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 diagonals of two squares are in the ratio of 3 : 7. What is the ratio of their areas?
Option 1: 3 : 7
Option 2: 9 : 49
Option 3: 4 : 7
Option 4: 7 : 3
Question : The radii of two cylinders are in the ratio of 4 : 5 and their heights are in the ratio of 5 : 2. The ratio of their volume is:
Option 1: 9 : 4
Option 2: 2 : 1
Option 3: 9 : 7
Option 4: 8 : 5
Question : Directions: If 72 A 7 B 9 = 16, and 52 A 5 B 7 = 12, then 92 A 3 B 8 = ?
Option 1: 17
Option 2: 92
Option 3: 86
Option 4: 35
Question : Directions: If 1 @ 9 & 5 = 14 and 2 & 4 @ 3 = 14, then 7 @ 9 & 9 = ?
Option 1: 72
Option 2: 70
Option 3: 68
Option 4: 64
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