গণিত

1.

The ratio of the area of a circle to the radius of the circle is _

a.

π

b.

2π

c.

d.

2.

In a certain recipe , <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn><mfrac><mn>1</mn><mn>4</mn></mfrac></math> <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mi>u</mi><mi>p</mi><mi>s</mi><mo> </mo><mi>o</mi><mi>f</mi><mo> </mo><mi>f</mi><mi>l</mi><mi>o</mi><mi>u</mi><mi>r</mi><mo> </mo><mi>a</mi><mi>r</mi><mi>e</mi><mo> </mo><mi>c</mi><mi>a</mi><mi>l</mi><mi>l</mi><mi>e</mi><mi>d</mi><mo> </mo></math><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mi>o</mi><mi>r</mi><mo> </mo><mi>t</mi><mi>o</mi><mo> </mo><mi>m</mi><mi>a</mi><mi>k</mi><mi>e</mi><mo> </mo><mi>a</mi><mo> </mo><mi>c</mi><mi>a</mi><mi>k</mi><mi>e</mi><mo> </mo><mi>t</mi><mi>h</mi><mi>a</mi><mi>t</mi><mo> </mo><mi>s</mi><mi>e</mi><mi>r</mi><mi>v</mi><mi>e</mi><mi>s</mi><mo> </mo><mn>6</mn><mo>.</mo></math> <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>I</mi><mi>f</mi><mo> </mo><mi>M</mi><mi>r</mi><mi>s</mi><mo>.</mo><mo> </mo><mi>J</mi><mi>e</mi><mi>s</mi><mi>m</mi><mi>i</mi><mi>n</mi><mo> </mo><mi>w</mi><mi>a</mi><mi>n</mi><mi>t</mi><mi>s</mi><mo> </mo><mi>t</mi><mi>o</mi><mo> </mo><mi>u</mi><mi>s</mi><mi>e</mi><mo> </mo><mi>t</mi><mi>h</mi><mi>e</mi><mo> </mo><mi>s</mi><mi>a</mi><mi>m</mi><mi>e</mi></math> <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mi>e</mi><mi>c</mi><mi>i</mi><mi>p</mi><mi>e</mi><mo> </mo><mi>t</mi><mi>o</mi><mo> </mo><mi>m</mi><mi>a</mi><mi>k</mi><mi>e</mi><mo> <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi><mi>o</mi><mi>w</mi><mo> </mo><mi>m</mi><mi>a</mi><mi>n</mi><mi>y</mi><mo> </mo><mi>c</mi><mi>u</mi><mi>p</mi><mi>s</mi><mo> </mo><mi>o</mi><mi>f</mi><mo> </mo><mi>f</mi><mi>l</mi><mi>o</mi><mi>u</mi><mi>r</mi><mo> </mo><mi>m</mi><mi>u</mi><mi>s</mi><mi>t</mi><mo> </mo><mi>s</mi><mi>h</mi><mi>e</mi><mo> </mo><mi>u</mi><mi>s</mi><mi>e</mi><mo>?</mo></math></mo><mi>a</mi><mo> </mo><mi>c</mi><mi>a</mi><mi>k</mi><mi>e</mi></math> f
<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mi>o</mi><mi>r</mi><mo> </mo><mn>8</mn><mo>,</mo></math>

a.

b.

c.

3 cups

d.

3. $3 \frac{3}{8}$

a.

3 \frac{3}{8}

b.

3 \frac{3}{8}

c.

3 \frac{3}{8}

d.

3 \frac{3}{8}

e. 4 cups

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

a. π

b. 2π

c.

π^{2}

d.

4 π^{2}

e. Cannot be determined

5. At a party, everyone must shake the hand of the other. If the total number of handshakes is 66, there are ----people at the party.

a. 18

b. 9

c. 12

d. 15

e. none of these

6. A clock seen through the mirror reads a quarter to nine. What is the actual time?

a. 9:30

b. 3:15

c. 1:15

d. 11:15

e. none of these

7. Insert the missing number? 4 11 8 19 12 ?

a. 25

b. 27

c. 20

d. 30

e. none of these

8. There are 3 doors to a lecture room, In how many ways can a lecturer enter and leave the room?

a. 1

b. 3

c. 6

d. 9

e. 12

9. 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. B>C>A

e. C>B>A

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

a. -1

c. 2/3

d. 1

e. 2

11. 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

e. none of these

12. 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

e. 7n/4

13. 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. 1.5 mph

b. 3 mph

c. 4.5 mph

d. 6 mph

e. 9 mph

14. Assuming the car in procedure 1 traveled at a constant speed, approximately how long would it take the car to travel 100 feet?

a. 100 seconds

b. 68.4 seconds

c. 30.4 seconds

d. 25 seconds

e. 22.8 seconds

15. During which procedure and trial did the car travel at the highest speed?

a. Procedure 1, Trial 1

b. Procedure 1, Trial 2

c. Procedure 1, Trial 3

d. Procedure 2, Trial 1

e. Procedure 2, Trial 3

16. Assuming that the car traveled at a constant speed, approximately how far had the car with hard wheels traveled in Trial 3 after 11.25 seconds?

a. 22.5 feet

b. 37.5 feet

c. 75.0 feet

d. 253.125 feet

e. Not enough information is given

17. What was the average time the car with the soft wheels took to cross the 75-foot mark?

a. 22.8 seconds

b. 33.9 seconds

c. 39.8 seconds

d. 56.7 seconds

e. 170.1 seconds

18. What is the difference between $\sqrt{150} a n d \sqrt{54}$

a.

2 \sqrt{6}

b.

16 \sqrt{6}

c.

9 \sqrt{6}

d.

6 \sqrt{2}

19. A shirt was sold for Tk. 171 and the gain was as much percent as it costs in Taka amount. What was the purchase price of the shirt?

a. Tk. 78

b. Tk. 82

c. Tk. 76

d. None of these

20. If the price of onion is decreased by 60%, find by how much percent a man must increase his consumption of onion so that the expenditure on onion remains same?

a. 60%

b. 66%

c. 100%

d. 150%

21. If 3 apples cost Tk. 19, how many apples can be purchased for Tk. 152?

a. 15

b. 19

c. 22

d. 24

22. If x-y=2 and xy=80. What is the value of x3-y3?

a. 520

b. 488

c. 380

d. 466

23. 10 minutes after a plane leaves the airport, it is reported to be 40 miles away. What is the average speed in miles per hour of the plane?

a. 560

b. 660

c. 400

d. 240

24. How much will it cost to fence in a field that is 360 cm long and 160 cm wide with fence that costs Tk. 100 a meter?

a. 1020

b. 1040

c. 1060

d. 1070

25. A gas tank is 1/5th full and requires 32 gallons more to make it 3/7th full. What is the capacity of the tank?

a. 115

b. 120

c. 135

d. 140

26. Taka 1105 was divided among A, B and C. The amount of money received by A and B were in the ratio of 1:2. Amount of money received by B and C were in the ratio 3:4. How much money did A receive?

a. 390

b. 130

c. 195

d. None of these

27. The sum of six consecutive add numbers exceeds twice the largest by 38. Find the sum of the six numbers.

a. 42

b. 50

c. 57

d. 72

28.

When they had a meeting seven company executives __ T, U, V, W, X, Y and Z ___ sit at a rectangular table .Three executives sit along one side of the table , and three sit along the other side, each directly opposite one of the other three. The seventh sits at the head of the table . There is no seat at the foot of the table . Ualways sits in one of te two seats farthest from the head of the table. Y and V always sit next to each other .V never sits next to Z . If Z does not sit at the head of the table, W sits there. If W sits directly opposite T, X must sit next to which of the following excutives?

a.

T

b.

U

c.

V

d.

Z

29.

What is the maximum number of <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn><mfrac><mn>1</mn><mn>4</mn></mfrac></math> <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mi>e</mi><mi>e</mi><mi>t</mi><mo> </mo><mi>p</mi><mi>i</mi><mi>e</mi><mi>c</mi><mi>e</mi><mi>s</mi><mo> </mo><mi>o</mi><mi>f</mi><mo> </mo><mi>w</mi><mi>i</mi><mi>r</mi><mi>e</mi><mo> </mo><mi>t</mi><mi>h</mi><mi>a</mi><mi>t</mi><mo> </mo><mi>b</mi><mi>e</mi><mo> </mo><mi>c</mi><mi>u</mi><mi>t</mi><mo> </mo><mi>f</mi><mi>r</mi><mi>o</mi><mi>m</mi><mo> </mo><mi>a</mi><mspace linebreak="newline"/><mi>w</mi><mi>i</mi><mi>r</mi><mi>e</mi><mo> </mo><mi>t</mi><mi>h</mi><mi>a</mi><mi>t</mi><mo> </mo><mi>i</mi><mi>s</mi><mo> </mo><mn>24</mn><mo> </mo><mi>f</mi><mi>e</mi><mi>e</mi><mi>t</mi><mo> </mo><mi>l</mi><mi>o</mi><mi>n</mi><mi>g</mi><mo>?</mo></math>

a.

11

b.

18

c.

19

d.

20

30. If z sits at the head of the table, Y directly opposite U, and V immediately on X's left, what is the highest number of possible sitting arrangements of the executives?

a. 1

b. 2

c. 3

d. 4

31. If W sits directly opposite U and next to T, the two executives sitting immediately on either side of x would be _

a. Y and V

b. Y and W

c. T and Z

d. T and V

32. If T and U sit immediately on either side of X, the executive sitting directly opposite X must be either __

a. W OR V

b. W OR Z

c. Y OR V

d. Y OR Z

33. If Z sits directly opposite X, which executive must sit next to U?

a. T

b. V

c. W

d. Y

34. If T sits directly opposite z and next to V, which executive must sit directly opposite U?

a. V

b. W

c. X

d. Y

35. Mr x Made a fixed desposit of Tk. 10,000 for 1 year at an annual rate of 8 percent compounded seiannually. Calculate the amount of interest to be paid at maturity ?

a. Tk. 10214

b. Tk. 364

c. Tk. 816

d. Tk. 480

36. A Collection of 16 coins,each with a face value of either 10 paisa or 25 paisa, has a total face value of Tk. 2.35 How many of the coins have a face value of 25 paisa?

a. Updated: 2 weeks ago 3

b. 5

c. 7

d. 9

37. A rectangular floor that measures 8 meters by 10 meters is to be covered with carpet squares that each measure 2 meters by 2 meters . If a carpet square costs Tk. 12, calculate the total cost to cover $\frac{2}{3}$ of the floor?

a. Tk. 160

b. Tk. 240

c. Tk. 480

d. None of these

38. If $8^{2 x + 1} = 2^{9 x + 6} t h e n x = ?$

a. 2

b. -2

c. 1

d. -1

39. The price of lunch for 13 people was Tk. 207.00 including 15% serveice charge. What was the everage price per person excluding the service charge?

a. Tk. 11.73

b. Tk. 12.00

c. Tk. 13. 80

d. TK. 15.87

40. In a shipment of 120 machine parts 5% were defective . In a shipment of 80 machine part, 10% were defective . For the two shipments combined , what percent of the machine parts were defective?

a. 6.5%

b. 7.0%

c. 7.5%

d. 8.5%

41. There are 10 books on a shelf , of which 4 are paperbacks and 6 are hardbacks . How many possible selections of 5 books from the shelf contain at least one paperback and at least one hardback?

a. 75

b. 120

c. 210

d. 246

42. If 893*78=p , which of the following is equal to 893*78?

a. P +1

b. P + 78

c. P + 79

d. Try your self

43. $\frac{(0.0036) (2.8)}{(0.04) (0.1) (0.003)} = ?$

a. 840

b. 84

c. 8.4

d. 0.84