1.

What is the area of the equilateral triangle if the base BC=6?

 

a.

<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>9</mn><msqrt><mn>3</mn></msqrt></math>

b.

<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>18</mn><msqrt><mn>3</mn></msqrt></math>

c.

<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>26</mn><msqrt><mn>3</mn></msqrt></math>

d.

<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>30</mn><msqrt><mn>3</mn></msqrt></math>

2. The ratio of the area of area of a circle to the radius of the radius of the circle is--

a. π
b.
c. π2
d. none of these

3. In a certain recipe, 214 cups of flour are called for to make a cake that serves 6.If Mrs. Jesmin wants to use to same recipe "to make a cake for 8, how many cups of flour must she use?

a. 213 Cups
b. 234
c. 3 Cups
d. 3 Cups

4. If two non-zero positive integers p and q are such that p=4q and p<8, then q=?

a. 2
b. 1
c. 3
d. 4

5. Of 30 applicants for a job. 14 had at least 4 years' experience, 18 had degrees, and 3 had less than 4 years' experience and did not have a degree. How many of the applicants had at lest 4 year's experience and a degree?

a. 13
b. 9
c. 5
d. 7

6. The savings of an employee equals income minus expenditure. If their incomes ratio is 1 : 2 : 3 and their expenses ratio is 3 : 2 : 1, then what is the order of the employees A, B and C in the increasing order of the size of their savings?

a. A>B>C
b. A>C>B
c. B>A>C
d. C>B>A

7. Which of the following cannot be a value of 1/x-1?

a. -1
c. 2/3
d. 1

8. If the average of five consecutive even numbers is 8, which of the following is the smallest of the five numbers?

a. 4
b. 5
c. 6
d. 8

9. If 4m =9n, what is the value of 7m, in terms of n?

a. 63n/4
b. 9n/28
c. 7n/9
d. 28n/9

10. A man walks down the road for half an hour at an average speed of 3 miles per hour. He waits 10 minutes for a bus, which him back to his starting point at 3 : 15. If the man began his walk at 2 : 25 the same afternoon, what was the average speed of the bus?

a. 3 mph
b. 4.5 mph
c. 6 mph
d. 9 mph

11.

In the figure,circle P has diameter 2 and circle Q gas diameter 1. What is the area of the shaded region ?

 

a.

<math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>3</mn><mi mathvariant="normal">&#x3C0;</mi></mrow><mn>4</mn></mfrac></math>

b.

c.

<math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>7</mn><mi mathvariant="normal">&#x3C0;</mi></mrow><mn>2</mn></mfrac></math>

e.

12.

Which of the following describes all values of x for which <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn><mo>-</mo><msup><mi>x</mi><mn>2</mn></msup><mo>&#x2265;</mo><mn>0</mn><mo>?</mo></math>

a.

x≥1
 

b.


x≤−1

 

c.

0≤x≤1


 

d.

−1≤x≤1



 

e.



 

13.

If 4% of (P+Q) are 8 and P is a positive, what is the greatest possible value of Q?

a.

196%
 

b.

197%
 

c.

198%
 

d.

199%

14.

Find the probability of selecting a prime number from a set of number 1 to 15 (both inclusive).

a.

1/15
 

b.

3/5
 

c.

2/5
 

d.

7/15

15.

In the figure, what is the value of a?

a.

30
 

b.

45
 

c.

72
 

d.

60

16.

The larger of two numbers exceeds twice the smaller number by 9. The sum of twice the larger and 5 times the smaller number is 74. If a is the smaller number, which eqution below determines the correct value of a ?

a.

5(2a+9)+2a = 74
 

b.

5(2a-9+2a)=74
 

c.

(4a+9)+5a=75
 

d.

2(2a+9)+5a=74

17.

The cost, in taka, of manufacturing x microwaves is 6000+300x taka. The amount received when selling these x microwaves is 700x taka. What is the least number of microwaves that must be manufactured and sold so that net profit is Tk. 2,400?

a.

15
 

b.

21
 

c.

19
 

d.

17

18.

The persent ratio of students to teachers at a certain school is 30 to 1. If the student enrollment were to increase by 50 students and the number of teachers were to increase by 5, the ratio of students to teachers would then be 25 to 1. What is the present number of teacher?

a.

15
 

b.

10
 

c.

12
 

d.

8

19.


At the rate of m meters per s seconds, how many meters does a cyclist travel in x minutes?

a.

mx/s
 

b.

60m/sx
 

c.

60ms/x
 

d.

60mx/s

20.

Laboni bought a 1 year, Tk. 10,000 certificate of deposit that paid interest at an annual rate of 8 percent compounded semiannually. What was the total amount of interest paid on his certificate at maturity?

a.


Tk. 10,464
 

b.

Tk. 864
 

c.

Tk. 816
 

d.

Tk. 800