5-sinf Matematika olimpiada №1

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1. Hisoblang :

A) -4000

B) 0

C) 1000

D) 1000

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2. Zavodning 3 ta sexida 2740 nafar ishchi ishlaydi . Ikkinchi sexda birinchisiga nisbatan 140 ta ko`p ishchi , uchinchi sexda esa ikkinchisiga nisbatan 1 ,2 marta ko`p ishchi ishlaydi . har bir sexda qanchadan ishchi ishlaydi ?

A) 790;900;1050

B) 760;900;1080

C) 750;900;1090

D) 760;980;1000

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3. x soni y ning p foiziga teng .y soni x ning 4p foiziga teng . p ni toping ?

A) 70

B) 50

C) 60

D) 55

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4. Ruchka qalamdan ikki marta qimmat , o`chirg`ich esa qalamdan uch marta arzon . Agar ruchka , qalam va o`chirg`ich 2000 so`m bo`lsa qalam necha so`m turadi .

A) 550

B) 500

C) 600

D) 400

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5. Teplohod ikki pristan oralig`idagi masofa daryo oqimi bo`yicha 7 soat , oqimga qarshi 9 soat o`tadi . Agar oqimning tezligi 2 km/s bo`lsa pristanlar orasidagi masofani aniqlang ?

A) 36km

B) 146km

C) 566km

D) 126km

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6. 1+2-3+4+5-6+7+8-9+…208+209-210 ni hisoblang

A) 7425

B) 7445

C) 7275

D) 7245

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7. Idish to`g`ri burchakli parallelepiped shaklida bo`ib , uning bo`yi 60 sm eni 45 sm va balandligi 47 sm ga teng. Agar idishdagi suv sathi 40 sm balandlikda bo`lsa , unda necha litr suv bor ?

A) 106

B) 108

C) 115

D) 135

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8. Ifodaning qiymatini toping :

A) 664/49

B) 96/59

C) 37/49

D) 576/49

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9. Agar uch xonali sondan 6 ni ayirsak ayirma 7 ga bo`linadi , 7 ni ayirsak ayirma 8 ga bo`linadi , 8 ni ayirsak ayirma 9 ga bo`linadi .Bu sonni toping .

A) 503

B) 167

C) 936

D) 143

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10. 3 ga bo`linmaydigan sonning kvadratidan bittaga kam bo`lgan son , qaysi songa qoldiqsiz bo`linadi?

A) 6

B) 3

C) 4

D) 2

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11. Sotuvchi kilosi 1500 so`mdan 100 kg olma sotib oldi . 20 kg maydaroq olmalarni sotuvchi 1750 so`mdan , qolganlarini 2000 so`mdan sotdi . Bu tijoratda sotuvchi necha foiz foyda qilgan ?

A) 80%

B) 30%

C) 40%

D) 50%

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12. Ikki sonning ayirmasi 30 ga teng , nisbati esa 3 ga teng . Shu sonlarni toping .

A) (55;25)

B) (45;15)

C) (46;16)

D) (42 ;12)

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13. Hisoblang:

A) 33/76

B) 125/333

C) 33/56

D) 15/28

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14. Qanday ikki xonali son o`z raqamlar yig`indisidan 4 marta , ko`paytmasidan 3 marta katta ?

A) 40

B) 32

C) 12

D) 24

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15. Otasi 41 yoshda katta o`g`il 13 yoshda , qizi 10 yoshda kichik o`g`li 6 yoshda . Necha yildan keyin otasining yoshi hamma bolalari yoshlarining yi`gi`indisiga teng bo`ladi ?

A) 4

B) 5

C) 6

D) 7

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16. Agar uch xonali sondan 6 ni ayirsak ayirma 7 ga bo`linadi , 7 ni ayirsak ayirma 8 ga bo`linadi , 8 ni ayirsak ayirma 9 ga bo`linadi .Bu sonni toping .

A) 936

B) 167

C) 503

D) 143

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17. p qanday tub son bo`lganda 71 p +1 biror natural sonnig kvadratiga teng bo`ladi ?

A) 53

B) 75

C) 83

D) 73

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18. Birdan o`ngacha bo`lgan natural sonlar ko`paytmasining natural bo`luvchilari sonini toping ?

A) 32

B) 275

C) 270

D) 280

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19. Bir odam avval maoshining yarmini keyin oltidan bir qismini , keyinroq esa qolganing yarmini oldi . Agar olgan pulining beshdan bir qismi 350 so` m bo`lsa , u odam yana qancha olishi kerak ?

A) 10500 So`m

B) 3155 So`m

C) 2100 So`m

D) 1750 So`m

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20. Kubning sirti 294 sm² ga teng . Uning barcha qirralari yig`indisini toping ?

A) 74 sm

B) 84 sm

C) 75 sm

D) 85 sm

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21. x , y , z Natural sonlar uchun 28x+30y+31z =365 munosabat o`rinli bo`lsa x+y+z ni toping .

A) 12

B) 11

C) 8

D) 10

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22. Parovoz ma`lum masofani 2,25 sutkada o`tishi kerak edi , lekin u har soatda mo`ljaldagidan 25 km ko`p yo`l o`tganligi va shuning uchun mo`ljallangan masofani 2 sutkada o`tganligi ma`lum bo`ldi .Paravoz qancha masofa o`tgan ?

A) 10000

B) 10800

C) 1080

D) 10080

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23. Hisoblang:

A) 27/2

B) 2/27

C) 1/27

D) 4/27

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24. Basseyn ikkita quvur bilan 7,5 soatda to`ldiriladi. Birinchi quvurning yolg`iz o`zi basseynni ikkinchi quvurning yolg`iz o`zi to`ldirganidan 8 soat tezroq to`ldiradi . Birinchi quvurning alohida o`zi basseynni necha soatda to`ldira oladi ?

A) 16

B) 15,5

C) 12

D) 15

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25. Ikki sonning yi`g`indisi 150ga , shu sonlarning EKUBi 30 ga teng natural qiymatlaridagi yechimlar juftligi nechta ?

A) 1

B) 4

C) 3

D) 2

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Matematika olimpiada