Question
What is the area of the circular Track?
Statement-I: The area of equilateral triangle that can be inscribed in circular Track is 48β3 m2 Statement-II: The area of square of maximum size that can be inscribed in a circular Track is 196 m2. The question consists of two statements numbered βI and IIβ given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. A. The data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question. B The data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question. C The data either in statement I alone or in statement II alone are sufficient to answer the question. D The data given in both statements I and II together are not sufficient to answer the question. E The data in both statements I and II together are necessary to answer theΒSolution
Statement I:Area of equilateral triangle = 48β3 m2. (β3/4) Γ (side) 2 = 48β3 Side = β192 = 8β3 m 
Statement I: Area of equilateral triangle = 48β3 m2. (β3/4) Γ (side) 2 = 48β3 Side = β192 = 8β3 m Therefore, AD = β[(8β3)Β² β (4β3)Β²] = β144 = 12 m So, radius of circular field = OA = (2/3) Γ 12 = 8 m Therefore, area of the circular garden = ΟT Γ 8 Γ 8 = 64Ο mΒ² Therefore, the question can be solved using statement-l alone. Statement-II: Are of square = 196 mΒ² So, side of square =β196 = 14 m So, diagonal of square = β2 Γ side of square = 14β2 m Also, diagonal of square = diameter of circular garden So, radius of circular garden = 14β2/2 = 7β2 m Therefore, area of circular garden = Ο (7β2)Β² = 308 mΒ² Therefore, questions can be solved using statement-ll alone. Hence, option c.
A shopkeeper blends 5 kg of coffee at Rs. 12 per kg with 7 kg at Rs. 8 per kg. What is the cost price (in Rs.) of the mixture per kg?
A mixture of 140 lit contains milk and water where milk is 20 lit more than water. If 28 lit mixture is taken out and 12 lit pure milk is added then rat...
The ratio of the quantity of juice and water in vessel A and vessel B is 3:2 and 4:3 respectively. 45 liters of mixture is taken out from vessel A and p...
- Out of a 200-litre solution of juice and soda, the ratio of juice to soda is 1:4. How many litres of juice should be added to make the new ratio 3:8?
A mixture contains 100 ml of milk and 25 ml of water. If 25 ml of the mixture is replaced with 15 ml of water, then find the ratio of quantity of milk ...
In a mixture of milk and water, the amount of milk is 37 ml greater than the amount of water. After 75% of the mixture is removed and 10.75 ml of milk i...
- Two mixtures, P and Q, have milk-to-sugar ratios of 8:11 and 10:15, respectively. When these two mixtures are combined, the total quantity of the final mix...
Glass S initially holds 200 ml of coke, while Glass T contains 110 ml of soda. First, 40 ml of coke is transferred from Glass S to Glass T. Then, 30 ml ...
A merchant mixes 9 kg of beans at Rs. 7 per kg with 6 kg at Rs. 5 per kg. What is the cost price (in Rs.) of the mixture per kg?Β
- An alloy consists of 35% gold, 40% silver, and 25% copper. How much gold should be added to 20 kg of the alloy so that the new alloy contains 50% gold?
Relevant for Exams:
