Free Printable Matematik mantiq

1.

Berilgan: U={0,1,2,3,4,5,6,7,8,9}, A={1,2,3}, B={2,3,4,5}, A\B ni to'ldiruvchisini toping

a)

{0,1,2,3,4,5}

b)

{6,7,8,9}

c)

{0,2,3,4,5,6,7,8,9}

d)

{1,2,3,4,5}

2.

A va B bo'sh bo'lmagan to'plamlar bo'lsin A $\subset$ B u holda quyidagilardan qaysi bo'sh to'plam bo'ladi?

a)

A\B

b)

A $\cup$ B

c)

A $\cap$ B

d)

A $\cup\overline{B}$

3.

Berilgan mulohazani formula ko'rinishida ifodalang: "Agar harorat noldan yuqori bo'lsa , unda muz eriydi va daraxt bo'lagi suzadi"

a)

$A\rightarrow B$

b)

A $\wedge$ B

c)

$A\leftrightarrow B$

d)

$A\rightarrow\left(B\wedge C\right)$

4.

Berilgan mulohazani formula ko'rinishida ifodalang:"Son juft bo'ladi faqat va faqat shunda , qachonki u ikkiga bo'linsa"

a)

$A\leftrightarrow B$

b)

A $\rightarrow$ B

c)

$A\wedge B$

d)

$\overline{A}\ \wedge B\$

5.

Berilgan mulohazani formula ko'rinishida ifodalang:"Agar talaba bilet javoblarini bilsa va qo'shimcha savollarga javob bersa , unda u besh baho oladi."

a)

$\left(A\wedge B\right)\rightarrow C$

b)

$\left(\overline{A}\ \wedge B\right)\rightarrow C$

c)

$A\rightarrow\left(B\wedge\overline{C}\right)$

d)

$A\leftrightarrow B$

6.

Quyidagi belgilar ketma-ketliklarining qaysi biri formula bo'ladi?

a)

$\left(\left(B\rightarrow\left(A\wedge C\right)\right)\wedge\overline{\left(A\vee C\right)}\right)$

b)

$\left(A\rightarrow\vee\left(B\wedge C\right)\right)$

c)

$\left(\left(\overline{A}\ \vee C\right)\wedge A,D\right)$

d)

$\left(A\rightarrow B\right)\vee\rightarrow C$

7.

Quyidagi belgilar ketma-ketliklarining qaysi biri formula bo'lmaydi?

a)

$\left(\left(\rightarrow B\vee C\right)\wedge A,D\right)$

b)

$\left(A\leftrightarrow B\right)\wedge\overline{A}$

c)

$\left(B\wedge C\right)\wedge\left(A\vee D\right)$

d)

$\left(A\rightarrow B\right)\wedge C$

8.

$\left(1\rightarrow x\right)\rightarrow y=0$ tenglamani yeching

a)

$\left(1,1\right)$

b)

(0,1)

c)

(0,0)

d)

(1,0)

9.

Qaysi funksiya bilan x*y funksiya ustma-ust tushadi?

a)

$\overline{x\vee y}$

b)

$x\vee\overline{y}$

c)

$\overline{x\ }\ \vee y$

d)

$\overline{x}\ \vee\overline{y}$

10.

$x\vee y=\overline{x}$ tenglamani yeching

a)

(0,1)

b)

(0,0)

c)

(1,0)

d)

(1,1)

11.

Bul funksiyalardan qaysi biri YOKI-EMAS amllari yordamida berilgan?

a)

$\overline{x\wedge y}\ \vee\left(\overline{y}\ \wedge t\right)$

b)

$\left(x\vee y\right)\wedge\left(x\vee\overline{y}\right)$

c)

$\left(x\wedge y\right)+1$

d)

$\overline{x\vee y}\ \vee\left(\overline{y}\ \vee t\right)$

12.

Quyidagi funksiyalardan qaysi biri $x\rightarrow y$ funksiyaga qo'shma bo'ladi?

a)

$\overline{x}y$

b)

$x\overline{y}$

c)

$x\vee y$

d)

$x\wedge y$

13.

Quyidagi funksiyalardan qaysi biri $\overline{x}\vee\overline{y}$ funksiyaga qo'shma bo'ladi?

a)

$\overline{x}\ \overline{y}$

b)

xy

c)

$x\vee y$

d)

$x\vee\overline{y}$

14.

Qaysi to'plamda nolni saqlovchi funksiyalar to'g'ri ko'rsatilgan?

a)

$x,y,x+y,\overline{x}+1$

b)

$x\vee y,x\rightarrow y$

c)

$xy,x\leftrightarrow y$

d)

$\overline{x}+y,\overline{y}\ +x,x+y$

15.

Qaysi to'plamda birni saqlovchi funksiyalar to'g'ri ko'rsatilgan?

a)

$x,y,\overline{x+y},\overline{x}+1$

b)

$x+y,x,y$

c)

$\overline{x}\ \overline{y},x\rightarrow y$

d)

$x+\overline{y},x,y$

16.

Qaysi to'plamda monoton funksiyalar to'g'ri ko'rsatilgan?

a)

$x+y,\overline{x}$

b)

$x,x\leftrightarrow y$

c)

$\overline{x},x\rightarrow y$

d)

$x\wedge y,x\vee y,$

17.

Qaysi to'plamda chiziqli funksiyalar to'g'ri ko'rsatilgan?

a)

$xy,x\leftrightarrow y,x+y$

b)

$\overline{x}\ ,x\rightarrow y$

c)

$xy,x\vee y$

d)

$x+y,\overline{x+y},\ \overline{x\leftrightarrow y},\ \overline{x}$

18.

Qaysi funksiya bilan $x\rightarrow y$ funksiya ustma-ust tushadi?

a)

xy

b)

xy+1

c)

xy+x+1

d)

xy+x

19.

Qaysi funksiya bilan x+y funksiya ustma-ust tushadi?

a)

$\overline{x\leftrightarrow y}$

b)

$x\rightarrow y$

c)

x+y+1

d)

$\overline{x}\ \vee y$

20.

Quyidagi qaysi tenglik munosabati o'rinli?

a)

$x\vee y=\left(x+1\right)\left(y+1\right)+1$

b)

$x\vee y=x\cdot\overline{y}$

c)

$x\vee y=x\rightarrow y$

d)

$x\vee y=\overline{x}+\overline{y}$

21.

Qaysi funksiya $x\leftrightarrow y$ funksiyaga teng?

a)

$\overline{x+y}$

b)

$x\vee\overline{y}$

c)

$\overline{x\vee y}$

d)

$x\vee y$

22.

Mulohazalar hisobining 2-guruh aksiomalariga kirmagan formulani toping.

a)

$x\wedge y\rightarrow x$

b)

$x\wedge y\rightarrow y$

c)

$\left(z\rightarrow x\right)\rightarrow\left(\left(z\rightarrow y\right)\rightarrow\left(z\wedge x\wedge y\right)\right)$

d)

$\left(z\rightarrow x\right)\rightarrow\left(\left(z\rightarrow y\right)\rightarrow\left(z\rightarrow x\wedge y\right)\right)$

23.

Mulohazalar hisobining 3-guruh aksiomalariga kirmagan formulani toping.

a)

$y\rightarrow x\vee y$

b)

$x\wedge y\rightarrow y$

c)

$\left(x\rightarrow z\right)\rightarrow\left(\left(y\rightarrow z\right)\rightarrow\left(x\vee y\rightarrow z\right)\right)$

d)

$x\rightarrow x\vee y$

24.

Berilgan formula mulohazalar hisobining formulasi bo'ladi $\left(\left(x\vee y\right)\vee\left(xy\right)\right)\rightarrow\overline{z}$

a)

ROST

b)

YOLG'ON

25.

Nomonoton funksiyalar qaysi qatorda berilgan?

a)

$0,1,x,xy$

b)

0,1,x,xy,x+y

c)

$\overline{x}\ ,x\rightarrow y,x\leftrightarrow y,x+y$

d)

$x\rightarrow y,x+y.\ x\leftrightarrow y,x\vee y$

26.

Quyidagi bul funksiyalardan qaysi biri o'z-o'ziga ikki taraflama funksiya hisoblanadi?

a)

$xy+xz+yz+y+z$

b)

$x\rightarrow y$

c)

$x\vee y$

d)

$x\leftrightarrow y$

27.

Berilgan bul funksiyasiga ikki taraflama funksiyasini toping

$xyz+xy+z$

a)

xyz

b)

xy+z

c)

xyz+xz+yz

d)

xyz+xz+yz+xy

28.

$f\left(x,y\right)=x\rightarrow y$ ga ikki taraflama funksiya qaysi bandda keltirilgan?

a)

$\overline{x\rightarrow y}$

b)

$\overline{y\rightarrow x}$

c)

$\overline{x}\vee y$

d)

$\overline{y}\vee x$

29.

Quyidagi ifodalar ichidan predikatni aniqlang.

a)

$x^2+2x+4$

b)

x 5 ga bo'linadi

$x\in N$

c)

$x^3-1$

d)

$tg45^0=-1$

30.

Kvantorlar qaysi qatorda berilgan?

a)

$\leftarrow,\leftrightarrow,\rightarrow.\wedge$

b)

$\alpha,\beta,\gamma\leftrightarrow$

c)

$\forall,\exists$

d)

$\vee,\wedge,\in,\forall,\exists$

31.

Bo'sh bo'lmagan M to'plam berilgan bo'lsin.P:M $\rightarrow$ {0,1}, n=0,1,..... ko'rinishidagi har qanday funksiya .................. deyiladi.

jumlani to'ldiring

(a)

32.

n ta o'zgaruvchi uchun qiymatlar satrlarining soni qaysi qatorda berilgan?

a)

$2^{n^n-1}$

b)

$2^n$

c)

$2^{2^n}$

d)

$2^{2^n-1}$

33.

n ta o'zgaruvchi uchun bul funksiyalar soni .... ga teng.

a)

$2^2$

b)

$2^{2^{2^n}}$

c)

$2^{2^n}$

d)

$2^{n^2}$

34.

Berilgan bul funksiyasi o'z-o'ziga ikki taraflama funksiya

xy+xz+yz

a)

rost

b)

yolg'on

35.

Berilgan bul funksiyasi o'z-o'ziga ikki taraflama funksiya

$xy\overline{z}\vee x\overline{y}z\vee\overline{x}yz\vee xyz$

a)

ROST

b)

YOLG'ON

36.

Berilgan bul funksiyasi o'z-o'ziga ikki taraflama funksiya

$xy\overline{z}\vee x\overline{yz}\vee\overline{x}y\overline{z}\vee\overline{x}\overline{yz}$

a)

ROST

b)

YOLG'ON

37.

Berilgan funksiyasi chiziqli funksiya

$x'y'z'\vee x'y'z\vee x'yz\vee xyz'$

a)

ROST

b)

YOLG'ON

38.

Berilgan funksiyasi chiziqli funksiya

$x'y'z'\vee x'yz'\vee xyz'\vee xyz$

a)

rost

b)

yolg'on

39.

Berilgan funksiyasi chiziqli funksiya

$\left(yz'+x\right)\rightarrow\left(x\leftrightarrow xy'\right)'$

a)

rost

b)

yolg'on

40.

Berilgan funksiyasi monoton bul funksiyasi

xyz+xy+xz+yz+x+y+z

a)

rost

b)

yolg'on

Matematik mantiq

Total questions: 40

Worksheet time: 42mins

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