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In a circular car race tracks, one has to maintain a speed proportional to the square - root of radius of the track to avoid accident. There are concentric circular tracks with radii 12.25 m, 49 m, 110.25 m and 196 m respectively. If the average speed of a racer who covers all four tracks is 75.6 km/hr, what is the speed with he covered the third track (in m/s)? Neglect the time taken to shift between two tracks.
There are seven persons Amit, Roshan, Ravi, Priya, Amrita, Arpita and Mitul. They participated in a competition where they got different positions. Amit scored the first position while Mitul scored the last position. Priya scored fourth position from the last. Ravi scored one position higher than Priya while Amrita scored one position lower than Priya. Roshan scored higher position than five of them. Who scored the second lowest position?
Select the phrase/ connector from the given three alternatives, which can be used to form a single coherent sentence from the sentences given below, implying the same meaning. I broke my arm during the game. I managed to score a goal. I. Even though I broke my arm during the game II. My broken arm during the game Ill. Having managed to break my arm during the game
The resultant of the following three couples 20 kg force, 0.5 m arm, +ve sense 30 kg force, 1 m arm, -ve sense 40 kg force, 0.25 m arm, +ve sense having arm of 0.5 m will be
There are six people Kirti, Kavita, Komal, Khushi, Koel and Kritika, who got different positions in a competition. Kavita got second position while Khushi got third position from the last. Komal’s position was immediately after Kavita and immediately before Khushi. Koel does not get either the first position or the last position. Kirti also does not get the last position. Who got the last position?
Suppose, 20 parallel railway tracks are intersected by another 30 parallel railway tracks. How many parallelograms will be formed by the intersection of these railway tracks?
In the following question, two statements are given each followed by two conclusions I and II. You have to consider the statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements. Statements: All music are songs. Some songs are tracks. Conclusions: I. Some songs are not tracks. II. All  tracks are songs.
H, Y, T, U and P got different ranks based on their marks in the semester examination and viva. H got 3rd rank in the semester exam and 5th rank in the viva. T got 5th position in the semester and 1st position in the viva. P got 2nd position in both exams and viva. Y got 1st position in semester examinations and 4th position in the viva. Who got 3rd position in the viva?
A uniform disc of diameter 300 mm and of mass 5 kg is mounted on one end of an arm of length 600 mm. The other end of the arm is free to rotate in a universal bearing. If the disc rotates about the arm with a speed of 300 r.p.m. clockwise, looking from the front, with what speed will it precess about the vertical axis?
Statements: 1. Sofa, park bench, arm chair, wing chair, deck chair, stool and wood chair are placed in a straight line facing north. 2. Arm chair is third to the left of wing chair which is second to the left of deck chair. 3. Deck chair is at extreme right end and stool is placed somewhere between arm chair and wing chair. 4. Third to the right of stool is wood chair. 5. Sofa is not at any end place. Conclusions: 1. Stool is at fifth place from the right end. 2. Sofa is at the middle place of the row. 3. Wing chair is at fifth place from the left end.