# Math Puzzle 28

This math puzzle 28 is on set,exponents,absolute equation,algebra etc**1) What value of n satisfies the equation 1 = 3**

^{(1/n-3)}?A. 1/3 B. 1/4 C. 3 D. 4 E. None of these

**2) Set A = {3,5,9,22,23,40,42} and set B = {1,2,3,5 ,8 ,23,42,51}. What is the mode of union of elements of A & B?**

A. 3 B. 5 C. 23 D. 42 E. there is no mode

**3) A haystack is large enough to feed 15 horses for 10 days; how long will a similar haystack last for 2 groups of 6 horses each?**

A. 9 B. 10 C. 12.5 D. 18 E. 25

**4) If |x-3| = 6, what is x?**

A. 3 or 9 B. -3 or -9 C. 3 D. 3 or -9 E. -3 or 9

**5) Circumference of a circle with radius 4 is equal to the perimeter of a square. What is the area of the square?**

A. π

^{2}B. 2π

^{2}C. 4π D. 4π

^{2}E. 16π

^{2}

**6) Sum of 5 times Tim's age and 3 times Allan's age is same as their mother's age. 2 years from now, sum of 3 times Tim's age and 3 times Allan's age will be same as their mother's age at that time. How old is Tim now?**

A. 2 B. 5 C. 7 D. 14

E. cannot be found with this information

**7) For a set of consecutive integers a, b, c, d, e, which among the following is/are true?**

I Average is c

II Average is (b+d)/2

III Average is (b+c+d)/3

I Average is c

II Average is (b+d)/2

III Average is (b+c+d)/3

A. I is true B. I, II are true C. I, II, III are true D. II, III are true E. I, III are true

**8) If 5/17 = x/68 and 9/23 = y/92, which among the following is true?**

A. x < y B. x > y C. x = y D. x + y = 46 E. x/y = 9/5

**9)If 3x- 2y / 9x + 2y = 2/7, what is the value of x/y?**

A. 1/3 B. 1/6 C. 3 D. 6 E. 9

**10) If m = (3n - 2)/(n + 4), what is n if m = - 1?**

A. -1/4 B. -1/2 C. 1/2 D. 1 E. 2

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