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- Question
In an equilateral triangle ABC, G is the centroid. Each side of the triangle is 6 cm. The length of AG is
Options- A. 2?2 cm
- B. 3?2 cm
- C. 2?3 cm
- D. 3?3 cm
- Correct Answer
- 2?3 cm
- 1. In an isosceles triangle, the length of each equal side is twice the length of the third side. The ratio of areas of the isosceles triangle and an equilateral triangle with same perimeter is
Options- A. 30√5 : 100
- B. 32√5 : 100
- C. 36√5 : 100
- D. 42√5 : 100 Discuss
- 2. A piece of wire 132 cm long is bent successively in the shape of an equilateral triangle, a square and a circle. Then area will be longest in shape of
Options- A. Circle
- B. Equilateral triangle
- C. Square
- D. Equal in all the shapes Discuss
- 3. The ratio between the area of a square and that of a circle, when the length of a side of the square is equal to that of the diameter of the circle, is (take ?=22/7)
Options- A. 14 : 11
- B. 28 : 11
- C. 7 : 22
- D. 22 : 7 Discuss
- 4. The four walls and ceiling of a room of length 25 m, breadth 12 m and height 10 m are to be painted. Painter A can paint 200 m2 in 5 days, Painter B can paint 250 m2 in 2 days. If A and B work together, they will finish the job in
Options- A. 6 days
- B. 6 10/33 days
- C. 7 10/33 days
- D. 8 days Discuss
- 5. The sides of a triangle are in the ratio 1/2 : 1/3 : 1/4 and its perimeter is 104 cm. The length of the longest side (in cm) is
Options- A. 52
- B. 48
- C. 32
- D. 26 Discuss
- 6. In a circle, a diameter AB and a chord PQ (which is not a diameter) intersect each other at X perpendicularly. If AX : BX = 3 : 2 and the radius of the circle is 5 cm, then the length of chord PQ is
Options- A. 2?13 cm
- B. 5?3 cm
- C. 4?6 cm
- D. 6?5 cm Discuss
- 7. x, y be two acute angles, x + y < 90° and sin(2x - 20°) = cos(2y + 20°), the value of tan(x + y) is
Options- A. ?3
- B. 1/?3
- C. 1
- D. 2+?2 Discuss
- 8. Two pipes of length 1.5 m and 1.2 m are to be cut into equal pieces without leaving any extra length of pipes. The greatest length of the pipe pieces of same size which can be cut from these two lengths will be
Options- A. 0.13 m
- B. 0.4 m
- C. 0.3 m
- D. 0.41 m Discuss
- 9. The radii of two concentric circles are 68 cm and 22 cm. The area of the closed figure bounded by the boundaries of the circles is
Options- A. 4140√ sq.cm.
- B. 4110√ sq.cm.
- C. 4080√ sq.cm.
- D. 4050√ sq.cm. Discuss
- 10. The radius of a sphere is 6 cm. It is melted and drawn into a wire of radius 0.2 cm. The length of the wire is
Options- A. 81 m
- B. 80 m
- C. 75 m
- D. 72 m Discuss
Area problems
Search Results
Correct Answer: 36√5 : 100
Correct Answer: Circle
Correct Answer: 14 : 11
Correct Answer: 6 10/33 days
Correct Answer: 48
Correct Answer: 4?6 cm
Correct Answer: 1
Correct Answer: 0.3 m
Correct Answer: 4140√ sq.cm.
Correct Answer: 72 m
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