1-Mavzu: To’plamlar va ular ustida amallar testlar

1-Mavzu: To’plamlar va ular ustida amallar

TESTLAR

1. Sanoq davomida ishlatiladigan sonlar to`plami qanday nomlanadi?.

a) natural

b) ratsional

c) butun

d) haqiqiy

2. Tenglamani yeching: $$x^{2}+5x-6=0$$ .

a) -6, 1

b) 6, 1

c) -6, -1

d) 6, -1

3. Kasr ko`rinishida yozish mumkin bo`lgan sonlar to`plami qanday nomlanadi?

a) ratsional

b) butun

c) natural

d) iratsional

4.Tenglamaning yechimlari yig`indisini toping: $$2x^{2}+10x-12=0$$

a) -5

b) 0

c) -6

d) 6

5.Qaysi formula noto`g`ri berilgan?

a) $$(a-b)^{2}=a^{2}-2ab-b^{2}$$

b) $$(a+b)^{2}=a^{2}+2ab+b^{2}$$

c) $$(a+b)(a-b)=a^{2}-b^{2}$$

d) $$(a+b)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3}$$

6. Haqiqiy sonlar to`plami qanday belgilanadi?

a) R

b) N

c) Q

d) Z

7. Qanday to`plamga bo`sh to`plam deyiladi?

a) Birorta ham elementga ega bo`lmagan to`plamga;

b) Elementlari soni cheksiz bo`lgan to`plamga;

c) Elementlari soni chekli bo`lgan to`plamga;

d) Sanoqli to`plamga;

8. Qanday to`plamlarga teng to`plamlar deyiladi?

a) Ayni bir xil elementlardan tashkil topgan to`plamlarga;

b) Elementlari soni aynan teng bo`lgan to`plamlarga;

c) Chekli to`plamlarga;

d) Cheksiz to`plamlarga;

9. To'g'ri munosabatni aniqlang.

a) $$A\cup A=A$$

b) $$A\cup A=2A$$

c) $$A\cup A=\emptyset$$

d) $$A\cup A=A^{2}$$

10.To'g'ri munosabatni aniqlang.

a) $$A\cap A=A$$

b) $$A\cap A=2A$$

c) $$A\cap A=\emptyset$$

d) $$A\cap A=A^{2}$$

11. To'g'ri munosabatni aniqlang.

a) $$A\cup(B\cap C)=(A\cup B)\cap(A\cup C)$$

b) $$A\cap(B\cup C)=(A\cap B)\cup(A\cup C)$$

c) $$A\cup(B\cap C)=(A\cup B)\cap C$$

d) $$A\cup(B\cap C)=B\cap(A\cup C)$$

12. To'g'ri munosabatni aniqlang.

a) $$A\cap(B\cup C)=(A\cap B)\cup(A\cap C)$$

b) $$A\cap(B\cup C)=(A\cap B)\cup(A\cup C)$$

c) $$A\cap(B\cup C)=(A\cap B)\cup C$$

d) $$A\cap(B\cup C)=B\cup(A\cap C)$$

13. Qanday to'plamga yopiq to'plam deyiladi?

a) to'plam o'zining hamma quyuqlanish nuqtalarini o'zida saqlasa, unga yopiq to'plam deyiladi.

b) to'plamning hamma nuqtalari ichki nuqtalar bo'lsa, bunday to'plamga yopiq to'plam deyiladi.

c) $$M_{0}\in V $$ nuqta o'zining har bir atrofida V to'plamga tegishli bo'lgan nuqtalar bilan kirsa,

V to'plamga yopiq to'plam deyiladi.

d) $$M_{0}\in V $$ nuqta o'zining har bir atrofida V to'plamga tegishli bo'lmagan nuqtalar bilan kirsa,

V to'plamga yopiq to'plam deyiladi.

14. Ochiq to'plam deb nimaga aytiladi?

a) to'plamning hamma nuqtalari ichki nuqtalar bo'lsa, bunday to'plamga ochiq to'plam deyiladi.

b) to'plam o'zining hamma quyuqlanish nuqtalarini o'zida saqlasa, unga ochiq to'plam deyiladi.

c) $$M_{0}\in V $$ nuqta o'zining har bir atrofida V to'plamga tegishli bo'lmagan nuqtalar

bilan kirsa, V to'plamga ochiq to'plam deyiladi.

d) To'plamning hamma nuqtalari chetki nuqtalar bo'lsa, bunday to'plamga ochiq to'plam deyiladi.

15. A va B to'plamlarning birlashmasi (yig'indisi) deb nimaga aytiladi?

a) A va B to'plamlarning birlashmasi (yig'indisi) deb uchinchi bir C to'plamga aytiladiki, bu

to'plamning istalgan elementi A to'plamga yoki B to'plamga tegishli bo'ladi va $$A\cup B$$ bilan belgilanadi.

b) A va B to'plamlarning birlashmasi (yig'indisi) deb uchinchi bir C to'plamga aytiladiki, uning har

bir elementi A to'plamga ham, B to'plamga ham tegishli bo'ladi va $$A\cup B$$ bilan belgilanadi.

c) A va B to'plamlarning birlashmasi (yig'indisi) deb uchinchi bir C to'plamga aytiladiki, uning har

bir elementi A ga tegishli bo'lsa, B ga tegishli bo'lmaydi.

d) A va B to'plamlarning birlashmasi (yig'indisi) deb uchinchi bir C to'plamga aytiladiki, uning har

bir elementi B ga tegishli bo'lsa, A ga tegishli bo'lmaydi.

16.A va B to'plamlarning kesishmasi (ko'paytmasi) deb nimaga aytiladi?

a) A va B to'plamlarning kesishmasi (ko'paytmasi) deb uchinchi bir C to'plamga aytiladiki, uning har

bir elementi A to'plamga ham B to'plamga ham tegishli bo'ladi va $$A\cap B$$ bilan belgilanadi.

b) A va B to'plamlarning kesishmasi (ko'paytmasi) deb uchinchi bir C to'plamga aytiladiki, uning

istalgan elementi A to'plamga yoki B to'plamga ham tegishli bo'ladi va $$A\cap B$$ bilan belgilanadi.

c) A va B to'plamlarning kesishmasi (ko'paytmasi) deb uchinchi bir C to'plamga aytiladiki, uning har

bir elementi A ga tegishli bo'lsa, B ga tegishli bo'lmaydi va $$A\cap B$$ bilan belgilanadi

d) A va B to'plamlarning kesishmasi (ko'paytmasi) deb uchinchi bir C to'plamga aytiladiki, uning har

bir elementi B ga tegishli bo'lsa, A ga tegishli bo'lmaydi va $$A\cap B$$ bilan belgilanadi.

17.$$A\{1,2\}$$ to'plamning hamma qism to'plamlaridan iborat bo'lgan B to'plamni toping.

a)$$B=\{\emptyset,\{1\},\{2\},\{1,2\}\}$$

b)$$B=\{\emptyset,\{2\},\{1,2\}\}$$

c)$$B=\{\{1\},\{2\},\{1,2\}\}$$

d)$$B=\{\{1\},\{2\}\}$$

18. $$A=(4,8)$$ va $$B=(1,4]$$ bo'lsa, ularning birlashmasini va kesishmasini toping.

a)$$A\cup B=(1,8), A\cap B=\emptyset$$

b)$$A\cup B=(1,8)$$

c)$$A\cap B=\emptyset$$

d)$$A\cup B=(1,8), A\cap B=[4]$$

19. $$A=(-3,7], B=[5,6]$$ bo'lsa, ularning birlashmasi va kesishmasini toping.

a)$$A\cup B=(-3;7], A\cap B=[5,6]$$

b)$$A\cup B=(-3;6], A\cap B=[5,7]$$

c)$$A\cup B=(-3;7], A\cap B=[5,7]$$

d)$$A\cup B=(-3;5], A\cap B=[5,6]$$

20.Barcha juft sonlar to'plamini ko'rsating.

a) $$A=\{x: x=2n, n\in N\}$$

b) $$A=\{x: x=2n-1, n\in N\}$$

c) $$A=\{x: x=2n+1, n\in N\}$$

d) $$A=\{0,2,4,6,8,10,...\}$$

21. Barcha toq sonlar to'plamini ko'rsating.

a) $$A=\{x: x=2n-1, n\in N\}$$

b) $$A=\{x: x=2n, n\in N\}$$

c) $$A=\{x: x=2n+1, n\in N\}$$

d) $$A=\{-1,1,3,5,7,9,...\}$$

22. Barcha juft va toq sonlar to'plamlari uchun $$A\cup B$$ topilsin.

a) $$A\cup B=\{1,2,3,4,5,6,...\}$$

b) $$A\cup B=\{1,2,3,4,5,6\}$$

c) $$A\cup B=\{\emptyset\}$$

d) $$A\cup B=\{b: b=n, n\in Z\}$$

23.Barcha juft va toq sonlar to'plamlari uchun $$A\cap B$$ topilsin.

a) $$A\cap B=\{\emptyset\}$$

b) $$A\cap B=\{1,2,3,4,5,6,...\}$$

c) $$A\cap B=\{{b: b=2n+1, n\in N}$$

d) $$A\cap B=\{b: b=n, n\in N\}$$

24. Tomonining uzunligi 2 ga teng bo'lgan muntazam ko'pburchaklar perimetrlari to'plami yozilsin.

a)$$P=\{8, 10, 12, 14, 16,...\}$$

b)$$P=\{10, 12, 14, 16,...\}$$

c)$$P=\{6, 8, 10, 12, 14, 16,...\}$$

d)$$P=\{12, 14, 16, 18,...\}$$

25. Birinchi tikuvchilik fabrikasida bolalar ko'ylagi, kostyum va kurtka tikiladi. Ikkinchi tikuvchilik fabrikasida esa ayollar ko'ylagi va kostyum tikiladi. Bu fabrikalarda tikilayotgan kiyimlar to'plamlari tuzilsin va ular uchun $$A\cup B$$ topilsin.

a)$$A\cup B=\{bolalar ko'ylagi, kostyum, kurtka, ayollar ko'ylagi\}$$

b)$$A\cup B=\{kostyum\}$$

c)$$A\cup B=\{bolalar ko'ylagi, ayollar ko'ylagi\}$$

d)$$A\cup B=\{ko'ylak, kostyum\}$$

26.Birinchi tikuvchilik fabrikasida bolalar ko'ylagi, kostyum va kurtka tikiladi. Ikkinchi tikuvchilik fabrikasida esa ayollar ko'ylagi va kostyum tikiladi. Bu fabrikalarda tikilayotgan kiyimlar to'plamlari tuzilsin va ular uchun $$A\cap B$$ topilsin.

a)$$A\cap B=\{kostyum\}$$

b)$$A\cap B=\{bolalar ko'ylagi, kostyum, kurtka, ayollar ko'ylagi\}$$

c)$$A\cap B=\{bolalar ko'ylagi, ayollar ko'ylagi\}$$

d)$$A\cap B=\{\emptyset\}$$

27. $$\frac{(x^{2}-1)(x^{2}-4)}{(x+3)}=0$$ tenglama ildizlari to'plami tuzilsin.

a)$$X=(-2; -1; 1; 2)$$

b)$$X=(-3; -2; -1; 1; 2)$$

c)$$X=(1; 2)$$

d)$$X=(1; 2)$$

28.$$(x-2)(x-3)(x^{2}+5)=0$$ tenglama ildizlari to'plami yozilsin.

a)$$X=(2;3)$$

b)$$X=(2;3;-\sqrt{5};\sqrt{5})$$

c)$$X=(2;-3)$$

d)$$X=(-2;3)$$

29.$$A=(2, 4, 6, 8, 10)$$ va $$B=(1, 2, 3, 4, 5)$$ to'plamlar berilgan $$A\cup B$$ topilsin.

a)$$A\cup B=(1, 2, 3, 4, 5, 6, 8, 10)$$

b)$$A\cup B=(2, 4)$$

c)$$A\cup B=(6, 8, 10)$$

d)$$A\cup B=(1, 3, 5)$$

30. $$A=(2, 4, 6, 8, 10)$$ va $$B=(1, 2, 3, 4, 5)$$ to'plamlar berilgan $$A\cap B$$ topilsin.

a) $$A\cap B=(2, 4)$$

b) $$A\cap B=(1, 2, 3, 4, 5, 6, 8, 10)$$

c) $$A\cap B=(6, 8, 10)$$

d) $$A\cap B=(1, 3, 5)$$

31.$$\frac{(x-1)(x^{2}-3)(x^{2}-4)}{(x-2)}=0 $$ tenglama ildizlari to'plami yozilsin.

a)$$X=(-2; -\sqrt{3}; 1;\sqrt{3})$$

b)$$X=(-2; 1; 2)$$

c)$$X=(1; 2)$$

d)$$X=(-2; -\sqrt{3}; 1;\sqrt{3}; 2)$$

32. $$A=[-3; 0]$$ va $$B=(-1; 5]$$ to'plamlar birlashmasi yozilsin.

a)$$A\cup B=[-3; 5]$$

b)$$A\cup B=(-3; -1; 0; 5)$$

c)$$A\cup B=(-3; -2; 0; 1; 2; 3; 4 ;5)$$

d)$$A\cup B=(-3; 5)$$

33. $$A=\{n-3, n-2, n-1, n, n+1\}$$ va $$B=\{n-1, n+1, n+2, n+3, n+4\}$$ to'plamlar uchun $$A\cup B$$ ni toping.

a)$$A\cup B=\{n-3, n-2, n-1, n, n+1, n+2, n+3, n+4\}$$

b)$$A\cup B=\{n-1, n+1\}$$

c)$$A\cup B=\{n-3, n-2, n\}$$

d)$$A\cup B=\{n+2, n+3, n+4\}$$

34. $$A=\{n-3, n-2, n-1, n, n+1\}$$ va $$B=\{n-1, n+1, n+2, n+3, n+4\}$$ to'plamlar uchun $$A\cap B$$ ni toping.

a) $$A\cap B=\{n-1, n+1\}$$

b) $$A\cap B=\{n-3, n-2, n-1, n, n+1, n+2, n+3, n+4\}$$

c) $$A\cap B=\{n-3, n-2, n\}$$

d) $$A\cap B=\{n+2, n+3, n+4\}$$

35.$$A=\{n-3, n-2, n-1, n, n+1\}$$ va $$B=\{n-1, n+1, n+2, n+3, n+4\}$$ to'plamlar uchun $$A\backslash B$$ ni toping.

a) $$A\backslash B=\{n-3, n-2, n\}$$

b) $$A\backslash B=\{n-3, n-2, n-1, n, n+1, n+2, n+3, n+4\}$$

c) $$A\backslash B=\{n-1, n+1\}$$

d) $$A\backslash B=\{n+2, n+3, n+4\}$$

36.$$A=\{n-3, n-2, n-1, n, n+1\}$$ va $$B=\{n-1, n+1, n+2, n+3, n+4\}$$ to'plamlar uchun $$B\backslash A$$ ni toping.

a) $$A\backslash B=\{n+2, n+3, n+4\}$$

b) $$A\backslash B=\{n-3, n-2, n-1, n, n+1, n+2, n+3, n+4\}$$

c) $$A\backslash B=\{n-1, n+1\}$$

d) $$A\backslash B=\{n-3, n-2, n\}$$

37. O'zbekiston Respublikasi mustaqillikka erishgan yil raqamlari to'plamini yozing.

a)$$M=(1, 9)$$

b)$$M=(1, 1, 9, 9)$$

c)$$M=(1991)$$

d)$$M=(0, 1, 3, 8, 9)$$

38. $$A=\{10, 12\frac{3}{4}, 17.3, -7, 136\}$$ to'plam berilgan. Qaysi natural sonlar bu to'plamga tegishli?

a)10 va 136

b)$$12\frac{3}{4}$$ va 17.3

c)-7

d)10, -7, 136

39. A to'plam -5; -4; -3; -2; 6 elementlardan tuzilgan. Shu sonlarga qarama-qarshi bo'lgan sonlar to'plamini yozing.

a)$$-A=(-6, 2, 3, 4, 5)$$

b)$$-A=(2, 3, 4, 5)$$

c)bunday to'plam mavjud emas.

d)$$-A=(-6, -2, -3, -4, -5)$$

40. $$x^{2}-6x+10=0$$ tenglama ildizlari to'plamini yozing

a)$$X=\emptyset$$

b)$$x=\emptyset$$

c)$$X=(2; 5)$$

d)$$X=(2;3)$$

41. $$A=\{3, 6, 9, 12, 15\}$$ ning barcha qism to'plamlari soni nechta?

a)32

b)16

c)64

d)8

42.$$A=\{2, 3, 4, 5, 7\}; B=\{3, 5, 7, 9\}; C=\{4, 9, 11\}$$ to'plamlar uchun $$A\cup(B\cup C)$$ topilsin.

a)$$A\cup(B\cup C)=\{2, 3, 4, 5, 7, 9, 11\}$$

b)$$A\cup(B\cup C)=\{3, 4, 5, 7\}$$

c)$$A\cup(B\cup C)=\{3\}$$

d)$$A\cup(B\cup C)=\{3, 4,5, 7, 9, 11\}$$

43. $$A=\{2, 3, 4, 5, 7\}; B=\{3, 5, 7, 9\}; C=\{4, 9, 11\}$$to'plamlar uchun $$B\cup(A\cup C)$$ topilsin.

a)$$B\cup(A\cup C)=\{2, 3, 4, 5, 7, 9, 11\}$$

b)$$B\cup(A\cup C)=\{3, 4, 5, 7\}$$

c)$$B\cup(A\cup C)=\{3\}$$

d)$$B\cup(A\cup C)=\{3, 4,5, 7, 9, 11\}$$

44. $$A=\{2, 3, 4, 5, 7\}; B=\{3, 5, 7, 9\}; C=\{4, 9, 11\}$$to'plamlar uchun $$A\cap(B\cup C)$$ topilsin.

a)$$A\cap(B\cup C)=\{3, 4, 5, 7\}$$

b)$$A\cap(B\cup C)=\{2, 3, 4, 5, 7, 9, 11\}$$

c)$$A\cap(B\cup C)=\{3\}$$

d)$$A\cap(B\cup C)=\{3, 4,5, 7, 9, 11\}$$

45.30 o'quvchidan 18 tasi matematikaga, 17 tasi esa fizikaga qiziqadi. Ikkala fanga ham qiziqadigan o'quvchilar soni nechta bo'lishi mumkin?

a)5

b)17

c)18

d)10

46. $$K=(x, y, z, k)$$ to'plamning qism to'plari nechta?

a)16

b)8

c)32

d)64

47.Ushbu $$A=\{1, 2, 3, 4, 5\}; B=\{2, 4, 6,\}$$ to'plamlarning birlashmasini toping.

a) $$C=A\cup B=\{1, 2, 3, 4, 5, 6\}$$

b) $$C=A\cap B=\{2, 4\}$$

c) $$C=A\cup B=\{\oslash\}$$

d) $$C=A\cup B=\{1, 3, 5,\}$$

48.Ushbu $$A=\{1, 2, 3, 4, 5\}; B=\{2, 4, 6,\}$$ to'plamlarning kesishmasini toping.

a) $$C=A\cap B=\{2, 4\}$$

b) $$C=A\cap B=\{\oslash\}$$

c) $$C=A\cup B=\{1, 3, 5,\}$$

d) $$C=A\cup B=\{1, 2, 3, 4, 5, 6\}$$

49.Ushbu $$A=\{1, 2, 3, 4, 5\}; B=\{2, 4, 6,\}$$ to'plamlarning ayirmasini toping.

a) $$A\setminus B=\{1, 3, 5,\}$$

b) $$A\setminus B=\{1, 2, 3, 4, 5, 6\}$$

c) $$A\setminus B=\{2, 4\}$$

d) $$A\setminus B=\{\oslash\}$$

50. Faqat butun sonlarni aniqlaydigan to`plamni ko`rsating

a) $$\{x\in N:x^{2}-3x=0\}$$

b) $$\{x\in N:|x+\frac{2}{x^{3}}=0\}$$

c) $$\{x\in N:x^{2}+3\sqrt{x-7}=0\}$$

d) $$\{x\in N:x^{2}-\frac{3x}{7x+4}=0\}$$

51. $$A=\{a, b. c, d, e, f\} va B=\{b, d, e, g, h\}$$ to`plamlarning kesishmasi $$A\cap B$$ ni toping.

a) $$A\cap B=\{b, d, e\}$$

b) $$A\cap B=\{b, d, e, f\}$$

c) $$A\cap B=\{b, d, e, g\}$$

d) $$A\cap B=\{a, b, c, d, e, f, g, h\}$$

52. $$A=\{x:-\frac{2}{3}\leq x\leq \frac{7}{4}\}$$ va $$B=\{x:-\frac{1}{4}\leq x\leq 2\}$$ to`plamlarning kesishmasini toping.

a) $$\{x:-\frac{1}{4}\leq x\leq \frac{7}{4}\}$$

b) $$\{x:-\frac{1}{4}\leq x\leq 2\}$$

c) $$\{x:-\frac{2}{3}\leq x\leq \frac{7}{4}\}$$

d) $$\{x:-\frac{2}{3}\leq x\leq \frac{1}{4}\}$$

53. $$A=\{x:-\frac{2}{3}\leq x\leq \frac{7}{4}\}$$ va $$B=\{x:-\frac{1}{4}\leq x\leq 2\}$$ to`plamlarning birlashmasini toping.

a) $$\{x:-\frac{2}{3}\leq x\leq 2\}$$

b) $$\{x:-\frac{2}{3}\leq x\leq -\frac{1}{4}\}$$

c) $$\{x:-\frac{1}{4}\leq x\leq 2\}$$

d) $$\{x:-\frac{1}{4}\leq x\leq \frac{7}{4}\}$$

54. $$A=\{x:-\frac{2}{3}\leq x\leq \frac{7}{4}\}$$ va $$B=\{x:-\frac{1}{4}\leq x\leq 2\}$$ to`plamlar berilgan. $$A\setminus B $$toping.

a) $$\{x:-\frac{2}{3}\leq x\leq -\frac{1}{4}\}$$

b) $$\{x:-\frac{2}{3}\leq x\leq 2\}$$

c) $$\{x:-\frac{1}{4}\leq x\leq 2\}$$

d) $$\{x:-\frac{1}{4}\leq x\leq \frac{7}{4}\}$$

55. $$A=\{2, 3, 5, 7, 9, 11\}$$ va $$B=\{1, 3, 4, 7, 9\}$$ to`plamlarning kesishmasini toping

a) $$A\cap B=\{3, 7, 9\}$$

b) $$A\cap B=\{1, 3, 7, 9\}$$

c) $$A\cap B=\{2, 11\}$$

d) $$A\cap B=\{3, 7, 9, 11\}$$

56. $$A=\{x:-1\leq x\leq \frac{7}{4}\}$$ va $$B=\{x:-\frac{1}{4}\leq x\leq 3\}$$ to`plamlarning kesishmasini toping.

a) $$\{x:-\frac{1}{4}\leq x\leq \frac{7}{4}\}$$

b) $$\{x:-\frac{1}{4}\leq x\leq 3\}$$

c) $$\{x:-1\leq x\leq \frac{7}{4}\}$$

d) $$\{x:-1\leq x\leq -\frac{1}{4}\}$$

57. $$A=\{x:-2\leq x\leq \frac{7}{4}\}$$ va $$B=\{x:-\frac{1}{4}\leq x\leq 3\}$$ to`plamlarning birlashmasini toping.

a) $$\{x:-2\leq x\leq 3\}$$

b) $$\{x:-\frac{2}{3}\leq x\leq -\frac{1}{4}\}$$

c) $$\{x:-\frac{1}{4}\leq x\leq 2\}$$

d) $$\{x:-\frac{1}{4}\leq x\leq \frac{7}{4}\}$$

58. Elementlar soni…… bo'lgan to'plamga chekli to'plam deyiladi.

a) chekli

b ) cheksiz

c) to'rtta

d) barchasi

59. Quyidagi jumlalardan qaysi biri A va B to'plamlarning birlashmasini ko'rsatadi:

a) $$A\cup B$$

b) $$A\cap B$$

c) $$A\setminus B$$

d) $$A\bigtriangleup B$$

60. Quyidagi jumlalardan qaysi biri A va B to'plamlarning kesishmasini ko'rsatadi:

a) $$A\cap B$$

b) $$A\cup B$$

c) $$A\setminus B$$

d) $$A\bigtriangleup B$$

61. Quyidagi jumlalardan qaysi biri A va B to'plamlarning simmetrik ayrimasini ko'rsatadi:

a) $$A\bigtriangleup B$$

b) $$A\cup B$$

c) $$A\cap B$$

d) $$A\setminus B$$

62. Quyidagi jumlalardan qaysi biri A va B to'plamlarning ayrimasini ko'rsatadi:

a) $$A\setminus B$$

b) $$A\bigtriangleup B$$

c) $$A\cap B$$

d) $$A\cup B$$

63. Ikki to'plamning birlashmasiuchun quyidagi hossalardan qaysi biri o'rinli:$$1.A\cup\oslash=A; 2.\oslash \cup \oslash=\oslash; 3.A\subseteq B \longrightarrow A\cup B=B; 4.A\subseteq B \longrightarrow A\cup B=A$$ bu yerda $$\oslash$$-bo'sh to'plam.

a) 1,2,3

b) 1

c) 4

d) 2,4

64. Ikki to'plamning kesishmasi uchun quyidagi hossalardan qaysi biri o'rinli:$$1.\oslash \cap\ A=\oslash; 2.\oslash \cap \oslash=\oslash; 3.A\subseteq B \longrightarrow A\cap B=A; 4.A\subseteq B \longrightarrow A\cap B=B$$ bu yerda $$\oslash$$-bo'sh to'plam.

a) 1,2,3

b) 1

c) 4

d) 2,4

65. Ikki to'plamning ayrimasi uchun quyidagi hossalardan qaysi biri o'rinli:$$1.\oslash \setminus A=\oslash; 2.A \setminus \oslash=A; 3.A\subseteq B \longrightarrow A\setminus B=\oslash; 4.A\subseteq B \longrightarrow A\setminus B=B$$ bu yerda $$\oslash$$-bo'sh to'plam.

a) 1,2,3

b) 1

c) 4

d) 2,4

66. Ikki to'plamning simmetrik ayrimasi uchun quyidagilardan qaysi biri o'rinli:$$1.A\bigtriangleup \oslash=A; 2.\oslash \bigtriangleup A=A; 3.A\subseteq B \longrightarrow A\bigtriangleup B=B; 4.A\subseteq B \longrightarrow A\bigtriangleup B=A$$ bu yerda $$\oslash$$-bo'sh to'plam.

a) 1,2,3

b) 1

c) 4

d) 2,4

67. Agar … bo'lib $$R=B\setminus A$$ bo'lsa, u holda R ga A to'plamni B gacha to'ldiruvchi to'plam deyiladi:

a) $$A\subseteq B$$

b) $$A\subset B$$

c) $$A = B$$

d) $$A\supseteq B$$

68. Agar A va B to'plamlarning elementlari soni, mos ravishda [A] va [B] bilan belgilansa, u holda $$A\cup B$$ uchun quyidagilardan qaysi biri o’rinli?

a) $$[A\cup B]=[A]+[B]-[A\cap B]$$

b) $$[A\cup B]=[A]+[B]+\{A\cap B]$$

c) $$[A\cup B]=[A]+[B]-2[A\cap B]$$

d) $$[A\cup B]=[A]+[B]+2[A\cap B]$$

69. Agar A va B to'plamlarning elementlari soni, mos ravishda [A] va [B] bilan belgilansa, u holda $$A\cap B$$ uchun quyidagilardan qaysi biri o’rinli?

a) $$[A\cap B]=[A]+[B]-[A\cup B]$$

b) $$[A\cap B]=[A]+[B]+\{A\cup B]$$

c) $$[A\cap B]=[A]+[B]-2[A\cup B]$$

d) $$[A\cap B]=[A]+[B]+2[A\cup B]$$

70. Agar A va B to'plamlarning elementlari soni, mos ravishda [A] va [B] bilan belgilansa, u holda $$A\setminus B$$ uchun quyidagilardan qaysi biri o’rinli?

a) $$[A\setminus B]=[A]+[B]-[A\cap B]$$

b) $$[A\setminus B]=[A]+[B]$$

c) $$[A\setminus B]=[A\cup B]$$

d) $$[A\setminus B]=[A]-[B]$$

71. Agar A va B to'plamlarning elementlari soni, mos ravishda [A] va [B] bilan belgilansa, u holda $$A\bigtriangleup B$$ uchun quyidagilardan qaysi biri o’rinli?

a) $$[A\bigtriangleup B]=[A]+[B]-2[A\cap B]$$

b) $$[A\bigtriangleup B]=[A]+[B]$$

c) $$[A\bigtriangleup B]=[A\cup B]$$

d) $$[A\bigtriangleup B]=[A]-[B]$$