# Math Puzzle 24

This math puzzle 24 is on logical reasoning,percent,average speed etc.**1) The operations % and & are defined as x% y & z =xy/z. Then what is the value of (3%10&5) + (x%x**

^{2}&x)?A. 150+x

^{3}B. 35+x

^{3}C. 150+x

^{2}D. 5+x

^{2}E. 6+x

^{2}

**2) (x-3) (x+3)**

^{2}<0 if and only ifA. x < 3 B. x > - 3 C. x > 3 D. x > 0

E. x < 3 and x ≠ 3

**3) Set A = {3,5,9,22,23,40,42} and set B = {1,2,3,5,9,23,42,51}. Which is the element that is not in the intersection of A and B?**

A. 3 B. 6 C. 9 D. 23 E. 42

**4)What is |-3| + |+3|?**

A. 0 B. 6 C. -6 D. 9 E. None of these

**5) If 3x**

^{2}+ 9 = 2; what is -9 + 3x^{2}?A. √(2/3)+9 B. √(2/3)-9 C. 2 D. 16 E. - 16

**6) If x = |+3| + |-3| and y = |+3| - |-3|, what is x-y?**

A. -3 B. 0 C. 3 D. -6 E. 6

**7) Which of the following lines is parallel to the line y=3x - 2?**

I y = x - 2

II y = x + 2

III y = 3x + 9

IV y=0.3x-2

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

I y = x - 2

II y = x + 2

III y = 3x + 9

IV y=0.3x-2

**8) A train travels at a speed of 60miles/hour for 2 hours, travels at a speed of 3 miles/minute for the next 1 hour. What is the average speed of the train in miles/hour for the entire journey?**

A. 21 B. 31.5 C. 63 D. 100 E. 300

**9) In 4 years from now, John will be 40 and Steve will be twice John's age. What is the age difference between Steve and John now?**

A. 20 B. 36 C. 40 D. 76 E. 80

**10) Sum of a number and half of the number is 10.5. What is 4 times the number?**

A. 3.5 B. 7 C. 14 D. 28 E. 42

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