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 48 cm is full of water. If this water is poured into a cylindrical vessel with internal radius 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
Q. Of the two kinds of alloys, silver and copper are contained in the first in the ratio of 5:1 and in the other in the ratio 7:2. In what ratio of the two alloys should be melted and mixed together so as to make up a 5 kg mass with 80% of silver -
1) 2:3
2) 4:5
3) 3:4
4) 1:2
Q. A man gave Rs. 2500 to his eldest son, 5/12 of the whole property to the second son and to the youngest as much as to the first and second son together. How much did the youngest son get?
1) Rs. 10,000
2) Rs. 15,000
3) Rs. 20,000
4) Rs. 25,000
Q. Calculate the number of bricks, each measuring 25 cm x 12.5 cm x 7.5 cm required to build a wall 6 m long, 5 m high and 50 cm thick, while the mortar occupies 5% of the volume of the wall -
1) 8060
2) 6180
3) 6080
4) None of these
Q. In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 46, determine the dividend?
1) 5336
2) 5634
3) 5636
4) 5633
Q. The ratio of the number of boys to that of girls in a school is 4:1. If 75% of boys and 70% of the girls are scholarship holders, then the percentage of students who do not get scholarship is -
1) 50
2) 28
3) 75
4) 26
Q. Ramesh leaves home at 5 PM to pick up his daughter from school and returns home at 7 PM. One day the school was over at 5 PM and the daughter instead of waiting for her father as usual, started walking toward home. Ramesh as usual started from home and met his daughter on the way and returned home with her 12 minutes earlier as usual. If the speed of Ramesh's car is 40 km./hr, find the speed (in km./hr) of his daughter -
1) 40/9
2) 29/8
3) 39/7
4) 35/8
Q. The speed of a metro engine is 42 km/hr when no compartment is attached and reduction of speed is directly proportional of the square root of the number of compartments attached. If the speed of the train carried by this engine is 24 km/hr when 9 compartments are attached, the maximum number of compartments that can be carried by the engine is -
1) 48
2) 47
3) 49
4) None of these
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