# Math Puzzle 15

This section contains math puzzle 15 which is based on fractions,inequality and algebraic identity.**1) What is the sum of 3 2/3 and its reciprocal?**

A. 33/130 B. 130/33 C. 42/33 D. 33/42 E. None of these

**2) A long pole is divided into four parts. The first is 1/5 of the whole, the second is 1/4 of the first and third is 1/2 of the second and the fourth is 87 cm. What is the total length of the pole (in cm)?**

A. 290 B. 280 C. 160 D. 120 E. 100

**3) Which of the following is the greatest common factor of 36abc**

^{2}, 27a^{2}bc and 24ab^{2}c?A. 2abc B. 3abc C. 6abc D. 9abc E. 12abc

**4) Janet and John take hops of 68 cm and 92 cm respectively. If they start at the same time, how far (in meters) will they be before they meet again?**

A. 3.91 m B. 13.44 m C. 15.64 m D. 16.00 m

E. 16.64 m

**5) Which of the following is the greatest common factor of (a - b),**

(a + b) (a

(a + b) (a

^{2}+ b^{2}) and (a^{4}-b^{4})?A. (a - b) B. (a + b) C. (a

^{2}- b

^{2}) D. (a

^{4}- b

^{4})

E. 1

**6) If 'k' is any odd integer, what is the remainder when (k-1)**

^{2}is divided by 4?A. 0 B. 1 C. 2 D. 3 E. 4

**7) If x and y are integers such that x + y < 12 and x > 7, what is the smallest possible value of x - y?**

A. 2 B. 3 C. 4 D. 5 E. 7

**8) Which of the following is not a rational number?**

A. √1 B. √2 C. √4 D. √9 E. None

**9) Which of the following numbers lie between 2 and 3?**

A. √2 B. √3 C. √π D. √5 E. √10

**10) What lies between 1/2 and 5/8?**

A. 5/16 B. 7/16 C. 9/16 D. 11/16 E. 7/14

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