# Math Puzzle 25

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**1) sequence of numbers a, b, c, d . where b/a = c/b = d/c and so on. If b I c/b < 1**

II c/d > 1

III d/c > 1 ,>

II c/d > 1

III d/c > 1 ,>

A. I and II true B. II and III true C. I and III true D. III true

E. nothing can be inferred

**2) What is the length of the longest rod that can be completely placed inside a cube of side a?**

A. a √2 B. 2a C. (1+√2)a D. a √3 E. 3e

**3) Three bells ring at intervals of 3 seconds, 5 seconds and 8 seconds respectively. If they start ringing at the same time, after how many seconds will they again ring together?**

A. 15 B. 40 C. 24 D. 120 E. 240

**4) If 2P + 3Q= R and P + R =4Q. What is the ratio of P to R?**

A. 11:1 B. 1:2 C. 1:3 D. 1:4 E. 1:11

**5) A bookshelf holds 8 different math books, 6 different physics books and 4 different chemistry books. In how many ways can 1 book be selected?**

A. 18 B. 14 C. 24 D. 48 E. 192

**6) If log**

_{10}x = a; log_{10}y=b; what is log_{10}10xy?A. a + b B. a b C. 1 + a + b D. 10 + a + b E. 10ab

**7) Point A is at (-3,4), point B is at (-1,4) and point C is at (1,5). Which is farthest from origin?**

A. A and B B. B and C C. A D. B E. C

**8) Which of the following will form corners of a square?**

I (0,0), (4,0), (4,5), (0,5)

I (0,0), (4,0), (4,4), (0,4)

III (0,0), (3,0), (3,4), (0,4)

IV (0,0), (3,0), (3,3), (0,3)

I (0,0), (4,0), (4,5), (0,5)

I (0,0), (4,0), (4,4), (0,4)

III (0,0), (3,0), (3,4), (0,4)

IV (0,0), (3,0), (3,3), (0,3)

A. I, III B. I, II C. II, III D. II, IV E. I, IV

**9) If (x - 2)/(x + 2) = 5 and (y + 3)/(y - 3) = 2; what is y: x?**

A. -1:3 B. 1:3 C. -1:-3 D. -3:1 E. -3:4

**10) What is the sum of the smallest 2 prime numbers?**

A. 1 B. 3 C. 5 D. 8 E. 12

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