# Math Puzzle 21

The math puzzle 21 contains quadratic equation and its applications.**1)One root of a quadratic equation is 3 -√2 . Which of the following represent the quadratic equation?**

A. x

^{2}+ 6x + 5 B.x

^{2}-6x + 5=0 C. x

^{2}-5x + 6=0 D.x

^{2}- 5x -6=0

E.x

^{2}-6x + 5=0

**2) f(x) = 4x**

^{2}-2, then f(x+h) =?A. 4x + h- 2 B.4h - 2 C. 4x + 4h + 2 D.4x-2 E. 4x+4h-2

**3) Mr. James travels p miles in q hours and r miles in s hours. How many hours will be needed to travel 100 miles if he maintains this average rate?**

A. 100 (q + s + r) B. q + s + r C. p + s + r + q D 100(q+s)/p+r E.100(p+r)/q+s

**4) To determine the most economic order quantity E for the parts used in production, Managers use the formula E=√2QS/C . Q is the quantity that the plant will use in 1 year, S is the cost of setup for making the parts, and C is the cost of holding one unit in stock for one year. If S = $3600, Q = $16 and C = $ 32, then E =?**

A. 600 B. 216 C. 60 D. 36 E. 6

**5) The set of x values that satisfy the inequality |x-3|< 4 is**

A. x < 7 B. -1 < x < 7 C. x < 11 D. 1 < x < 7

E. |x|< 3

**6) Mary plans to fence off a square field and then cross-fence to divide the field into four equal smaller square fields. If she uses 540 ft of fencing, then how much area will be fenced in?**

A. 10,000ft

^{2}B. 8100ft

^{2}C. 7425ft

^{2}D. 7200ft

^{2}E. 3600 ft

^{2}

**7) Which of the following is the circumference of a circle, whose area is equal to the sum of areas of circles with diameter 36 cm, 48cm and 144cm?**

A. 50π B. 78 π C. 100 π D. 156 π E. 312 π

**8) Point A has co-ordinates (0,0) and point B has co-ordinates (a, a) where a ƒ® 1. If point B is moved from its current location, which of the following would result in the slope remaining unchanged?**

A. B (a, a+1) B. B (a, a-1) C. B (a+1, a) D. B (a, a-1) E. B (a-1, a-1)

**9) Which of the following points could be the center of a circle tangent to the x-axis and y-axis?**

I (a, b)

II (a, -a)

III (-b, -b)

I (a, b)

II (a, -a)

III (-b, -b)

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

E. Only I and II

**10) Line L has slope of 1. If line L contains the point (0,5), then which of the following points does not lie on line L ?**

A. (1, 6) B. (-1, 4) C. (3,8) D. (-2,3)

E. (2, 6)

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