# Math Puzzle 29

This math puzzle 29 is on intersection, perpendicular lines,fraction, LCM etc.**1) The point of intersection of the lines x + 2y = 4 and 3x + 6y = 7 is**

A. (3,1/2) B. (1/3,1) C. (1,2) D. (3,6) E. Never meet

**2) In how many ways can 5 people occupy 5 seats in a train?**

A. 20 B. 25 C. 120 D. 125 E. 625

**3) If x = 27**

^{2/3},y = 25^{1/2}, z = 64^{1/3}, which has the largest value?A. x B. y C. z D. y, z E. x, y

**4) Which of the following is arranged in ascending order?**

I 1/2, 1/3, 1/4, 1/5

II 4/5, 3/4, 2/3, ½

III 1/2, 2/3, 3/4, 4/5

IV 1/4, 1/3, 1/5, 1/2

I 1/2, 1/3, 1/4, 1/5

II 4/5, 3/4, 2/3, ½

III 1/2, 2/3, 3/4, 4/5

IV 1/4, 1/3, 1/5, 1/2

A. I B. II C. III D. IV E. None of these

**5) A solid cylinder has its radius equal to its height. What is the ratio of the area of the 2 ends to its curved surface area?**

A. 1:2 B. 1:1 C. 2:1 D. 1:2π E. 2π:1

**6) Three bells ring at intervals of 3 seconds, 5 seconds and 8 seconds respectively. If they start ringing at the same time, how many times would all the three bells have rung before they ring together again?**

A. 8 B. 11 C. 13 D. 16 E. 79

**7) Which point on the x-axis is equidistant from (5, 4) and (-2, 3)?**

A. (0, 2) B. (2, 0) C. (-2, 0) D. (0, -2) E. (10, 4)

**8) Which of the following pair of lines are perpendicular to each other?**

I x-2y+10=0 and x-2y+14=0

II 3x+y+8=0 and x+3y+12=0

III 3x-y+8=0 and x+3y+12=0

I x-2y+10=0 and x-2y+14=0

II 3x+y+8=0 and x+3y+12=0

III 3x-y+8=0 and x+3y+12=0

A. I B. II C. III D. II & III E. Cannot be determined

**9) A train starts at a speed of 120 miles/hour, and reduces speed for every 1/2 hour by 20 miles/hour for the next 3 hours. How far does it traves in 3 hours?**

A. 150 B. 210 C. 300 D. 360 E. 420

**10)Car A covers a distance of 5 miles in 3 minutes, car B travels 9 miles in 6 minutes, car C travels 12 miles in 15 minutes. How fast is car A compared to car B (in percentage terms?**

A. 10 B. 11.11 C. 42 D. 48 E. 52

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