# Math Puzzle 30

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**1)Given that 2≤x≤7 and -11≤y≤1, the greatest possible value of**

x

x

^{2}+ y^{2}isA. 50 B. 125 C. 150 D. 160 E. 170

**2)For all a and b, let a*b be defined by a*b=a**

^{b}- ab. What is the value of 4*(3*(2*1))?A. -4 B. -1 C. 2 D. 1 E. 0

**3)P(a, b) is a point, where a>0, b > 0. If P is reflected against the line**

y = 0, what will be co-ordinates for the image of P?

y = 0, what will be co-ordinates for the image of P?

A. (-a, - b) B. (-a, b) C. (a, b) D. (a, - b) E. (0, 0)

**4)Given that ,3x/7-4/14 <=x-3¼ what is the smallest possible value of x when x is a prime number?**

A. 2 B. 3 C. 5 D. 7 E. 11

**5)A circle is inscribed in a square with side x. What is the probability that a randomly selected point lies within the square, but outside the circle?**

A. 1-(Π/4) B. 1-(Π/2) C. Πx

^{2}/4 D. Πx

^{2}/2 E. Π/x

**6)Circumference of a circle with radius 'r' and perimeter of square with side 'x' are both equal to 44. What is r: x? (for calculation purpose, assume Π = 22/7)**

A. 14:11 B. 7:11 C. 11:14 D. 11:7 E. 1:4

**7)Median for a set of values arranged in the order of increasing values 2, 3, 5, x, 11, 13, 17 is 7. What is the mode for the same set of numbers?**

A. 3 B. 5 C. 8.3 D. 11 E. None

**8)A book costs $99.00 after a discount of 10% on the marked price. What is the marked price of the book?**

A. 89.1 B. 109 C. 110 D. 120 E. 90

**9)2 liters of oil A, 3 liters of oil B and 7 liters of oil C are mixed together. What is the percentage of oil A and oil B in the mixture?**

A. 5/12 B. 75 C. 500/6 D. 500/12 E. 100/6

10)

The table gives the number of vehicles on a road at different hours of the day. What is the percentage increase in the number of vehicles between 6.00am and 7.00am?

Time | 6 am | 7 am | 8 am | 9 am | 10 am | 11 am | 12 | 1 pm | 2 pm | 3 pm | 4 pm | 5 pm | 6 pm |

Number of vehicles /hr | 60 | 90 | 130 | 140 | 70 | 50 | 90 | 110 | 50 | 40 | 50 | 130 | 140 |

The table gives the number of vehicles on a road at different hours of the day. What is the percentage increase in the number of vehicles between 6.00am and 7.00am?

A. 25 B. 30 C. 33 D. 50 E. 116

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