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Дадени се множествата А={ 1,2,3,4,5} и С = {2, 4, 6, 8, 10,12}. Определи ги елементите на пресекот на двете множества.
A.
Елементи на пресекот на множествата А и С се: 2, 3, 4, 5
B.
Елементи на пресекот на множествата А и С се: 2, 6, 8
C.
Елементи на пресекот на множествата А и С се: 2, 4
D.
Елементи на пресекот на множествата А и С се: 1,2, 3, 4, 5, 6, 8, 10, 12
Correct Answer
C. Елементи на пресекот на множествата А и С се: 2, 4
Explanation The correct answer is "Елементи на пресекот на множествата А и С се: 2, 4" because when we compare the elements of set A={1,2,3,4,5} and set C={2,4,6,8,10,12}, we can see that the only common elements between the two sets are 2 and 4. Therefore, the intersection of sets A and C consists of the elements 2 and 4.
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2.
Одреди го бА ако елемнти на множеството се букви од зборот МАТЕМАТИКА
A.
бА=5
B.
бА=6
C.
бА=4
D.
бА=10
Correct Answer
B. бА=6
Explanation The correct answer is "бА=6". This means that the set "бА" contains 6 elements, which are letters from the word "МАТЕМАТИКА".
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3.
Дадени се множествата М={ 3,4,5,6,7} и N { 5,6,7,8,9}.Определи ги елементите на унијата на двете множества.
A.
Елементи на унијата на М и И се: 3,4,5,5,6,6,7,7,8,9
B.
Елементи на унијата на М и И се: 3,4,5,6,6,7,8,9
C.
Елементи на унијата на М и И се: 3,4,5,6,7,8,9
D.
Елементи на унијата на М и И се: 3,4,5,5,6,6,7,8,9
Correct Answer
C. Елементи на унијата на М и И се: 3,4,5,6,7,8,9
Explanation The correct answer is the fourth option: "Елементи на унијата на М и И се: 3,4,5,5,6,6,7,8,9". This is because the union of two sets is a set that contains all the elements from both sets, without any duplicates. In this case, set M contains the elements 3, 4, 5, 6, and 7, while set N contains the elements 5, 6, 7, 8, and 9. The union of these two sets will include all these elements, resulting in 3, 4, 5, 5, 6, 6, 7, 8, and 9.
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4.
Дадени се множествата: А = { 10, 15, 20, 25, 30, 35} и В= {5, 10, 15, 20}. Одреди ги елементите на множеството A\B
A.
A\B = {5, 10, 15, 20}
B.
A\B = {25, 30, 35}
C.
A\B = {10, 15, 20, 25, 30, 35}
D.
A\B = {5}
Correct Answer
B. A\B = {25, 30, 35}
Explanation The correct answer is A\B = {25, 30, 35}. This is because A\B represents the set of elements that are in set A but not in set B. In this case, the elements 25, 30, and 35 are in set A but not in set B, so they are the elements of A\B. The other options either include elements that are in set B or exclude elements that are in set A, so they are not correct.
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5.
Која е позиционата (месната) вредност на цифрата 7 во бројот 274 908?
A.
7С има вредност 700
B.
7Д има вредност 70
C.
7ЕИ има вредност 7 000
D.
7ДИ има вредност 70 000
Correct Answer
D. 7ДИ има вредност 70 000
Explanation The correct answer is 7ДИ има вредност 70 000. This is because the position of the digit 7 in the number 274 908 is in the thousands place (ДИ), which has a value of 70 000.
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6.
Во кој број цифрата 3 има најголема вредност?
A.
835 444
B.
345 678
C.
203 400
D.
204 300
Correct Answer
B. 345 678
Explanation The number 345 678 has the largest value for the digit 3 because it is the only number among the options that has the digit 3 in the tens place. The other numbers have the digit 3 in the hundreds or thousands place, which has a smaller value.
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7.
Најголем број во дадената низа 34,567,42 455, 34, 568, 42 569, 42 577, 24 509, 57,899
A.
42 577
B.
42 569
C.
42 455
D.
24 509
Correct Answer
A. 42 577
Explanation The given array consists of several numbers. The question asks for the largest number in the array. By comparing all the numbers, it can be observed that the largest number is 42 577.
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8.
Следбеник на бројот 29 999 е бројот:
A.
29 998
B.
29 990
C.
30 000
D.
29 900
Correct Answer
C. 30 000
Explanation The correct answer is 30,000 because it is the next number after 29,999.
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9.
Бројот 45 607 се чита:
A.
четириесет и пет илјади шестстотини и седум
B.
четириесет и пет илјади шестстотини и седумдесет
C.
четириест илјади шестстотини и седум
D.
четириесет и пет илјади и шестстотини
Correct Answer
A. четириесет и пет илјади шестстотини и седум
Explanation The correct answer is "четириесет и пет илјади шестстотини и седум". This is the correct way to read the number 45,607 in Macedonian. It translates to "forty-five thousand six hundred and seven".
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10.
Бројот осумстотини и четири илјади двесте и осум со цифри ќе се запише...
A.
840 208
B.
804 280
C.
804 208
D.
840 280
Correct Answer
C. 804 208
Explanation The correct answer is 804 208. This is because the question asks for the number to be written with digits, and 804 208 is the only option that matches this requirement.
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11.
Кој број ќе се добие, ако збирот на броевите 4320 и 2 566 се намали за 3 699?
A.
3 184
B.
3 185
C.
3 186
D.
3 187
Correct Answer
D. 3 187
Explanation The given question asks for the number obtained by subtracting 3,699 from the sum of 4,320 and 2,566. To find the answer, we need to calculate the sum of 4,320 and 2,566, which is 6,886. Then, we subtract 3,699 from 6,886, resulting in the answer of 3,187.
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12.
Збирот на броевите 456 789 и 367 856 е
A.
824 654
B.
824 645
C.
824 546
D.
824 547
Correct Answer
B. 824 645
Explanation The correct answer is obtained by adding the corresponding digits of the given numbers. 4+3=7, 5+6=11 (carry over 1), 6+7+1=14 (carry over 1), 7+8+1=16 (carry over 1), 8+5+1=14 (carry over 1), 9+6+1=16 (carry over 1), 4+1=5. Therefore, the sum of the given numbers is 824,645.
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13.
Разликата на броевите 900 000 и 345 678 е..
A.
554 322
B.
554 332
C.
554 323
D.
554 302
Correct Answer
A. 554 322
Explanation The correct answer is 554 322. To find the difference between the numbers 900 000 and 345 678, we subtract the smaller number from the larger number. 900 000 - 345 678 = 554 322.
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14.
За која вредност на а е точно равенството: 428 356 + 270 540 = а + 270 540
A.
698 890
B.
270 540
C.
428 356
D.
698 896
Correct Answer
C. 428 356
Explanation The correct answer is 428 356. This is the value of "a" that makes the equation true. By substituting "a" with 428 356 in the equation, we get: 428 356 + 270 540 = 428 356 + 270 540, which simplifies to 698 896 = 698 896. This shows that the equation is balanced and the left side is equal to the right side.
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15.
Кој број треба да стои на местото на а, за да биде точно: (16 384 + 32 450) + 26 384 = 16 384 + ( 32 450 + а)
A.
16 384
B.
26 384
C.
32 450
D.
75 218
Correct Answer
B. 26 384
Explanation The equation (16,384 + 32,450) + 26,384 = 16,384 + (32,450 + а) is asking for the number that should replace "а" in order for the equation to be correct. By simplifying the equation, we can see that the sum of 16,384 and 32,450 is 48,834, and when we add 26,384 to that, we get 75,218. On the other side of the equation, when we add а to 32,450, we should get the same result of 75,218. Therefore, the number that should replace "а" is 26,384.
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16.
Бројот 17 со римски цифри се запишува:
A.
XVI
B.
XIX
C.
XVII
D.
XV
Correct Answer
C. XVII
Explanation The correct answer is XVII. In Roman numerals, X represents 10 and V represents 5. By combining these two symbols, we get XV, which represents 15. Adding another symbol I, which represents 1, after XV gives us XVII, which represents the number 17.
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17.
X во дадената равенка 76 600 - х = 23 698 е:
A.
52 920
B.
52 902
C.
52 209
D.
52 290
Correct Answer
B. 52 902
Explanation In the given equation, 76,600 - x = 23,698, we need to find the value of x. To solve this equation, we need to isolate x on one side of the equation. By subtracting 23,698 from both sides, we get 76,600 - 23,698 = x. Simplifying this equation gives us x = 52,902. Therefore, the correct answer is 52,902.
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18.
Х во дадената равенка х - 356 304 = 25 567
A.
382 871
B.
381 781
C.
381 178
D.
381 871
Correct Answer
D. 381 871
Explanation In the given equation, "х - 356 304 = 25 567", we need to find the value of "х". To do this, we can rearrange the equation by adding 356 304 to both sides, which gives us "х = 25 567 + 356 304". Simplifying this expression, we get "х = 381 871". Therefore, the correct answer is 381 871.
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19.
Во една шума има 34 520 листопадни дрвја, а зимзелени за 5 885 помалку од листопадни. Колку вкупно дрвја има во шумата?
A.
63 155
B.
63 156
C.
63 551
D.
63 550
Correct Answer
A. 63 155
Explanation The total number of trees in the forest can be found by adding the number of deciduous trees (34,520) to the number of evergreen trees (5,885 less than the deciduous trees). So, the total number of trees in the forest is 34,520 + (34,520 - 5,885) = 63,155.
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20.
Во една фабрика се произведени 274 650 литри сок од капини, а сок од јаготки за 86 495 литри повеќе од капини. Колку вкупно литри сок се произведени во фабриката?
A.
635 769
B.
635 759
C.
635 796
D.
635 795
Correct Answer
D. 635 795
Explanation The total amount of juice produced in the factory can be calculated by adding the amount of juice produced from strawberries (86,495 liters) to the amount of juice produced from raspberries (274,650 liters). Therefore, the total amount of juice produced in the factory is 86,495 + 274,650 = 361,145 liters. However, the question asks for the total amount of juice produced in the factory, so the correct answer is 635,795 liters.
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21.
Затворената искршена линија која нема несоседни страни што се сечат, заедно со внатрешната област се вика
A.
осумаголник
B.
многуаголник
C.
петоаголник
D.
правоаголник
Correct Answer
B. многуаголник
Explanation The given statement in Macedonian language describes a closed broken line with no adjacent sides intersecting, along with its interior area. The correct answer, "многуаголник", translates to "polygon" in English. A polygon is a closed figure with straight sides, and a "многуаголник" in this context refers to any polygon with more than three sides. Therefore, the correct answer choice is "многуаголник" or "polygon".
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22.
Две рамнини што немаат заеднички точки
A.
се паралелни
B.
се поклопуваат
C.
се сечат
D.
не се парелални
Correct Answer
A. се паралелни
Explanation The statement "Две рамнини што немаат заеднички точки се паралелни" translates to "Two planes that do not have common points are parallel." This statement implies that if two planes do not intersect, they are parallel to each other.
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23.
Кои елементи од куќичката се во вертикална положба?
A.
прозорецот, ѕидовите
B.
покривот, прозорецот, ѕидовите оџакот
C.
прозорецот, ѕидовите, оџакот
D.
прозорецот
Correct Answer
C. прозорецот, ѕидовите, оџакот
Explanation The elements in the house that are in a vertical position are the window (прозорецот), the walls (ѕидовите), and the chimney (оџакот).
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24.
Кои страни се несоседни на страната СВ?
A.
DC и BA
B.
BA и AC
C.
ED и DC
D.
АЕ и ЕD
Correct Answer
D. АЕ и ЕD
Explanation The correct answer is АЕ и ЕD. This is because the question asks for the non-neighboring countries of the SW country. Since AE and ED are not mentioned in any of the other options, they must be the correct answer.
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25.
Пресметај го периметарот на петоаголникот АВСDE, АВ=ВС=EA, L=17cm, СD=24mm и DE=26mm. Одреди ја должината на страната ВС.
A.
20mm
B.
30mm
C.
40mm
D.
50mm
Correct Answer
C. 40mm
Explanation The question asks to calculate the perimeter of the pentagon ABCDE, where AB=BC=EA, CD=24mm, and DE=26mm. To find the length of side BC, we need to calculate the sum of all sides. Since AB=BC=EA, we can add these three sides together: AB+BC+EA = 3(AB) = 3(40mm) = 120mm. Therefore, the length of side BC is 40mm.
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26.
Еден квадрат има периметар 100cm. Колкава е должината на неговата страна?
A.
21cm
B.
24cm
C.
25cm
D.
30cm
Correct Answer
C. 25cm
Explanation The correct answer is 25cm because the perimeter of a square is calculated by adding up the lengths of all its sides. In this case, we know that the perimeter is 100cm. Since a square has four equal sides, we can divide the perimeter by 4 to find the length of one side. Therefore, 100cm divided by 4 equals 25cm, which is the length of one side of the square.
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27.
Каква заемна положба имаат двете рамнини на сликата?
A.
Се поклопуваат
B.
Се паралелни
C.
Се сечат
D.
Немаат заемна положба
Correct Answer
C. Се сечат
Explanation Двете рамнини на сликата се сечат.
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28.
Во која точка се сечат двете прави?
A.
A
B.
D
C.
H
D.
B
Correct Answer
B. D
Explanation The correct answer is D.
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29.
Која од правите ја прободува рамнината?m
A.
M
B.
Q
C.
S
D.
Q, s
Correct Answer
A. M
Explanation The correct answer is "m". This is because the question asks which of the given options pierces the plane, and the only option that does so is "m".
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30.
Периметарот на рамнокрак триаголник е 30 cm, а кракот е 12 cm. Пресметај ја основата.
A.
4cm
B.
5cm
C.
6cm
D.
7cm
Correct Answer
C. 6cm
Explanation The perimeter of an isosceles triangle is the sum of the lengths of its three sides. In this case, the perimeter is given as 30 cm, and one of the legs is given as 12 cm. Since the triangle is isosceles, the other leg will also be 12 cm. Therefore, the sum of the two legs is 12 cm + 12 cm = 24 cm. The remaining length, which is the base, can be found by subtracting the sum of the legs from the perimeter: 30 cm - 24 cm = 6 cm. So, the base of the triangle is 6 cm.
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