Question : Directions: Two horses A and B run at a speed of 3:2 ratio in the first lap, during the second lap the ratio differs by 4:7, and during the third lap their ratio differs by 8:9. What is the difference in the ratio of speed altogether between the two horses?
Option 1: 4
Option 2: 2
Option 3: 3
Option 4: 1
Correct Answer: 1
Solution : Given: Two horses A and B run at a speed of 3:2 ratio in the first lap, during the second lap their ratio differs by 4:7, and during the third lap, their ratio differs by 8:9.
Let us consider that the common factor for multiplication for the ratio speeds is x. So, speeds achieved by A and B during the first, second and third laps are 3x, 4x, 8x and 2x, 7x, 9x Avg speed achieved by A = (3x + 4x + 8x) ÷ 3= 15x ÷ 3 = 5x Avg speed achieved by B = (2x + 7x + 9x) ÷ 3 = 18x ÷ 3 = 6x Ratio of avg speeds of A and B = 5x : 6x = 5 : 6 The difference between the ratio of speeds altogether = 6 – 5 = 1
Therefore, the required difference is 1. Hence, the fourth option is correct.
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Question : Three cars travelled a distance in the ratio 1 : 2 : 3. If the ratio of the time of travel is 3 : 2 : 1, then the ratio of their speed is:
Option 1: 3 : 9 : 1
Option 2: 1 : 3 : 9
Option 3: 1 : 2 : 4
Option 4: 4 : 3 : 2
Question : The ratio of the radii of two cylinders is $2:3$ and the ratio of their heights is $5:3$. The ratio of their volumes will be:
Option 1: $9:4$
Option 2: $20:27$
Option 3: $4:9$
Option 4: $27:20$
Question : The ratio between the two numbers is 3 : 4. If each number is increased by 6, the ratio becomes 4 : 5. What is the difference of the numbers?
Option 1: 1
Option 2: 3
Option 3: 6
Option 4: 8
Question : The ratio of the curved surface area of two cones is 1 : 4 and the ratio of slant height of the two cones is 2 : 1. What is the ratio of the radius of the two cones?
Option 1: 1 : 2
Option 2: 1 : 4
Option 3: 1 : 8
Option 4: 1 : 1
Question : The ratio of curved surface areas of two cones is 1 : 8 and the ratio of their slant heights is 1 : 4. What is the ratio of radii of the two cones?
Option 1: 1 : 1
Option 2: 1 : 2
Option 3: 1 : 4
Option 4: 1 : 8
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