10 Questions

Test your knowledge on different areas of Mathematics

Questions and Answers

- 1.Solve for x: 2log x - log (30- 2x) = 1
- A.
-30

- B.
15

- C.
12

- D.
10

- 2.The equation of a circle is given as x^2 + y^2 – 6x + 4y – 12 = 0, find its center?
- A.
C(3,2)

- B.
C(-3,2)

- C.
C(-3,-2)

- D.
C(3,-2)

- 3.My sister Verna is 5 years older than I am. In 5 years, she will be 18 years old. How old am I today?
- A.
11

- B.
10

- C.
8

- D.
13

- 4.A stone is dropped into a deep well and is heard to hit the water 3.41 sec after being dropped. Determine the depth of the well.
- A.
52.3 m

- B.
57 m

- C.
-52.3 m

- D.
-57 m

- 5.A piece of wire is 12 in. long. The wire is cut into two pieces and then each piece is bent into a square. Find the length of the longer piece if the sum of the areas of these two squares is to be 3.5 in^2.
- A.
7

- B.
6

- C.
5

- D.
4

- 6.What are the radius, r, and height h, of cylindrical oil that can holds 5 liters of oil but must have minimum surface area?
- A.
R = 9.27cm; h = 18.53cm

- B.
R = 1.26cm; h = 20.83cm

- C.
R = 5.4cm; h = 18.53cm

- D.
R = 15.9cm; h = 12.56cm

- 7.For a given numbers (2, 2, 3, 6, 9), find the standard deviation of sample?
- A.
1.73

- B.
0.04

- C.
1.14

- D.
2.73

- 8.Enriv wants to make a 100 ml vodka of 5% alcohol solution mixing a quantity of a 2% water solution with 7% alcohol solution. What are the quantities of each of the two solution (2% & 7%) he has to use?
- A.
25:75

- B.
50:50

- C.
30:70

- D.
40:60

- 9.If x increases uniformly at the rate of 0.01 ft/sec, at what rate is the expression (2 + x )^3 increasing when x becomes 8 feet?
- A.
2 cfs

- B.
3 cfs

- C.
4 cfs

- D.
5 cfs

- 10.Double my number and subtract 9; then you will get 67. What is my number?
- A.
25

- B.
38

- C.
37

- D.
27