In the figure below, AD = 4, CD = 9 and DE = 3 AE, What is the area of triangle AEC?

2.5

4.5

১৩

২৭

2.5

4.5

১৩

২৭

2.

How much money would a man have to invest at the rate of 5% per year, to have Tk. 1470 at the end of the year?

700

১৪০০

1462

১৫০০

700

১৪০০

1462

১৫০০

3.

During a certain chess tournament, each of six players will play with every other player exactly once. Then, how many different matches will be played during the tournament?

12

১৫

১৮

৩০

12

১৫

১৮

৩০

4.

If 77:28:: 55: x, find the value of x.

20

45

17

None

20

45

17

None

5.

The length of a rectangle is increased by 20% and width is decreased by 10%. What is the change of area in percentage?

15%

৮%

১২%

১০%

15%

৮%

১২%

১০%

6.

What is the cost in taka to put tiles in a room of x yards long and y yards wide, if the tile costs 10 taka per square foot?

xy

20xy

45xy

90xy

xy

20xy

45xy

90xy

7.

For what values of ‘k’ will the pair of equations 3x + 4y = 12 and kx + 12y = 30 not have a unique solution?

12

৯

3

৭.৫

12

৯

3

৭.৫

8.

Three years back, a father was 24 years older than his son. at present the father is 5 times as old as the son. How old will the son be three years from now?

6 years

3 years

9 years

27 years

6 years

3 years

9 years

27 years

9.

8% of 0.06 =?

0.048

0.48

4.8

0.0048

0.048

0.48

4.8

0.0048

10.

If x = 1 and y = - 2, then 2x - 3y =

-7

-4

5

৮

-7

-4

5

৮

11.

If joe is now x years old and Marie is 6 years older than joe, which of the following gives Marie's age 8 years ago?

x - 14

x - 6

x - 2

6x - 8

x - 14

x - 6

x - 2

6x - 8

12.

In a certain group, 12 of the children average are age 10 and eight are age 15. What is the average the ages of all the children in the group?

9.50

10.50

11.50

12

9.50

10.50

11.50

12

13.

How many prime numbers are there between 45 and 72?

৪

5

6

৭

৪

5

6

৭

14.

If the price of an item increases from Tk. 5 to Tk. 8, the old price is what % of the new price?

২০%

60%

62.50%

92.50%

২০%

60%

62.50%

92.50%

15.

A trader incurs a loss of 10% from selling an item. If the selling price was Tk. 200 more, he would have made a profit of 15%. What was the cost of the item?

800

720

1200

900

800

720

1200

900

16.

The ratio of green marbles to red marbles in a box is 3:5. If there are 24 marbles in the box, how many additional green marbles will be required to make the ratio of green marbles to red marbles 1:1?

12

৯

6

None of the above

12

৯

6

None of the above

17.

For which of the following lengths of a side of a square would the perimeter be divisible by both 4 and 9?

6

৭

৯

None

6

৭

৯

None

18.

If x=-1, then -(x⁴+x³+x²+x)=?

-10

-4

0

৪

-10

-4

0

৪

19.

Of the following, which is greater than $\frac{1}{2}$ ?

2/5

৪/৭

৪/৯

5/11

2/5

৪/৭

৪/৯

5/11

20.

How many meters of fencing are needed to enclose a circular flower bed the radius of which is 7 meters?

১১

২২

44

66

১১

২২

44

66

সাধারণ গণিত

In the figure below, AD = 4, CD = 9 and DE = 3 AE, What is the area of triangle AEC?

How much money would a man have to invest at the rate of 5% per year, to have Tk. 1470 at the end of the year?

During a certain chess tournament, each of six players will play with every other player exactly once. Then, how many different matches will be played during the tournament?

If 77:28:: 55: x, find the value of x.

The length of a rectangle is increased by 20% and width is decreased by 10%. What is the change of area in percentage?

What is the cost in taka to put tiles in a room of x yards long and y yards wide, if the tile costs 10 taka per square foot?

For what values of ‘k’ will the pair of equations 3x + 4y = 12 and kx + 12y = 30 not have a unique solution?

Three years back, a father was 24 years older than his son. at present the father is 5 times as old as the son. How old will the son be three years from now?

8% of 0.06 =?

If x = 1 and y = - 2, then 2x - 3y =

If joe is now x years old and Marie is 6 years older than joe, which of the following gives Marie's age 8 years ago?

In a certain group, 12 of the children average are age 10 and eight are age 15. What is the average the ages of all the children in the group?

How many prime numbers are there between 45 and 72?

If the price of an item increases from Tk. 5 to Tk. 8, the old price is what % of the new price?

A trader incurs a loss of 10% from selling an item. If the selling price was Tk. 200 more, he would have made a profit of 15%. What was the cost of the item?

The ratio of green marbles to red marbles in a box is 3:5. If there are 24 marbles in the box, how many additional green marbles will be required to make the ratio of green marbles to red marbles 1:1?

For which of the following lengths of a side of a square would the perimeter be divisible by both 4 and 9?

How many meters of fencing are needed to enclose a circular flower bed the radius of which is 7 meters?