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 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: A series of figures are given which can be grouped into classes. Select from the alternatives one set of groups into which the figures can be classified.
Option 1: 1, 3, 6; 2, 4, 6; 5, 7, 9
Option 2: 1, 4, 9; 3, 6, 8; 2, 5, 7
Option 3: 3, 4, 7; 9, 8, 7; 4, 3, 1
Option 4: 2, 3, 6; 9, 3, 4; 6, 3, 2
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 : 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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