Q. A stunt cycle has two wheels of differing diameters. The circumferences of the two wheels are 1.2 m and 0.7 m respectively. At some point the points touching the ground were marked with chalk. How far must the cycle move for the marks to touch the ground simultaneously again?
1) 8.4 m
2) 0.84 m
3) 1.2 m
4) None of these
Q. Two perpendicular cross roads of equal width run through the middle of a rectangular field of length 80 metre and breadth 60 metre. If the area of the cross roads is 675 m2, what is the width of the road -
1) 6 metres
2) 5 metres
3) 9 metres
4) None of these
Q. If 3(x-y) = 27 and 3(x+y) = 243, then x is equal to -
1) 0
2) 2
3) 4
4) None of these
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) 3π
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 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 there 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 t he fourth boy?
1) 10
2) 15
3) 20
4) 25
Q. Youvraj Singh has a certain average of runs for his 8 matches in PIL 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 which gains uniformly is 5 minutes slow at 8 o'clock in he morning on Sunday and is 5 minutes 48 seconds fast at 8 pm on 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 frog jumps 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
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