Job Solution - উচ্চতর গণিত - Page 7 - Prothom Sir

$\int x^{2} \cos x^{3} d x = ?$

\sin x^{3} + C

1 / 3 \sin x^{2} + C

1 / 3 \sin x^{3} + C

\sin x^{3} + C

1 / 3 \sin x^{2} + C

1 / 3 \sin x^{3} + C

2.

In the figure below AD=4 AB=3 and CD=9, what is the area of triangle ACE?

১৮

13.5

৯

4.5

3

১৮

13.5

৯

4.5

3

3.

In a local election X and Y contested. X won the election as the ratio to his votes and those of Y was 4:3 The total number of voters was 5810, of which 910 , did not vote . what is the margin of votes by which Y was defeated?

350

700

750

900

1000

350

700

750

900

1000

4.

The price of a laptop was sold at 10% discount on the price . If the profit is Tk. 2400 what was the cost of the laptop is TK?

20,000

24,000

28,000

32,000

None

20,000

24,000

28,000

32,000

None

5.

`A car going 40 miles per hour set out on an 80 miles trip at 9.00 A.M. Exactly 10 minutes latter, a second car left from miles per hour, was the second car going if it caught up with the first car at 10.30 A. M.?

45

500

53

55

60

45

500

53

55

60

6.

There are 12 men on basketball team , and in a game 5 of them play at any one time. If the game is 1 hour long and if each man plays exactly the same amount of time, how many minutes each man play?

১০

12

20

24

৩২

১০

12

20

24

৩২

7.

A club had 3 boys and 5 girls. During a membership drive, the same number of boy and girls joined the club. How many members does the club have now , if the ratio of the boys to girls is 3:4?

12

14

১৬

২১

২৮

12

14

১৬

২১

২৮

8.

On a certai project, the only grades awarded were 745 and 100. If 85 students completed the projects and the average of their grades was 85, how many of them did score 100?

৩৪

40

45

51

60

৩৪

40

45

51

60

9.

In a survey of the town bogra , it was found that 65% of the people surveyed watched the news on TV, 40% read a newspaper and watched the news on TV, what percentage of the people surveyed neither watched the news on V nor read a newspaper?

৬%

৫%

১০%

15%

২০%

৬%

৫%

১০%

15%

২০%

10.

If the radius of a circle is increased by 6% , then the area of the circle is increased by-

3.6%

6.5%

12.36%

৩০%

36%

3.6%

6.5%

12.36%

৩০%

36%

11.

$3 \int s e c 3 x \tan 3 x d x = ?$

\tan 3 x + c

s e c 3 x + c

3 s e c 3 x + c

- \tan 3 x + c

\tan 3 x + c

s e c 3 x + c

3 s e c 3 x + c

- \tan 3 x + c

12.

r = a পোলার সমীকরণটিকে কার্টেসীয় সমীকরণে রুপান্তরিত করলে কোনটি হবে ?

x^{2} + y^{2} = a x

x^{2} + y^{2} + a x = 0

x^{2} + y^{2} = a^{2}

x^{2} + y^{2} + a^{2} = 0

x^{2} + y^{2} = a x

x^{2} + y^{2} + a x = 0

x^{2} + y^{2} = a^{2}

x^{2} + y^{2} + a^{2} = 0

13.

x + y - 1 =0 সরলরেখাটি x অক্ষের সাথে যে বিন্দুতে মিলিত হয় তার স্থানাংক কোনটি ?

(0, 1)

(0, -1)

(-1, 0)

(1, 0)

(0, 1)

(0, -1)

(-1, 0)

(1, 0)

14.

$|\sqrt{- 1}|$ এর মান কোনটি ?

1

i

-1

-i

1

i

-1

-i

15.

x + y = 4 সরলরেখাটি অক্ষদ্বয়ের সাথে যে ত্রিভূজটি উৎপন্ন হবে তার ক্ষেত্রফল কত বর্গ একক ?

1

2

৪

৮

1

2

৪

৮

16.

এককের ঘনমূল $ω$ হলে $ω^{3 (n + 2)}$ এর মান কোনটি ?

-1

1

ω

-1

1

ω

17.

$\tan y = \frac{2 t}{1 - t^{2}}, \sin x = \frac{2 t}{1 + t^{2}}$ হলে $\frac{d y}{d x}$ কত ?

2 \tan^{- 1} t

2 \sin^{- 1} t

\sin^{- 1} \frac{2 t}{1 + t^{2}}

1

2 \tan^{- 1} t

2 \sin^{- 1} t

\sin^{- 1} \frac{2 t}{1 + t^{2}}

1

18.

সমকোণে ক্রিয়ারত P ও 2P মানের দুটি বলের লদ্ধি 2p মানের সাথে যে কোন উৎপন্ন করে তার মান কত ?

\tan^{- 1} 2

\tan^{- 1} \frac{1}{2}

\tan^{- 1} \frac{1}{2 p}

\tan^{- 1} \frac{1}{p}

\tan^{- 1} 2

\tan^{- 1} \frac{1}{2}

\tan^{- 1} \frac{1}{2 p}

\tan^{- 1} \frac{1}{p}

19.

যদি $5 \tan θ = 4$ হয় তাহলে $\frac{5 \sin θ - 3 \cos θ}{\sin θ + 2 \cos θ} = ?$

6/15

6/16

5/14

1/8

6/15

6/16

5/14

1/8

20.

$\frac{d}{d x} I n \{s e c (2 x + 3)\}$ এর মান কোনটি ?

2 sec (2x + 3)

2 tan (2x + 3)

-2tan (2x +3)

2 tan (2x + 3) +c

2 sec (2x + 3)

2 tan (2x + 3)

-2tan (2x +3)

2 tan (2x + 3) +c