Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?

648

১৮০০

2700

1080

None

648

১৮০০

2700

1080

None

2.

On dividing a number by 5, we get 3 as remainder. What will be the remainder when the square of the number is divided by 5?

০

1

2

৪

None

০

1

2

৪

None

3.

A starts business with Tk 3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided between A and B in the ratio 2:3. What is B's contribution, in Tk, in the capital?

9000

8500

8000

৭৫০০

None

9000

8500

8000

৭৫০০

None

4.

Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B.

2 : 3

৩ : ৪

4 : 3

৪ : ৫

None

2 : 3

৩ : ৪

4 : 3

৪ : ৫

None

5.

In a school, students may bring breakfast, buy it, or may not eat breakfast. If 1/4 of the students bring breakfast, 1/7 don't eat breakfast, and 187 buy it, how many students bring breakfast?

৪৯

৫৮

৬৮

77

None

৪৯

৫৮

৬৮

77

None

6.

X can do a piece of work in 24 days. When he had worked for 4 days, Y joined him. If the work was completed in 16 days, Y alone can finish that work in:

18 days

27 days

36 days

42 Days

18 days

27 days

36 days

42 Days

7.

A can contains a mixture of two liquids A and B in the ratio 7:5. When 9 liters of mixtures are drawn off and the can is filled with B, the ratio of A and B becomes 7:9. How many liters of liquid A was contained by the can initially?

১০

20

২১

25

১০

20

২১

25

8.

If simple interest on Tk. 600 for 4 years and on Tk. 600 for 2 years combined is Tk. 180, find the rate of interest.

৪%

৫%

৫.৫%

৬.২৫%

৪%

৫%

৫.৫%

৬.২৫%

9.

A committee of 5 members is to be formed out of 3 trainees, 4 professors and 6 research associates. In how many different ways can this be done if the committee should have 2 trainees and 2 research associates?

৯

১৫

45

60

৯

১৫

45

60

10.

A bag contains 6 red balls, 11 yellow balls and 5 pink balls. If two balls are drawn at random from the bag one after another, what is the probability that the first ball is red and the second ball is yellow?

1/14

২/৭

5/7

3/14

1/14

২/৭

5/7

3/14

11.

What is the value of x , if (3/5)^x = 125/27 ?

3

2

-3

-2

3

2

-3

-2

12.

Which mathematical expression $\frac{\log \sqrt{27} + \log 8 - \log \sqrt{1000}}{\log 1.2}$

1

2

2/3

3/2

1

2

2/3

3/2

13.

A cyclist trayels at 12 miles per hour. How many minutes will it take to travel 30 miles?

2

2.5

১২০

১৫০

2

2.5

১২০

১৫০

14.

if x = 2 and y = - 1 which of the following expression is the greatest?

x + y

xy

- x + y

x - y - 1

x + y

xy

- x + y

x - y - 1

15.

$i f x = 10^{14}, y = 10^{0.7} a n d x^{z} = y^{3} t h e n i s t h e v a l u e o f z ?$

0.5

0.66

1.5

2

0.5

0.66

1.5

2

16.

The selling price of 15 items equals the cost of 20 items. What is the profit percentage earned by the seller?

১৫

20

25

৩৩.৩

১৫

20

25

৩৩.৩

17.

AC, a diagonal of the rectangle ABCD, measures 5 units. The area of the rectangle is 12 square units. What is the perimeter of the rectangle?

7 unit

14 unit

17 unit

21 unit

7 unit

14 unit

17 unit

21 unit

18.

$i f \frac{1}{x} > 1,$ which of the following must be true?

1 < x^{2}

\frac{1}{x^{2}} > 2

x^{2} > 1

\frac{1}{x^{2}} < 1

1 < x^{2}

\frac{1}{x^{2}} > 2

x^{2} > 1

\frac{1}{x^{2}} < 1

19.

If 7 workers can assemble a car in 8 hours, how long it would take 12 workers to assemble the same car?

3 hours

3 \frac{1}{2} h o u r s

4 \frac{2}{3} h o u r s

5 hours

3 hours

3 \frac{1}{2} h o u r s

4 \frac{2}{3} h o u r s

5 hours

20.

Find the value of the mathematical expression ${(\sqrt{3} + \sqrt{2})}^{3} + {(\sqrt{3} - \sqrt{2})}^{3}$

\sqrt{3}

3 \sqrt{3}

৯

18 \sqrt{3}

\sqrt{3}

3 \sqrt{3}

৯

18 \sqrt{3}

গণিত

Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?

On dividing a number by 5, we get 3 as remainder. What will be the remainder when the square of the number is divided by 5?

A starts business with Tk 3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided between A and B in the ratio 2:3. What is B's contribution, in Tk, in the capital?

Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B.

In a school, students may bring breakfast, buy it, or may not eat breakfast. If 1/4 of the students bring breakfast, 1/7 don't eat breakfast, and 187 buy it, how many students bring breakfast?

X can do a piece of work in 24 days. When he had worked for 4 days, Y joined him. If the work was completed in 16 days, Y alone can finish that work in:

A can contains a mixture of two liquids A and B in the ratio 7:5. When 9 liters of mixtures are drawn off and the can is filled with B, the ratio of A and B becomes 7:9. How many liters of liquid A was contained by the can initially?

If simple interest on Tk. 600 for 4 years and on Tk. 600 for 2 years combined is Tk. 180, find the rate of interest.

A committee of 5 members is to be formed out of 3 trainees, 4 professors and 6 research associates. In how many different ways can this be done if the committee should have 2 trainees and 2 research associates?

A bag contains 6 red balls, 11 yellow balls and 5 pink balls. If two balls are drawn at random from the bag one after another, what is the probability that the first ball is red and the second ball is yellow?

A cyclist trayels at 12 miles per hour. How many minutes will it take to travel 30 miles?

if x = 2 and y = - 1 which of the following expression is the greatest?

The selling price of 15 items equals the cost of 20 items. What is the profit percentage earned by the seller?

AC, a diagonal of the rectangle ABCD, measures 5 units. The area of the rectangle is 12 square units. What is the perimeter of the rectangle?

If 7 workers can assemble a car in 8 hours, how long it would take 12 workers to assemble the same car?