If a copier makes 3 copies every 4 seconds then continues at this rate, how many minutes will it take to make 9,000 copies-

60

100

২০০

3000

60

100

২০০

3000

2.

Three valves when opened individually, can drain the water from certain tank in 3, 4 and 5 minutes respectively, What is the greatest part of the tank that can be drained in one minute by opening just two of valves.

\frac{7}{12}

\frac{1}{2}

\frac{1}{4}

\frac{1}{5}

\frac{7}{12}

\frac{1}{2}

\frac{1}{4}

\frac{1}{5}

3.

The average age of A, B and C is 40 years, Then the sum of the ages of A and C is 85 years. Find the age of B.

30 years

35 years

40 years

45 years

30 years

35 years

40 years

45 years

4.

A man travel a certain distance at a rate of 20 miles an hour and returns at the rate of 30 miles an hour. What is his average speed?

26

25

25.5

24

26

25

25.5

24

5.

If an apple costs of dollars, how many apples can be brought for X dollars?

\frac{X}{d}

\frac{d}{X}

\frac{a}{s}

None

\frac{X}{d}

\frac{d}{X}

\frac{a}{s}

None

6.

If x - y = 0 then xy =?

1

x

x^{2}

x^{2} y

1

x

x^{2}

x^{2} y

7.

If $\frac{a - b}{a + b} = 2$ and b=1 then a=?

1

-2

-1

-3

1

-2

-1

-3

8.

If $p - \frac{1}{p} = 11$ , then find the value of ${(p + \frac{1}{p})}^{2}$

115

১২১

১১১

১২৫

115

১২১

১১১

১২৫

9.

The area of a 2 feet wide wall around the garden that is 30 feet long and 20 feet wide is-

104 sq ft

216 sq ft

704 sq ft

1516 sq ft

104 sq ft

216 sq ft

704 sq ft

1516 sq ft

10.

A rectangular floor is covered by a rug except for a strip P meters wide along each of the four edges. If the floor is m meters by n meters, what is the area of the rug, in square meters?

mn - p(m + n)

mn - 2p(m + n)

mn -

p^{2}

(m - 2p)(n - 2p)

mn - p(m + n)

mn - 2p(m + n)

mn -

p^{2}

(m - 2p)(n - 2p)

11.

If 5A + 3 = 3A + 5 . What is the value of A-

-1

1

3

-1

1

3

12.

Of following which one is greater than $\frac{1}{2}$

\frac{2}{5}

\frac{4}{7}

\frac{4}{9}

\frac{5}{11}

\frac{2}{5}

\frac{4}{7}

\frac{4}{9}

\frac{5}{11}

13.

$\int_{- \infty}^{0} \frac{e^{x} d x}{1 + e^{2 x}}$ এর মান-

\frac{π}{2}

π

\frac{π}{4}

\frac{- π}{4}

\frac{π}{6}

\frac{π}{2}

π

\frac{π}{4}

\frac{- π}{4}

\frac{π}{6}

14.

এক বিন্দুতে $\sqrt{3}, 2 \sqrt{3}$ এবং $3 \sqrt{3}$ মানের বলত্রয় একই ক্রমে পরস্পর কোণে ক্রিয়া করে। এদের লব্ধির মান নির্ণয় কর।

\frac{7 \sqrt{3}}{2}

\frac{\sqrt{7}}{\sqrt{2}}

57

\sqrt{57}

none of them

\frac{7 \sqrt{3}}{2}

\frac{\sqrt{7}}{\sqrt{2}}

57

\sqrt{57}

none of them

15.

একটি বুলেট একটি তক্তা ভেদ করতে এর বেগের $\frac{1}{10}$ অংশ হারায়। মন্দন সুষম হলে, বুলেটটি থামার পূর্বে পরপর স্থাপিত অনুরূপ কতগুলি তক্তা ভেদ করবে?

5 \frac{5}{19}

4 \frac{5}{19}

5 \frac{4}{19}

3 \frac{5}{19}

5 \frac{3}{19}

5 \frac{5}{19}

4 \frac{5}{19}

5 \frac{4}{19}

3 \frac{5}{19}

5 \frac{3}{19}

16.

যদি $x = t - s i n t$ এবং $y = \frac{d x}{d t}$ তাহলে $\frac{d y}{d x}$ কত হবে?

c o t \frac{t}{2}

t a n \frac{t}{2}

t a n t

c o t t

none of them

c o t \frac{t}{2}

t a n \frac{t}{2}

t a n t

c o t t

none of them

17.

$(\begin{matrix} 3 & 1 & 9 \\ 2 x & 2 & 6 \\ x^{2} & 3 & 3 \end{matrix})$ একটি ব্যতিক্রমী ম্যাট্রিক্স হলে x এর মান নির্ণয় কর।

1,3

-1,-3

2,3

-2,3

-1,3

1,3

-1,-3

2,3

-2,3

-1,3

18.

$x^{2} + a x + 8 = 0$ সমীকরণটির একটি মূল $4$ এবং $x^{2} + a x + b = 0$ সমীকরণের মূল দুইটি পরস্পর সমান হলে b এর মান নির্ণয় কর।

৯

৮

৭

6

5

৯

৮

৭

6

5

19.

যদি $\sin^{- 1} (x) + \sin^{- 1} (y) = \frac{π}{2}$ হয়, তবে $x \sqrt{1 - y^{2}} + y \sqrt{1 - x^{2}}$ এর মান নির্ণয় কর।

\frac{1}{2}

\frac{1}{3}

\frac{1}{4}

1

none of them

\frac{1}{2}

\frac{1}{3}

\frac{1}{4}

1

none of them

20.

$(α, β)$ বিন্দুগামী $y = \frac{α x}{β}$ এর লম্ব রেখার সমীকরণ-

α x + β y = α^{2} + β^{2}

α x + β y = 2 α β

α y + β x = 2 α β

α y + β x = α^{2} + β^{2}

none of them

α x + β y = α^{2} + β^{2}

α x + β y = 2 α β

α y + β x = 2 α β

α y + β x = α^{2} + β^{2}

none of them

উচ্চতর গণিত

If a copier makes 3 copies every 4 seconds then continues at this rate, how many minutes will it take to make 9,000 copies-

Three valves when opened individually, can drain the water from certain tank in 3, 4 and 5 minutes respectively, What is the greatest part of the tank that can be drained in one minute by opening just two of valves.

The average age of A, B and C is 40 years, Then the sum of the ages of A and C is 85 years. Find the age of B.

A man travel a certain distance at a rate of 20 miles an hour and returns at the rate of 30 miles an hour. What is his average speed?

If an apple costs of dollars, how many apples can be brought for X dollars?

If x - y = 0 then xy =?

The area of a 2 feet wide wall around the garden that is 30 feet long and 20 feet wide is-

A rectangular floor is covered by a rug except for a strip P meters wide along each of the four edges. If the floor is m meters by n meters, what is the area of the rug, in square meters?

If 5A + 3 = 3A + 5 . What is the value of A-