খুলনা বিশ্ববিদ্যালয় 2012 B ইউনিট

খুলনা বিশ্ববিদ্যালয়

সালঃ 2012

B ইউনিট

1. A person spends 20 percent of his monthly salary for his son's education. In the coming month, he is expected to get an increment of TA. 170 and he plans to spend half of that increment also for his son's education would be TA. 645 . what is the present salary of that person?

Tk. 2800

Tk. 2456

Tk. 2938

Tk. 2756

2. 9 men went to a restaurant together. 8 of them spent Tk. 3 each over their meals and the 9th man spent Tk. 2 more than the average expenditure of all the 9 men. Find out the total money spent by the 9 men?

Tk. 23.49

Tk. 29.25

Tk. 28.25

Tk. 32.00

3. An investor has a total capital of TA. 13,00,000 He invested a part of it in 3 percent annual interest and the reminder at 4 percent annual interest rate. If his annual interest amount was Tk. 44.00 how much did he invest in each?

Tk. 5,00,000 in 3% and 8,00,000 in 4%

Tk. 4,00,000 in 3% and 9,00,000 in 4%

Tk. 9,00,000 in 3% and 4,00,000 in 4%

TK. 8,00,000 in 3% and 5,00,000 in 4%

4. The batting average for 40 innings of a cricket player is 50 runs. His highest score exceeds his lowest score by 172 runs. If these two innings are excluded then the average of the remaining 38 innings becomes 48 nuns. what is his highest score?

178

182

174

173

5. If x -y=2 and xy =3 , then x + y =?

-4

+- 4

6. A triangle has an angle of 82 degree The ratio of the other two angles is 2: 5 what is the smallest angle of the triangle?

7 degree

28 degree

98 degree

14 degree

7. The ratio of working hours of three workers is 1: 2: 5 . If they worked on a combined total of 112 hours , what is the longest hour did one worker work?

8. An empty swimming pool with a capacity of 5760 gallons is filled at the rate of 112 hours what is the longest hour did one worker work?

9. Sum of ages of sunny and Imran is Y years. If sunny is 12 years older than Imran , how many years old will Imran be Y years from now, in terms of Y?

Y-6

2Y-6

Y/2-6

3Y/2-6

10. At Lions High school 100 students are taking chemistry and 80 students are taking Biology. If 20 students are taking both chemistry and Biology , what is the ratio of the students taking only chemistry to the number taking only Biology?

3/4

4/3

5/4

1/4

11. If x +y =a, Y +z=b and x +z =c what is the average (arithmetic mean ) of x, y and z?

(a+bb+c)/6

(a+b+c)/4

(a +b+c)/3

(a+b+c)/2

12. a, b,c are positive numbers such that 3a=4b=5c. If a+b =kc, what is the value of K?

12/35

5/7

10/7

35/12

13. Select the correct answer choice of the following Question : "9 men went to a restaurant together. 8 of them spent Tk. 3 each over their meals and the 9th man spent Tk, 2 more than the average expenditure of all the 9 men, Find out the total money spent by the 9 men?"

Tk, 23.49

Tk. 29.25

Tk. 28.25

Tk,. 32.00

14. Select the correct answer choice of the following Question : "A person spends 20 percent of his monthly salary for his son's education. In the coming month, he is expected to get an increment of TA. 170 and he plans to spend half of that increment then for his son's education. The total he would spend then for his son's education would be TA. 645. What is the present salary of that person?"

Tk. 2800

Tk, 1456

Tk, 2938

Tk, 2756

15. Select the correct answer choice of the following Question : "An investor has a total capital of TA. 13,00,000. He invested a part of it in 3 percent annual interest and the reminder at 4 percent annual interest rate. If his annual interest amount was Tk. 44,000 how much did he invest in each?"

Tk, 5,00,000 in 3% and 8,00,000 in 4%

Tk. 4,00,000 in 3% and 9,00,000 in 4%

Tk. 9,00,000 in 3% and 4,00,000 in 4%

Tk. 8,00,000 in 3% and 5,00,000 in 4%

16. Select the correct answer choice of the following Question : "The batting average for 40 innings of a cricket player is 50 runs. His highest score exceeds his lowest score by 172 runs. If these two innings are excluded then the average of the remaining 38 innings becomes 48 runs. What is his highest score?"

178

182

174

173

17. Select the correct answer choice of the following Question : "The ratio of working hours of three workers is 1 : 2 : 5, If they worked on a combined total of 112 hours, what is the longest hour did one worker work?"

18. Select the correct answer choice of the following Question :" An empty swimming pool with a capacity of 5760 gallons is filled at the rate of 12 gallons per minute, How many hours does it take to fill the pool to capacity?

19. Select the correct answer choice of the following Question : "Sum of ages of Sunny and Imran is Y years. If Sunny is 12 years older than Imran, how many years old will Imran be Y years from now, in terms of Y?"

Y-6

2Y-6

Y/2-6

3Y/2-6

20. Select the correct answer choice of the following Question : "At Lions High School 100 students are taking Chemistry and 80 students are taking Biology. If 20 students are taking both Chemistry and Biology, what is the ratio of the students taking only Chemistry to the number taking only Biology?

3/4

4/3

5/4

1/4

21. Select the correct answer choice of the following Question : "If x + y = a, y + z = b and x + z = c what is the average (arithmetic mean) of x, y and z?"

(a+b+c)/6

(a+b+c)/4

(a+b+c)/3

(a+b+c)/2

22. Select the correct answer choice of the following Question : "a, b, c are positive numbers such that 3a = 4b = 5c, If a+b=kc, What is the value of K?"

12/35

5/7

10/7

35/12

23. $1 + \frac{3}{1!} + \frac{5}{2!} + \frac{7}{3!} + . . . . . .$ ধারাটির যোগফল কত?

24. ${(2 x^{2} - \frac{1}{x^{2}})}^{4}$ এর বিস্তৃতিতে x বর্জিত পদ কোনটি?

-24

-32

25. $\frac{1}{2} \sqrt{2 + \sqrt{2 + 2 \cos θ}}$ এর মান কত?

$\cos θ$

$\cos^{2} θ$

$2 \cos θ$

$2 \cos^{2} θ$

26. $\int_{0}^{1} \frac{d x}{\sqrt{2 x - x^{2}}}$ এর মান কত?

$π$

$\frac{π}{2}$

$2 π$

$\frac{π}{4}$

27. $|\begin{matrix} 1 & 1 & 1 \\ 1 & 2 & 3 \\ 1 & 4 & k \end{matrix}|$ নির্ণায়কটির মান 2 হলে k এর মান কত?

28. যদি $\vec{a} = \hat{i} + 2 \hat{j} - 3 \hat{k}$ এবং $\vec{b} = 3 \hat{i} - \hat{j} + 2 \hat{k}$ হয়, তবে $\vec{a} + \vec{b}$ এবং $\vec{a} - \vec{b}$ এর মধ্যবর্তী মান হবে-

$45 °$

$90 °$

$30 °$

$120 °$ ‘

29. কোন শ্রেণীতে ছাত্রদের মধ্যে 28 জন পদার্থবিজ্ঞান, 23 জন গণিত, 23 জন রসায়ন, 12 জন পদার্থবিজ্ঞান ও গণিত, 11 জন পদার্থবিজ্ঞান ও রসায়ন, 8 জন গণিত ও রসায়ন এবং 5 জন তিনটি বিষয়ই নিয়েছে প্রত্যেক ছাত্রকেই উক্ত বিষয়গুলোর অন্তত একটি নিতে হয়েছে। শ্রেণীটির মোট ছাত্র সংখ্যা কত?

100

30. স্বরবর্ণগুলোকে পাশাপাশি না রেখে ‘TRIANGLE' শব্দটির অক্ষরগুলো কত রকমে সাজানো যাবে?

36000

12000

10,00000

41420

31. নিচের কোন সরলরেখার সমীকরণটি 5x-3y-7=0 ও 4x+y-9=0 রেখা দুটির বিন্দু দিয়ে যায় এবং 13x-y-1=0 রেখার সমান্তরাল।

20x-y-30=0

13x-y-25=0

5x-y+25=0

30x-2y-20=0

32. একটি সরলরেখা (8, -2) বিন্দু দিয়ে অতিক্রম করে। মূল বিন্দু দিয়ে এর উপর লম্ব আকাঁ হল। লম্বটি যদি x অক্ষের সাথে $45 °$ কোণ উৎপন্ন করে তাহলে লম্বটির দৈর্ঘ্য কত?

$2 \sqrt{3}$

$3 \sqrt{2}$

33. $f : R \to R$ কে $f (x) = x^{2} + 1$ দ্বারা সংজ্ঞায়িত করা হল, $f^{- 1} (5) = ?$

{3, -2}

{-2, 3}

{2, -2}

{-4, 0}

34. যে কোন দিন বর্ষা হবার সম্ভাবনা যদি 50% হয়, তাহলে পাঁচ দিনের মধ্যে একটানা তিন দিন বর্ষা হবার সম্ভাবনা কত?

3/32

1/4

5/16

1/2

35. 9 জন লোকের একটি দল দুটি যানবাহনে ভ্রমণ করবে, এ যানবাহনের একটিতে 7 জনের বেশী অপরটিতে 4 জনের বেশি ধরে না। দলটি কত রকম ভ্রমণ করতে পারবে?

264

246

256

258

36. নিচের চিত্রে $f : A \to B$ এবং $g : B \to C$ হলে কোন উত্তরটি সঠিক?

(gof)(1)≠ (gof)(3)

(gof)(1)=(gof)(3)

(gof)(2)≠(gof)(3)

(gof)(2)=(gof)(3)

37. নিচের প্রবাহ চিত্রের মাধ্যমে কোন ফল নিণংয় করা যাবে?

2+4+6+... ... ... +2N

2✕4✕6 ... ... ...✕2N

4+16+36+ ... ... ... + $(N - 1)^{2}$

4+16+36+ ... ... ... $(2 N)^{2}$

RightAns: 0 | WrongAns: 0 | Result: 0/0