1.(97-7-2)Quyidagi sonlardan qaysilari 18 ga qoldiqsiz bo’linadi?

1.(97-7-2)Quyidagi sonlardan qaysilari 18 ga qoldiqsiz bo’linadi?
x = 10842, y = 5,49·104, z = 306198
A) faqat x B) faqat y C) x va y D) faqat z E) y va z
2. (98-3-3)Berilganp = 1018978560, q = 8976119441 va r = 987610734 sonlardan qaysilari 16 gaqoldiqsiz bo’linadi?
A) Hech qaysi B) p C) q D) r E) p va q
3. (01-2-2) n ning qanday eng kichik natural qiymatida 2ⁿ +1 soni 33 ga qoldiqsiz bo’linadi?
A) 7 B) 3 C)6 D) 4 E) 5
4. (01-11-2)Quyidagi sonlardan qaysi biri 45 ga qoldiqsiz bo’linadi?
A) 42·85 B) 35·61 C) 80·123 D) 36·20 E) 143·30
5. (98-11-57) 9¹⁰ ni 7 ga bo’lgandagi qoldiqni toping.
A) 1 B) 3 C) 2 D) 6 E) 4
6. (01-6-2) Barcha uch xonali sonlar ichida 45 ga qoldiqsiz bo’linadiganlari nechta? A) 19 B) 20 C) 18 D) 21 E) 17
7. (03-4-5) Nechta ikki xonali son 15 ga qoldiqsiz bo’linadi?
A) 4 B) 5 C) 7 D) 6 E) 8
8. 99-8-8) Oxirgi raqami 3 ga teng bo’lgan 13 ta ko’paytuvchining ko’paytmasi qanday raqam bilan tugaydi.
A) 3 B) 1 C) 9 D) 7 E) 6
9. (00-3-8) Ayirmaning oxirgi raqamini toping. 1·2·3·4·...·26·27−1·3·5·7·...·25·27
A) 4 B) 3 C) 5 D) 6 E) 8
10. (99-3-2)* Hisoblang. 1−3+5−7+9−11+...+97−99
A) -46 B) -48 C) -50 D) -52 E) -54
11. (98-7-9) Hisoblang
A) 1 B) C) D) E)
12. (x; y) sonlar juftligi sistemaning yechimi bo`lsa, ni toping
A) 0 B) 1 C) 2 D) -1
13. ni soddalashtiring.
A) B) C) D) E)
14. . (96-9-20) Tenglama nechta ildizga ega? |x+2|+|x|+|x−2|= 4
A) ildizi yo’q B) cheksiz ko’p C) 1 D) 2 E) 4
15. (03-6-16) |x−4|>|x+4| tengsizlikni yeching?
A) (−4;4) B) (0;4)∪(4;∞) C) (−4;∞) D) (−∞;−4)∪(−4;0) E) (−∞;0)
16. (99-7-23) Agar x² +2x+1 = 0 tenglamaning ildizlari x₁ va x₂ bo’lsa, x₁³ −x₂³ ni hisoblang.
A) 1 B) 3 C) 4 D) 0 E) -2
17. (97-3-15) Tenglamaning ildizlari yig’indisini toping. x⁴ −17x² +16 = 0
A) 17 B) 0 C) −16 D) −17 E) 4
18. (00-3-11) k ning qanday qiymatida k(k +6)x = k +7(x+1)
tenglama yechimga ega bo’lmaydi?
A) 1 va 7 B) 1 C) 7 D) 1 va −7 E) −7
19. (99-8-21) Tenglama a ning qanday qiymatida yechimga ega emas?
6x−a−6 = (a+2)(x+2)
A) 4 B) 2 C) −2 D) 6 E) −6
20. (97-2-24) Tenlamaning ildizi 0 ga teng bo’ladigan m ning barcha qiymatlari ko’paytmasini toping. x² −9x+(m² −4)(m² −9) = 0
A) 36 B) 4√3 C) −6 D) 6 E) 6√3
21. (98-7-34) m ning qanday qiymatlarida 4x² −(√3m−3)x−9 = 0 tenglamaningildizlariqarama-qarshisonlarbo’ladi?
A) 1,5 va −1,5 B) √3 va −√3 C) 1,5 D) √3 E) 0
22. (01-12-25) a ning qanday qiymatida x² +(a+2)x+a = 3 tenglama ildizlari kvadratlarining yig’indisi eng kichik bo’ladi?
A) 0 B) −1 C) 1 D) 3 E) −2
23. (03-7-78) m ning qanday qiymatlarida 4x2 −(3+2m)x+2 = 0 tenglamaningildizlaridanbiriikkinchisidansakkiz marta kichik bo’ladi?
A) 3 B) −6 C) −6;3 D) 3;5 E) −6;−3
24.(97-8-22) Tengsizlikning eng katta va eng kichik butun yechimlari ayirmasini toping
A) 6 B) 4 C)5 D)2 E) 3
25. (98-2-13) Ushbu x⁵ −16x > 0 tengsizlikning eng kichik butun musbat va eng kattabutunmanfiyyechimlariko’paytmasinitoping.
A) −5 B) −4 C) −6 D) −2 E) −3
26.(02-5-39) Nehcta tub son funksiyaning aniqlanish sohasiga tegishli?
A) 1 B) 2 C) 3 D) 4 E) cheksiz ko’p
27. 97-1-10) Tengsizlikni yeching. (x−2)² +3(x−2)≥7−x
A) [0;1]∪[3;∞) B) [−2;1] C) [−3;3] D) [3;∞) E) (−∞;−3]∪[3;∞)
28. (01-2-68) Ushbu (x² −x−1)(x² −x−7)≤−5 tengsizlikning eng katta butun va eng kichik butun ildizlari ayirmasini toping.
A) 2 B) 3 C) 4 D) 5 E) 6
29. (01-11-10) p ning nechta natural qiymatida x² +px+16 = 0 tenglama haqiqiy ildizga ega emas?
A) 8 B) 14 C) 7 D) 15 E) 9
30. (98-8-8) a ning qanday qiymatlarida |a+2|=−a−2 tenglik o’rinli bo’ladi?
A) a =−2 B) Aе ∅ C) a <−2 D) a≤−2 E) a =−3