Q. Two circular metallic discs have a thickness of 15 mm. Their areas are in the ratio of 9:1. The smaller dia disc is pressed against the bigger disc and rotated around it on a flat surface. How many times will the small disc rotate before it completes one circle of the bigger disc?
1) 3
2) 3 π
3) π
4) None of these
Q. If the perimeter of the rectangular garden is 1200 meters and the ratio of width to length is 3:5 then its length in meters will be -
1) 325
2) 350
3) 375
4) None of these
Q. In a castle, there is the provision of food for 150 men for 50 days. After 20 days 50 men leave the castle. The remaining food will last for -
1) 40 days
2) 45 days
3) 42 days
4) 50 days
Q. The average score of three boys in mathematics is 30. When the score of a fourth boy is added to the total score of the three boys, the average is lowered to 25. What is the score of the fourth boy?
1) 10
2) 15
3) 20
4) 25
Q. Yuvraj Singh has a certain average of runs for his 8 matches in IPL matches. In the ninth match, he scores 100 runs and thereby increases his average by 9 runs. His new average of runs is -
1) 20
2) 24
3) 28
4) 32
Q. A watch that gains uniformly is 5 minutes slow at 8 o'clock in the morning on Sunday and is 5 minutes 48 seconds fast at 8 PM on the following Sunday. When was it correct?
1) Wednesday
2) Friday
3) Thursday
4) None of these
Q. A frog tries to come out of a dried well 9 m deep with slippery walls. Every time the by 60 cm. he slides back by 30 cm. How many jumps will the frog have to take to come out of the well?
1) 20
2) 29
3) 30
4) 31
Q. A person stands at the middle point of a wooden ladder which starts slipping between a vertical wall and the floor of a room. While continuing to remain in a vertical plane, the path traced by a person, standing at the middle point of a slipping ladder is -
1) A straight line
2) An elliptical path
3) A circular path
4) A parabolic path
Q. A conical vessel, whose internal radius is 10 cm and height of 48 cm is full of water If this water is poured into a cylindrical vessel with an internal radius of 20 cm, find the height to which the water rises in it.
1) 5 cm
2) 6 cm
3) 4 cm
4) None of these
Q. Two pendulum ticks first 57 times in 58 seconds and another 608 times in 609 seconds. If they start together, find the number of times they will tick together in the first hours -
1) 95 times
2) 57 times
3) 66 times
4) None of these
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