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2
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7
8
©
200 dan katta eng kichik tub sonning
raqamlar yig’indisini toping.
A)4
B)5
C)7
D)9
Agar a eng katta ikki xonali tub son bo’lsa,
a + 1 ni tub ko’paytuvchilarga ajrating.
A)22 · 52
B)2 · 72
C)2 · 47
D)22 · 23
41 37 61
+ −
ifodaning qiymati qaysi oraliqqa
8
9 10
tegishli?
A)(2; 3)
B)(3; 4)
C)(4; 5)
D)(5; 6)
(
x3 − y 3 = 3
bo’lsa, x9 + y 9 ning
x6 − y 6 = 21
qiymatini toping.
A)123
B)129
C)133
D)143
P (x) = 2x3 −x2 +3x+a va P (−1) = 0 bo’lsa,
a ning qiymatini toping.
A)−6
B)−4
C)4
D)6
x2 − 5x + 1 = 0 tenglamaning ildizlari x1 va
x
2 bo’lsa,
1
+ 0, 3 (3x22 − 15x2 + 9)
2x21 − 10x1 + 7
ning qiymatini toping.
A)1
B)2
C)3
D)5
Ildizlari 4x3 − 7x2 − 25x + 21 = 0
tenglama ildizlariga qarama-qarshi sonlar
bo’lgan tenglama tuzing.
A) 4x3 + 7x2 − 25x − 21 = 0
B) 4x3 + 7x2 + 25x − 21 = 0
C) 4x3 + 7x2 − 25x + 21 = 0
D) 4x3 − 7x2 + 25x + 21 = 0
Quyidagi tengliklardan nechtasi to’g’ri?
1)0,(6):0,(2)=0,(3)
2)0,(6)+0,(2)=0,(8)
3)0, (6) · 0, (2) = 0, (12)
Intelligence Development Center(t.me/idcuz)
4)0,(6)-0,(2)=0,(4)
5)0, (6) · 3 = 1, (8)
A)1
B)2
C)3
9
D)4
2x − 5
2x − 5
2x − 5 +
+
+ ... = 4x + 8 +
2
4
4x + 8 4x + 8
+
+ ... tenglamani yeching.
3
9
A)−15
B)−11
C)3
D)11
10
O’rta arifmetigi 12 ga teng beshta sonning
kattasi qolganlarining yig’indisiga teng. Bu
sonlardan kattasini toping.
A)15
B)20
C)25
D) 30
11
Sn −arifmetik progressiyaning dastlabki n
ta hadi yig’indisi bo’lsin.
U holda
S1 + S5 − 2S3
ifodaning qiymatini toping.
S2 − 2S1
A)4
B)5
C)7
D)8
√
x2 − 3x
x2 − 3x
≥
tengsizlikni yeching.
x−1
x+3
A)(−∞; −3) ∪ [3; ∞)
B)(−∞; 0] ∪ [3; ∞)
C) (−∞; −3) ∪ {0} ∪ [3; ∞)
D) (−∞; −3) ∪ (−3; 0] ∪ {3}
√
12
13
14
15
√
a ning qanday qiymatida (x − a) x − 7 = 0
tenglama bitta haqiqiy ildizga ega bo’ladi?
A)(−∞; 7]
B)a = 7
C)(−∞; 7)
D)[7; ∞)
√
√
√
a = 10 17; b = 4 3; c = 5 4 sonlarini o’sish
tartibida joylashtiring.
A)a; b; c
B)b; c; a
C)c; b; a
D) b; a; c
x2 − 5|x| + 6
= 0 tenglamaning barcha
x2 − x − 6
haqiqiy ildizlari ko’paytmasini toping.
A)−9
B)−6
C)6
D)36
1
16
a sonning 45%i 18 ga teng.
30%ini toping.
A)9
B)12
17
18
19
C)15
3a
sonining
4
24
D)36
n
2
ifoda natural son bo’ladigan n
2000 ·
5
ning nechta natural qiymati mavjud?
A)2 ta
B)3 ta
C)4 ta
D)5 ta
(x − 1)2 + (x − 2)2 + ... + (x − 9)2 = 11 +
22 + ... + 92 tenglamaning 0 dan farqli ildizini
ko’rsating.
9
A)
B)5
C)9
D)10
2
25
y = 8x − 4 funksiyaga teskari funksiya y =
ax + b bo’lsa, ab =?
1
1
C)
D)−32
A)32
B)−
16
16
26
a aralashma tarkibidagi tuzning foiz ulushi
b aralashmadagi tuzning foiz ulushidan 2
marta kam. Agar a aralashmadan 2 litr,
b aralashmadan 3 litr olib aralashtirilsa,
yangi aralashmadagi tuz miqdori 24% ga teng
bo’ladi. a aralashmadagi tuznig foiz ulushi
necha foiz bo’lgan?
A)12
B)15
C)16
D)24
2x2 − x ≤ x2 − 8x + 8 ≤ 2x2 − 8x − 1 qo’sh
tengsizlikning butun yechimlari nechta?
A)4
B)5
C)6
D)7
27
20
(5a − 7)x + 8
funksiyaning qiymatlar
x−2
sohasi (−∞; 3)∪(3; ∞) oraliqda bo’lsa, a ning
qiymatini toping.
A)1
B)2
C)3
D)4
y =
28
(
21
3|x−5| ≤ 27
tengsizliklar sistemasining
4|x−1| ≥ 16
eng katta butun va eng kichik butun
yechimlari ko’paytmasini toping.
A)−8
B)8
C)16
D)24
29
22
y = log3 (2 − |x|) funksiyaning aniqlanish
sohasi bilan y = log3 (x2 ) + 1 funksiyaning
aniqlanish sohalari kesishgan oraliqni toping.
A)(−2; 2)
B)(0; 2)
C)(−2; 0) ∪ (0; 2)
D)(−2; 0)
30
23
2
Agar loga2 (bc) = logb2 (ac) = 3 bo’lsa,
logc (ab) ni toping.
A)0,2
B)0, 25
C)0, 4
D) 2, 5
©
1
(2x − 4) 3x −
(x2 − 5x + 6) = 0
27
tenglamaning yechimlari sonini toping.
A)1
B)2
C)3
D)4
y = x2 − 40x + 300 funksiya grafigiga butun
koordinatali hamda manfiy ordinatali nechta
nuqta tegishli?
A) 20
B)21
C)19
D)18
8m
m = 128 bo’lsa, 8 ifodani asosi 2 bo’lgan
m
daraja shaklida yozing.
A)1
B)212
C)2128
D)2328
1
1
√
√ −
x−1
x x
Ifodani soddalashtiring:
:√
1
1
x+1
√ +
x x
A)1√
B)−1
√
( x + 1)2
( x − 1)2
D)
C)
x−1
x−1
a ning P (x) =
ko’phadning ozod
barcha qiymatlari
A)−2
B)0
(a + x − 2)4 − x − 10
hadi 6 ga teng bo’ladigan
yig’indisini toping.
C)2
D)4
Intelligence Development Center(t.me/idcuz)