Math Puzzle 34

This math puzzle 34 is on Algebra,sequence,equations etc.

1) If x³ y⁴ z⁵ < 0, which of the following statement must be true?
I xy < 0
II yz < 0
III xz < 0
A. I only     B. II only     C. III only     D. I and III only
E. II and III only

2) An isosceles triangle has sides 3 and 4. Which of the following could be the length of the third side?
A. 3 or 4     B. 3     C. 4     D. 5     E. 12

3) What is the radius of a circle whose diameter has endpoints (0, 7) and (0, -3)?
A. √10     B. 5     C. 5√2     D. 10     E. 10√2

4) Jim gets a salary hike from $80,000 per year to $100,000 per year and John gets salary hike from $100,000 per year to $ 120,000 per year. Their respective percentage hikes are
A. 20 and 20     B. 20 and 16.7     C. 20 and 25     D. 25 and 20     E. 25 and 25

5) The value of the n th term of a sequence is given by the expression a ²ⁿ -2. If the second term of the sequence is 79, then which of the following could be the value of a?
I 4
II 3
III -3
A. I only     B. II only     C. III only     D. I and II only
E. II and III only

6) Which of the following equations has x = - 3 as one root?
I x - 3/x = 0
II x² + x - 6 =0
III x² + 9 = 0
A. I only     B. II only     C. III only     D. I and II only
E. II and III only

7) 3/7th of a candle lasts for 30 minutes, how many minutes will a full candle last?
A. 30     B. 40     C. 52.5     D. 60     E. 70

8) If mⁿ = 0.64mⁿ⁺², then what is m?
A. 4/5     B. 5/4     C. 1     D. 25/16     E. 5

9) If (3t + c)² = 9t² - 12t + c² then c =?
A. 2     B. -2     C. 3     D. 1     E. -6

10) How many spheres of radius 2 can be stacked in a cylindrical vessel of radius 2 and height 8?
A. 2     B. 3     C. 4     D. 5     E. 9

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Math puzzle 34

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