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- Question
Two equal circles intersect such that each passes through the centre of the other. If the length of the common chord of the circles is 10?3 cm, then what is the diameter of the circle?
Options- A. 10 cm
- B. 15 cm
- C. 20 cm
- D. 30 cm
- Correct Answer
- 20 cm
ExplanationLet there be 2 circles with centre O1 and OAB is the common chord
Since both passes through the center of each other as shown in figure
So O1O is the radius of both
Let O1O = r = AO1= AO
AX = AB / 2 = 5?3 cm (since OX perpendicular to chord bisects it)
AOO1 forms an equilateral triangle with on side = radius = r
Sin 60 = ?3/2 = AX / AO = 5?3/r
So r = 10 cm
So diameter = 20 cm
- 1. The median for the data 2, 4, 6, 8, 10, 12, 14 is
Options- A. 6
- B. 8
- C. 9.5
- D. 10 Discuss
- 2. The value of 47 / 10000 is?
Options- A. .0047
- B. .0470
- C. .00047
- D. .000047 Discuss
- 3. If 4x = 18y, then the value of ( x/y - 1) is
Options- A. 1 3
- B. 7 2
- C. 2 3
- D. 3 2 Discuss
- 4. If the price of 23 toys is Rs. 276, then what will the price (Rs.) of 12 toys?
Options- A. 144
- B. 158
- C. 159
- D. 166 Discuss
- 5. .02 =(......?.....)%
Options- A. 20
- B. 2
- C. .02
- D. .2 Discuss
- 6. If 36 men can do a piece of work in 25 hours, in how many hours will 15 men do it?
Options- A. 45
- B. 55
- C. 60
- D. 72 Discuss
- 7. 2?63 / 11 =233
Options- A. 4
- B. 3
- C. 6
- D. 5 Discuss
- 8. When 121012 is divided by 12, the remainder is
Options- A. 0
- B. 2
- C. 3
- D. 4 Discuss
- 9. Aarti can do a piece of work in 6 days. In how many days will she complete three time of work of same type?
Options- A. 18 days
- B. 21 days
- C. 3 days
- D. 6 days Discuss
- 10. 750.0003 ÷ 19.999 =?
Options- A. 49
- B. 18
- C. 22
- D. 38 Discuss
More questions
Correct Answer: 8
Explanation:
4th observation i.e., 8 is the median.
Correct Answer: .0047
Explanation:
47/10000 = .0047
Correct Answer: 7 2
Correct Answer: 144
Explanation:
Correct Answer: 2
Explanation:
.02 =(2/100) x 100% =2%
Correct Answer: 60
Explanation:
Correct Answer: 5
Explanation:
Let N / 11 = 233
Then, N = 233 x 11 = 2563
? Missing digit is 5.
Correct Answer: 4
Explanation:
121012 = 12 x 10084 + 4
? remainder = 4
Correct Answer: 18 days
Explanation:
We have the important relation, More work, More time (days)
? A piece of work can be done in 6 days.
? Three times of work of same type can be done in 6 x 3
= 18 days
Correct Answer: 38
Explanation:
? = 750.0003 ÷ 19.999
? ? ? 750 ÷ 20
? ? ? 375 ? 38
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