Sample Quantitative Questions for CAT

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Sample Quantitative Questions for CAT- Directions for next 3  quantitative questions for CAT: Answer the CAT quantitative questions based on the following information.

A glider (speed 20 m/s) is moving in opposite direction to a bike and a car. The car (speed 10 m/s) and the bike (speed 5 m/s) are moving in the same direction and the car is behind the bike. The angle of elevation of the glider from the car is 30⁰ and the angle of elevation of glider from the bike is 45⁰. The distance between the car and the bike is 10 m. After one second, the angle of elevation of the glider from the car becomes 45⁰ and from the bike becomes 30⁰.

1. What is the height at which the glider is flying (in meters)?

a. 5(√3 – 1)

b. 5√3 – 1

c. 5(3 + 1)

d. None of these

2. What is the distance (in meters) between the car and the bike after one second?

a. 5

b. 10

c. 15

d. None of these

3. What is the difference of the horizontal distance (in meters) between the glider and the car initially and the glider and bike after one second?

a. 0

b. 5

c. 10

d. None of these

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