1.Link zadatka Zbir tri prirodna broja je [inline]125[/inline]. Ako je prvi od njih petnaesti prirodan broj po redu a drugi je [inline]\displaystyle\frac{1}{4}[/inline] trećeg, onda je razlika najvećeg i najmanjeg od tih brojeva jednaka:
[inline]\text{A)}[/inline] [inline]54[/inline] [inline]\text{B)}[/inline] [inline]57[/inline] [inline]\text{C)}[/inline] [inline]76[/inline] [inline]\text{D)}[/inline] [inline]73[/inline] [inline]\text{E)}[/inline] [inline]80[/inline] [inline]\text{N)}[/inline] ne znam[inline]\text{A)}[/inline] [inline]54[/inline] [inline]\text{B)}[/inline] [inline]57[/inline] [inline]\text{C)}[/inline] [inline]76[/inline] [inline]\enclose{circle}{\text{D)}}[/inline] [inline]73[/inline] [inline]\text{E)}[/inline] [inline]80[/inline] [inline]\text{N)}[/inline] ne znam
2.Link zadatka Ako važi odnos [inline]2,5:a=3,5:b[/inline] onda je količnik [inline]\displaystyle\frac{a}{b}[/inline] jednak:
[inline]\text{A)}[/inline] [inline]\displaystyle\frac{3}{4}[/inline] [inline]\text{B)}[/inline] [inline]\displaystyle\frac{5}{7}[/inline] [inline]\text{C)}[/inline] [inline]\displaystyle\frac{7}{5}[/inline] [inline]\text{D)}[/inline] [inline]1,5[/inline] [inline]\text{E)}[/inline] [inline]\displaystyle\frac{2}{3}[/inline] [inline]\text{N)}[/inline] ne znam[inline]\text{A)}[/inline] [inline]\displaystyle\frac{3}{4}[/inline] [inline]\enclose{circle}{\text{B)}}[/inline] [inline]\displaystyle\frac{5}{7}[/inline] [inline]\text{C)}[/inline] [inline]\displaystyle\frac{7}{5}[/inline] [inline]\text{D)}[/inline] [inline]1,5[/inline] [inline]\text{E)}[/inline] [inline]\displaystyle\frac{2}{3}[/inline] [inline]\text{N)}[/inline] ne znam
3.Link zadatka Najmanja vrednost izraza [inline]x^2-14x+51[/inline] je:
[inline]\text{A)}[/inline] [inline]2[/inline] [inline]\text{B)}[/inline] [inline]3[/inline] [inline]\text{C)}[/inline] [inline]0[/inline] [inline]\text{D)}[/inline] [inline]7[/inline] [inline]\text{E)}[/inline] [inline]1[/inline] [inline]\text{N)}[/inline] ne znam[inline]\enclose{circle}{\text{A)}}[/inline] [inline]2[/inline] [inline]\text{B)}[/inline] [inline]3[/inline] [inline]\text{C)}[/inline] [inline]0[/inline] [inline]\text{D)}[/inline] [inline]7[/inline] [inline]\text{E)}[/inline] [inline]1[/inline] [inline]\text{N)}[/inline] ne znam
4.Link zadatka Vrednost parametra [inline]a[/inline] za koje jednačina [inline]\displaystyle1+\frac{3}{2}x=\frac{a}{2}(1-x)[/inline] nema rešenja pripada intervalu:
[inline]\text{A)}[/inline] [inline][-4,-2][/inline] [inline]\text{B)}[/inline] [inline][-1,0][/inline] [inline]\text{C)}[/inline] [inline](-2,-1)[/inline] [inline]\text{D)}[/inline] [inline][1,2][/inline] [inline]\text{E)}[/inline] uvek ima rešenja [inline]\text{N)}[/inline] ne znam[inline]\enclose{circle}{\text{A)}}[/inline] [inline][-4,-2][/inline] [inline]\text{B)}[/inline] [inline][-1,0][/inline] [inline]\text{C)}[/inline] [inline](-2,-1)[/inline] [inline]\text{D)}[/inline] [inline][1,2][/inline] [inline]\text{E)}[/inline] uvek ima rešenja [inline]\text{N)}[/inline] ne znam
5.Link zadatka Rešenje jednačine [inline]\log x=3\log5-2\log25-\log10[/inline] je:
[inline]\text{A)}[/inline] [inline]0,2[/inline] [inline]\text{B)}[/inline] [inline]0,5[/inline] [inline]\text{C)}[/inline] [inline]0,02[/inline] [inline]\text{D)}[/inline] [inline]3[/inline] [inline]\text{E)}[/inline] [inline]2[/inline] [inline]\text{N)}[/inline] ne znam[inline]\text{A)}[/inline] [inline]0,2[/inline] [inline]\text{B)}[/inline] [inline]0,5[/inline] [inline]\enclose{circle}{\text{C)}}[/inline] [inline]0,02[/inline] [inline]\text{D)}[/inline] [inline]3[/inline] [inline]\text{E)}[/inline] [inline]2[/inline] [inline]\text{N)}[/inline] ne znam
6.Link zadatka Rešenje jednačine [inline]1+4+7+\cdots+x=117[/inline] je:
[inline]\text{A)}[/inline] [inline]30[/inline] [inline]\text{B)}[/inline] [inline]25[/inline] [inline]\text{C)}[/inline] [inline]20[/inline] [inline]\text{D)}[/inline] [inline]33[/inline] [inline]\text{E)}[/inline] [inline]19[/inline] [inline]\text{N)}[/inline] ne znam[inline]\text{A)}[/inline] [inline]30[/inline] [inline]\enclose{circle}{\text{B)}}[/inline] [inline]25[/inline] [inline]\text{C)}[/inline] [inline]20[/inline] [inline]\text{D)}[/inline] [inline]33[/inline] [inline]\text{E)}[/inline] [inline]19[/inline] [inline]\text{N)}[/inline] ne znam
7.Link zadatka Ako je uređeni par [inline](x_0,y_0)[/inline] rešenje sistema [inline]9^{x+y}=729[/inline]; [inline]3^{x-y-1}=1[/inline], onda je [inline]2x_0+y_0[/inline] jednako:
[inline]\text{A)}[/inline] [inline]1[/inline] [inline]\text{B)}[/inline] [inline]2[/inline] [inline]\text{C)}[/inline] [inline]5[/inline] [inline]\text{D)}[/inline] [inline]-1[/inline] [inline]\text{E)}[/inline] [inline]4[/inline] [inline]\text{N)}[/inline] ne znam[inline]\text{A)}[/inline] [inline]1[/inline] [inline]\text{B)}[/inline] [inline]2[/inline] [inline]\enclose{circle}{\text{C)}}[/inline] [inline]5[/inline] [inline]\text{D)}[/inline] [inline]-1[/inline] [inline]\text{E)}[/inline] [inline]4[/inline] [inline]\text{N)}[/inline] ne znam
8.Link zadatka Vrednost parametra [inline]p[/inline] takva da za rešenja jednačine [inline]x^2-(p+3)x+p+2=0[/inline] važi relacija [inline]\displaystyle\frac{x_1}{1+x_1}+\frac{x_2}{1+x_2}=\frac{13}{10}[/inline] je:
[inline]\text{A)}[/inline] [inline]1[/inline] [inline]\text{B)}[/inline] [inline]2[/inline] [inline]\text{C)}[/inline] [inline]3[/inline] [inline]\text{D)}[/inline] [inline]-1[/inline] [inline]\text{E)}[/inline] [inline]4[/inline] [inline]\text{N)}[/inline] ne znam[inline]\text{A)}[/inline] [inline]1[/inline] [inline]\enclose{circle}{\text{B)}}[/inline] [inline]2[/inline] [inline]\text{C)}[/inline] [inline]3[/inline] [inline]\text{D)}[/inline] [inline]-1[/inline] [inline]\text{E)}[/inline] [inline]4[/inline] [inline]\text{N)}[/inline] ne znam
9.Link zadatka Broj rešenja jednačine [inline]\left|x^2-2\right|=|x|[/inline] je:
[inline]\text{A)}[/inline] [inline]1[/inline] [inline]\text{B)}[/inline] [inline]3[/inline] [inline]\text{C)}[/inline] [inline]2[/inline] [inline]\text{D)}[/inline] [inline]0[/inline] [inline]\text{E)}[/inline] [inline]4[/inline] [inline]\text{N)}[/inline] ne znam[inline]\text{A)}[/inline] [inline]1[/inline] [inline]\text{B)}[/inline] [inline]3[/inline] [inline]\text{C)}[/inline] [inline]2[/inline] [inline]\text{D)}[/inline] [inline]0[/inline] [inline]\enclose{circle}{\text{E)}}[/inline] [inline]4[/inline] [inline]\text{N)}[/inline] ne znam
10.Link zadatka Zbir rešenja jednačine [inline]\sqrt[3]{x^2}-\sqrt[3]x-12=0[/inline] je:
[inline]\text{A)}[/inline] [inline]91[/inline] [inline]\text{B)}[/inline] [inline]93[/inline] [inline]\text{C)}[/inline] [inline]37[/inline] [inline]\text{D)}[/inline] [inline]0[/inline] [inline]\text{E)}[/inline] [inline]44[/inline] [inline]\text{N)}[/inline] ne znam[inline]\text{A)}[/inline] [inline]91[/inline] [inline]\text{B)}[/inline] [inline]93[/inline] [inline]\enclose{circle}{\text{C)}}[/inline] [inline]37[/inline] [inline]\text{D)}[/inline] [inline]0[/inline] [inline]\text{E)}[/inline] [inline]44[/inline] [inline]\text{N)}[/inline] ne znam
11.Link zadatka Stranice trougla se odnose kao [inline]3:4:6[/inline]. Obim trougla koji se dobija kad se spoje sredine stranica polaznog trougla je [inline]5,2[/inline]. Razlika najveće i najmanje stranice polaznog trougla je:
[inline]\text{A)}[/inline] [inline]2,4[/inline] [inline]\text{B)}[/inline] [inline]4,5[/inline] [inline]\text{C)}[/inline] [inline]5,5[/inline] [inline]\text{D)}[/inline] [inline]6,5[/inline] [inline]\text{E)}[/inline] [inline]1,4[/inline] [inline]\text{N)}[/inline] ne znam[inline]\enclose{circle}{\text{A)}}[/inline] [inline]2,4[/inline] [inline]\text{B)}[/inline] [inline]4,5[/inline] [inline]\text{C)}[/inline] [inline]5,5[/inline] [inline]\text{D)}[/inline] [inline]6,5[/inline] [inline]\text{E)}[/inline] [inline]1,4[/inline] [inline]\text{N)}[/inline] ne znam
12.Link zadatka Zbir rešenja jednačine [inline]\displaystyle\left(\frac{1}{4}\right)^\frac{4-x^2}{2}=8^x[/inline] je:
[inline]\text{A)}[/inline] [inline]3[/inline] [inline]\text{B)}[/inline] [inline]4[/inline] [inline]\text{C)}[/inline] [inline]2[/inline] [inline]\text{D)}[/inline] [inline]1[/inline] [inline]\text{E)}[/inline] [inline]0[/inline] [inline]\text{N)}[/inline] ne znam[inline]\enclose{circle}{\text{A)}}[/inline] [inline]3[/inline] [inline]\text{B)}[/inline] [inline]4[/inline] [inline]\text{C)}[/inline] [inline]2[/inline] [inline]\text{D)}[/inline] [inline]1[/inline] [inline]\text{E)}[/inline] [inline]0[/inline] [inline]\text{N)}[/inline] ne znam
13.Link zadatka Ako se poluprečnik sfere poveća za [inline]1[/inline], njena površina se poveća za [inline]8\pi[/inline]. Njena zapremina se tada poveća za:
[inline]\text{A)}[/inline] [inline]10\pi[/inline] [inline]\text{B)}[/inline] [inline]15\pi[/inline] [inline]\text{C)}[/inline] [inline]\displaystyle\frac{13}{3}\pi[/inline] [inline]\text{D)}[/inline] [inline]14\pi[/inline] [inline]\text{E)}[/inline] [inline]\displaystyle\frac{3}{7}\pi[/inline] [inline]\text{N)}[/inline] ne znam[inline]\text{A)}[/inline] [inline]10\pi[/inline] [inline]\text{B)}[/inline] [inline]15\pi[/inline] [inline]\enclose{circle}{\text{C)}}[/inline] [inline]\displaystyle\frac{13}{3}\pi[/inline] [inline]\text{D)}[/inline] [inline]14\pi[/inline] [inline]\text{E)}[/inline] [inline]\displaystyle\frac{3}{7}\pi[/inline] [inline]\text{N)}[/inline] ne znam
14.Link zadatka Zbir svih vrednosti parametra [inline]p[/inline] za koje je prava [inline]5x-3y+p=0[/inline] tangenta hiperbole [inline]x^2-y^2=36[/inline] je:
[inline]\text{A)}[/inline] [inline]48[/inline] [inline]\text{B)}[/inline] [inline]33[/inline] [inline]\text{C)}[/inline] [inline]24[/inline] [inline]\text{D)}[/inline] [inline]0[/inline] [inline]\text{E)}[/inline] [inline]10[/inline] [inline]\text{N)}[/inline] ne znam[inline]\text{A)}[/inline] [inline]48[/inline] [inline]\text{B)}[/inline] [inline]33[/inline] [inline]\text{C)}[/inline] [inline]24[/inline] [inline]\enclose{circle}{\text{D)}}[/inline] [inline]0[/inline] [inline]\text{E)}[/inline] [inline]10[/inline] [inline]\text{N)}[/inline] ne znam
15.Link zadatka Zbir [inline]1+i+i^2+\cdots+i^{2023}[/inline], gde je [inline]i^2=-1[/inline], jednak je:
[inline]\text{A)}[/inline] [inline]0[/inline] [inline]\text{B)}[/inline] [inline]-i[/inline] [inline]\text{C)}[/inline] [inline]1[/inline] [inline]\text{D)}[/inline] [inline]-1[/inline] [inline]\text{E)}[/inline] [inline]i[/inline] [inline]\text{N)}[/inline] ne znam[inline]\enclose{circle}{\text{A)}}[/inline] [inline]0[/inline] [inline]\text{B)}[/inline] [inline]-i[/inline] [inline]\text{C)}[/inline] [inline]1[/inline] [inline]\text{D)}[/inline] [inline]-1[/inline] [inline]\text{E)}[/inline] [inline]i[/inline] [inline]\text{N)}[/inline] ne znam
16.Link zadatka Ako se broj stranica nekog mnogougla poveća za [inline]7[/inline], broj dijagonala mu se poveća za [inline]119[/inline]. Broj stranica tog mnogougla je:
[inline]\text{A)}[/inline] [inline]11[/inline] [inline]\text{B)}[/inline] [inline]12[/inline] [inline]\text{C)}[/inline] [inline]15[/inline] [inline]\text{D)}[/inline] [inline]14[/inline] [inline]\text{E)}[/inline] [inline]13[/inline] [inline]\text{N)}[/inline] ne znam[inline]\text{A)}[/inline] [inline]11[/inline] [inline]\text{B)}[/inline] [inline]12[/inline] [inline]\enclose{circle}{\text{C)}}[/inline] [inline]15[/inline] [inline]\text{D)}[/inline] [inline]14[/inline] [inline]\text{E)}[/inline] [inline]13[/inline] [inline]\text{N)}[/inline] ne znam
17.Link zadatka Član u razvoju [inline]\displaystyle\left(x^3+\frac{1}{x}\right)^{12}[/inline] koji ne sadrži [inline]x[/inline] jednak je:
[inline]\text{A)}[/inline] [inline]110[/inline] [inline]\text{B)}[/inline] [inline]455[/inline] [inline]\text{C)}[/inline] [inline]233[/inline] [inline]\text{D)}[/inline] [inline]114[/inline] [inline]\text{E)}[/inline] [inline]220[/inline] [inline]\text{N)}[/inline] ne znam[inline]\text{A)}[/inline] [inline]110[/inline] [inline]\text{B)}[/inline] [inline]455[/inline] [inline]\text{C)}[/inline] [inline]233[/inline] [inline]\text{D)}[/inline] [inline]114[/inline] [inline]\enclose{circle}{\text{E)}}[/inline] [inline]220[/inline] [inline]\text{N)}[/inline] ne znam
18.Link zadatka Zbir koordinata tačke [inline]M(x,y)[/inline] na paraboli [inline]y=x^2+2x[/inline] koja je najbliža pravoj [inline]y=4x-6[/inline] jednak je:
[inline]\text{A)}[/inline] [inline]-1[/inline] [inline]\text{B)}[/inline] [inline]1[/inline] [inline]\text{C)}[/inline] [inline]3[/inline] [inline]\text{D)}[/inline] [inline]\displaystyle-\frac{2}{5}[/inline] [inline]\text{E)}[/inline] [inline]4[/inline] [inline]\text{N)}[/inline] ne znam[inline]\text{A)}[/inline] [inline]-1[/inline] [inline]\text{B)}[/inline] [inline]1[/inline] [inline]\text{C)}[/inline] [inline]3[/inline] [inline]\text{D)}[/inline] [inline]\displaystyle-\frac{2}{5}[/inline] [inline]\enclose{circle}{\text{E)}}[/inline] [inline]4[/inline] [inline]\text{N)}[/inline] ne znam
19.Link zadatka Broj načina na koji se mogu postaviti dva topa (crni i beli) na šahovskoj tabli tako da ne mogu „pojesti“ jedan drugog jednak je:
[inline]\text{A)}[/inline] [inline]3136[/inline] [inline]\text{B)}[/inline] [inline]2388[/inline] [inline]\text{C)}[/inline] [inline]2122[/inline] [inline]\text{D)}[/inline] [inline]4424[/inline] [inline]\text{E)}[/inline] [inline]3088[/inline] [inline]\text{N)}[/inline] ne znam[inline]\enclose{circle}{\text{A)}}[/inline] [inline]3136[/inline] [inline]\text{B)}[/inline] [inline]2388[/inline] [inline]\text{C)}[/inline] [inline]2122[/inline] [inline]\text{D)}[/inline] [inline]4424[/inline] [inline]\text{E)}[/inline] [inline]3088[/inline] [inline]\text{N)}[/inline] ne znam
20.Link zadatka Broj rešenja jednačine [inline]2\sin^4x-2\cos^4x-1=0[/inline] koja pripadaju intervalu [inline][-\pi,\pi][/inline] je:
[inline]\text{A)}[/inline] [inline]6[/inline] [inline]\text{B)}[/inline] [inline]3[/inline] [inline]\text{C)}[/inline] [inline]4[/inline] [inline]\text{D)}[/inline] [inline]5[/inline] [inline]\text{E)}[/inline] [inline]2[/inline] [inline]\text{N)}[/inline] ne znam[inline]\text{A)}[/inline] [inline]6[/inline] [inline]\text{B)}[/inline] [inline]3[/inline] [inline]\enclose{circle}{\text{C)}}[/inline] [inline]4[/inline] [inline]\text{D)}[/inline] [inline]5[/inline] [inline]\text{E)}[/inline] [inline]2[/inline] [inline]\text{N)}[/inline] ne znam
Izvor: LINK
Napomena: Ukoliko vam treba pomoć oko rešavanja nekog od zadataka koji dosad nije obrađivan ni na jednoj temi, slobodno zatražite pomoć na forumu „Matemanija“, naravno uz poštovanje forumskih pravila.