehicle is 70 cm. The wheel makes 10 revolutions in 5 seconds. The speed of the vehicle is?
Options- A. 29.46 km/hr.
- B. 31.68 km/hr.
- C. 36.25 km/hr.
- D. 32.72 km/hr. Discuss
- 4. A circle and a square have same area. The ratio of the side of the square and the radius of the circle is?
Options- A. ?? : 1
- B. 1 : ??
- C. 1 : ?
- D. ? : 1 Discuss
- 5. If the diagonal of a square is double, how does the area of the square change?
Options- A. Becomes four fold
- B. Becomes three fold
- C. Becomes two fold
- D. None of the above Discuss
- 6. The diameter of a wheel is 63 cms. Distance travelled by the wheel in 100 revolutions is?
Options- A. 99 meters
- B. 198 meters
- C. 63 meters
- D. 136 meters Discuss
- 7. A circular road runs rounds a circular ground. If the difference between the circumference of the outer circle and the inner circle is 66 meters, the width of the road is?
Options- A. 21 meters
- B. 10.5 meters
- C. 7 meters
- D. 5.25 meters Discuss
- 8. The inner circumference of a circular race track, 14 m wide is 440 m . Then the radius of the outer circle is?
Options- A. 70 m
- B. 56 m
- C. 77 m
- D. 84 m Discuss
- 9. The ratio of the radii of two circle is 1:3 the radio of their areas is?
Options- A. 1:3
- B. 1:6
- C. 1:9
- D. None of these Discuss
- 10. The Area of a square is 50 sq. units. Then the area of the circle drawn on its diagonal is?
Options- A. 25? sq. units
- B. 100? sq. units
- C. 50? sq. units
- D. None of theas Discuss
Area problems
Search Results
Correct Answer: 2000
Explanation:
Number of round = total distance / circumference of wheel.
= (4 x 1000) / ?d
= (4 x 1000) / ( 22/7 x 7/11)
= 2000
Correct Answer: 400
Explanation:
Area = ?r2 = 0.49?
? r = 0.7 m
Number of revolutions = total distance / circumference
= (1.76 x 1000) / (2 x 22/7 x 0.7)
= 400
Correct Answer: 31.68 km/hr.
Explanation:
Circumference = 2?r
= 2 x (22 / 7) x 70 cm
= 440 cm
Distance travelled in 10 revolutions = 440 x 10 cm
= 4400 cm
= 44 m
? Speed = distance / time
= 44 / 5 m/sec
= (44 / 5) x (18 / 5) km/hr
= 31.68 km/hr
Correct Answer: 1 : ??
Explanation:
? Area of square = Area of circle
? x2 = ?r2
? x/r = ??
= ? ? : 1
Correct Answer: Becomes four fold
Explanation:
Ratio of the areas = area of original square / area of new square
= [ d2 / 2 ] / [ (2d)2 / 2 ] = 1/4
? New area becomes 4 fold.
Correct Answer: 198 meters
Explanation:
Distance travelled in 1 revolution = circumference of the wheel
= ?d
= ( 22/7 ) x 63
= 198 cm
So the distance travelled in 100 revolutions = 100 x distance travelled in 1 revolution
= 100 x 198 cm
= 19800 cm
= 198 m
Correct Answer: 10.5 meters
Explanation:
Let outer radius be R and inner radius be r.
Then from question
2?R - 2?r = 66
? 2? (R-r) = 66
? (2 x 22)/7 x (R - r) = 66
? (R-r) = (66 x 7) / 44
= 10.5 m
Correct Answer: 84 m
Explanation:
Circumference of a circular = 2?r
? 2 x (22 / 7) x r = 440
? r = [440 x (7/22) x (1/2)] = 70 m
? Radius of outer circle = (70 + 14) m
= 84 m
Correct Answer: 1:9
Explanation:
The Radio of areas = area of first circle : area of 2nd circle
= ?r2 / ?(3r)2
= ?r2/ 9 ?r2
= 1/9
= 1: 9
Correct Answer: 25? sq. units
Explanation:
Area = (Diagonal)2 / 2 = 50
? Diagonal = 10 units
? Radius of required circle = 5 units
Its area = [? x (5)2 ] cm2
= 25? units2
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