Admission - উচ্চতর গণিত - Page 299 - Prothom Sir

নিচের কোনটি এক এক ফাংশন?

f (x) = x^{2}

f (x) = x^{2} + 4

f (x) = x^{3}

="http://www.w3.org/1998/Math/MathML">f(x)=x3

f (x) = x^{2} - 1

f (x) = x^{2}

f (x) = x^{2} + 4

f (x) = x^{3}

="http://www.w3.org/1998/Math/MathML">f(x)=x3

f (x) = x^{2} - 1

2.

$\frac{1}{2} - \frac{1}{4} - \frac{1}{8} - \frac{1}{16} + - - - \infty = ?$

1/2

১/৩

1/4

1/8

1/2

১/৩

1/4

1/8

3.

$x^{2} + y^{2} - 8 x + 4 y + c = 0$ বৃত্তটি x অক্ষকে স্পর্শ করে। c এর মান কত?

১৬

3

৪

20

১৬

3

৪

20

4.

$f (x) = x^{3}$ ফাংশনের রেঞ্জ {0, 8} হলে ডোমেন কোনটি?

[0, 2]

(0, 2)

{0, 2}

[0, 3]

[0, 2]

(0, 2)

{0, 2}

[0, 3]

5.

$\sin A = \frac{12}{13}$ হলে cosA এর মান কত?

৫/১৩

-5/13

± 5/13

1/2

৫/১৩

-5/13

± 5/13

1/2

6.

$\cos θ + \sin θ = \sqrt{2}$ হলে $θ$ এর মান কত?

2 n π + \frac{π}{2}

nπ + \frac{π}{2}

2 nπ + \frac{π}{4}

nπ

2 n π + \frac{π}{2}

nπ + \frac{π}{2}

2 nπ + \frac{π}{4}

nπ

7.

$4 x - 2 y + 7 = 0$ পরাবৃত্তের উপকেন্দ্রের স্থানাংক-

(7/12, 0)

(0, 7/12)

(7/12,1)

(-5/12, 0)

(7/12, 0)

(0, 7/12)

(7/12,1)

(-5/12, 0)

8.

(2,3,1) ও (3,1,2) ভেক্টরের স্কেলার গুণফল ও মধ্যবর্তী কোণ কত?

5,

30 °

0,

90 °

7, 60 °

54, 60 °

5,

30 °

0,

90 °

7, 60 °

54, 60 °

9.

If n and p are both odd numbers, Which of the following numbers must be an even number?

n + p

NP

np + 2

n + p + 1

n + p

NP

np + 2

n + p + 1

10.

Starting from position X on the plain play ground of Khulna University, one particular student walks 10 years due north, then 6 years due east and then 2 years due south and by that reached at position Y. Now, detect how far apart, in yards, are position X and Y?

১৬

14

12

১০

১৬

14

12

১০

11.

The size of the Philips LCD television screen is given as the length of the screen's diagonal, Assume that the screen of the television were flat, Find out how many square inches greater would be the screen of a square 21-inch television st than that of a square 19-inch television set

৪

১৬

38

40

৪

১৬

38

40

12.

A bird under controlled diet is fed daily 300 grams of a mixture of two foods; food A and food B, Food A contains 10% protein and food B contains 15% proten. If the bird's diet provides exactly 38 grams of protein daily. how many grams of food A are there in the mixture?

100

140

১৫০

160

100

140

১৫০

160

13.

Khulna University has a student-to-teacher ratio of 11 to 1; The average annual salary of the teachers is Tk, 26,000, if the university pays a total of 33,80,000 in annual salaries to its teachers how many students the university have?

1130

1265

১৪৩০

১৫৭৫

1130

1265

১৪৩০

১৫৭৫

14.

Arman invested Tk,. 10,000 in a mutual fund account three years ago, The value of the account increased by 10% during the first year. increased by 5% during the second year but unfortunately decreased by 10% during the penultimate year. What is the value of the account today?

10,350

10,395

10,500

১১,৫০০

10,350

10,395

10,500

১১,৫০০

15.

A glucose contains 15 grams of glucose per 100 cubic centimeters of solution, If 45 cubic centimeters of solution were poured into an empty container, how many grams of glucose would be in the container?

৫.৫০

6.50

6.75

৫.৫০

6.50

6.75

16.

If X and Y are the two digits of the number 653XY in such that this number is divisible by 80m then what is the value of X + Y?

2

3

৪

6

2

3

৪

6

17.

The ratio between the length and the breadth of a rectangular park is 3 : x. If a man cycling along the boundary of the park at the speed of 20 km/hr completes on round in 8 minutes, then what would be the area of the park in square kilometer?

15,360

153,600

30,720

307,200

15,360

153,600

30,720

307,200

18.

$\sin^{- 1} x + \sin^{- 1} y = \frac{π}{2}$ হলে, $x^{2} + y^{2}$ = ?

1

2

3

1

2

3

19.

একটি বস্তুকণা 35 সে.মি. ব্যাসার্ধবিশিষ্ট বৃত্তের পরিধি বরাবর 10 সেকেন্ডে ব্যাসের একপ্রান্ত থেকে অপর প্রান্তে পৌঁছালে, তার গড়বেগ কত সে.মি. ?

3.5

৭

১১

109

3.5

৭

১১

109

20.

একটি তথ্যসারির ব্যবধানাঙ্ক 80% এবং পরিমিত ব্যবধান 8 হলে, তাদের গাণিতিক গড় কত হবে ?

1

১০

64

৬৪০

1

১০

64

৬৪০