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MCQOPTIONS
This section includes 2318 Mcqs, each offering curated multiple-choice questions to sharpen your 8th Class knowledge and support exam preparation. Choose a topic below to get started.
| 1001. |
The number of sides of a regular polygon where each interior angle has a measure of \[157.5{}^\circ \] is_____ |
| A. | 12 |
| B. | 14 |
| C. | 16 |
| D. | 18 |
| E. | None of these |
| Answer» D. 18 | |
| 1002. |
A quadrilateral where all the sides, angles and diagonals are equal is a ____ |
| A. | rhombus |
| B. | rectangle |
| C. | square |
| D. | trapezium |
| E. | None of these |
| Answer» D. trapezium | |
| 1003. |
Which among the following is representing the ratio of each angle of a regular pentagon to regular octagon. |
| A. | \[4:5\] |
| B. | \[5:8\] |
| C. | \[2:3\] |
| D. | \[3:5\] |
| E. | None of these |
| Answer» B. \[5:8\] | |
| 1004. |
The ratio of exterior angle to interior angle of a regular polygon is\[1:5\]. Find the number of sides of the polygon. |
| A. | 10 |
| B. | 8 |
| C. | 15 |
| D. | 12 |
| E. | None of these |
| Answer» E. None of these | |
| 1005. |
Find x in the following figure: |
| A. | \[65{}^\circ \] |
| B. | \[75{}^\circ \] |
| C. | \[80{}^\circ \] |
| D. | \[90{}^\circ \] |
| E. | None of these |
| Answer» C. \[80{}^\circ \] | |
| 1006. |
Which of the following is pair of twin primes between 50 and 70? |
| A. | 51, 53 |
| B. | 57, 59 |
| C. | 59, 61 |
| D. | 63, 65 |
| Answer» B. 57, 59 | |
| 1007. |
The number of factors of 1080 is |
| A. | 32 |
| B. | 28 |
| C. | 24 |
| D. | 36 |
| Answer» B. 28 | |
| 1008. |
A number N = 897324A64B is divided by both 8 and 9. Which of the following is the value of (A+B)? (i) 2 (ii) 11 (iii) 9 |
| A. | Either (i) or (ii) |
| B. | Either (ii) or (iii) |
| C. | Either (i) or (ii) or (iii) |
| D. | None of these |
| Answer» B. Either (ii) or (iii) | |
| 1009. |
Four prime numbers are in ascending order of their magnitudes. The product of the first three is 2, 431 and that of the last three is 4, 199. The largest given prime number is |
| A. | 11 |
| B. | 13 |
| C. | 17 |
| D. | 19 |
| Answer» E. | |
| 1010. |
Ten Students solved a total of 35 questions in a Global Math Olympiad. Each question was solved by exactly one student. There is at least one student who solved exactly one problem, at least one student who solved exactly two problems, and at least one student who solved exactly three problems. What is the minimum number of students who has/ have solved at least four problems? |
| A. | 1 |
| B. | 2 |
| C. | 6 |
| D. | 5 |
| Answer» D. 5 | |
| 1011. |
When I distribute some GMO books to my 40 students, three books will be left. If I distribute the same number of GMO books to my students and my colleague Rahul Chauhan, Seven GMO books are left. Find the minimum number of GMO books I have. |
| A. | 1443 |
| B. | 1476 |
| C. | 1480 |
| D. | 1483 |
| Answer» E. | |
| 1012. |
What is the least number which when divided by the numbers 3, 5, 6, 8, 10 and 12 leaves in each case a remainder of 2 but when divided by 13 leaves no remainder? |
| A. | 962 |
| B. | 692 |
| C. | 269 |
| D. | 629 |
| Answer» B. 692 | |
| 1013. |
The sum of two numbers is 462 and their highest common factor is 22. What is the minimum number of pair that satisfy these conditions? |
| A. | 5 |
| B. | 6 |
| C. | 7 |
| D. | 8 |
| Answer» C. 7 | |
| 1014. |
If the sum of LCM and HCF of two number is 1260 and their LCM is 900 more than of their HCF, then the product of two numbers is |
| A. | 203400 |
| B. | 194400 |
| C. | 198400 |
| D. | 205400 |
| Answer» C. 198400 | |
| 1015. |
Every counting number has an infinite number of |
| A. | Factor |
| B. | Multiples |
| C. | Prime factor |
| D. | None of these |
| Answer» C. Prime factor | |
| 1016. |
If n is any natural number, then \[{{6}^{n}}-{{5}^{n}}\]always ends with |
| A. | 1 |
| B. | 3 |
| C. | 5 |
| D. | 7 |
| Answer» B. 3 | |
| 1017. |
If n is a natural number, then \[{{9}^{2n}}-{{4}^{2n}};\] is divisible by |
| A. | 5 |
| B. | 13 |
| C. | both 5 and 13 |
| D. | None of these |
| Answer» D. None of these | |
| 1018. |
If the LCM of \[a\]and 18 is 36 and the HCF of \[a\] and 18 is 2, then a=? |
| A. | 2 |
| B. | 3 |
| C. | 4 |
| D. | 1 |
| Answer» D. 1 | |
| 1019. |
If two positive integers \[a\] and \[b\] are expressible in the form \[a=p{{q}^{2}}\]and \[b={{p}^{3}}\,\,p\,\,p,\,\,q\] being prime numbers, then LCM (a, b) is , |
| A. | \[pq\] |
| B. | \[{{p}^{3}}{{q}^{3}}\] |
| C. | \[{{p}^{3}}{{q}^{2}}\] |
| D. | \[{{p}^{2}}{{q}^{2}}\] |
| Answer» D. \[{{p}^{2}}{{q}^{2}}\] | |
| 1020. |
A number n has 10 factors. Now consider the following statements. (I) n can be a perfect square (II) n is divisible by three distinct primes Which of the above statement(s) is/ are true? |
| A. | Only I |
| B. | Only II |
| C. | Both I and II |
| D. | Neither I nor II |
| Answer» E. | |
| 1021. |
LCM of two numbers is 26XX0 where X is an unknown digit, HCF of the numbers is 24. One of them is 7Y8 where Y is an unknown digit. Number of factors of the other number is |
| A. | 28 |
| B. | 32 |
| C. | 36 |
| D. | 40 |
| Answer» C. 36 | |
| 1022. |
If \[{{P}_{1}}\] and \[{{P}_{2}}\] are two odd primes numbers such that \[{{P}_{1}}>{{P}_{2}}\]then \[P_{1}^{2}-P_{2}^{2}\] is |
| A. | an Even number |
| B. | an odd number |
| C. | an odd prime number |
| D. | a prime number |
| Answer» B. an odd number | |
| 1023. |
What least value should be assigned to \[*\] so that number \[653*47\] is divisible by 11 |
| A. | 1 |
| B. | 2 |
| C. | 6 |
| D. | 9 |
| Answer» B. 2 | |
| 1024. |
The LCM of two numbers is 1200. Which of the following cannot be their HCF |
| A. | 600 |
| B. | 500 |
| C. | 400 |
| D. | 200 |
| Answer» C. 400 | |
| 1025. |
Find the No. of factors of 15625 |
| A. | 7 |
| B. | 8 |
| C. | 9 |
| D. | 20 |
| Answer» B. 8 | |
| 1026. |
The LCM of two numbers is 495 and their HCF is 5. If the sum of the numbers is 100, then their difference is |
| A. | 10 |
| B. | 46 |
| C. | 70 |
| D. | 90 |
| Answer» B. 46 | |
| 1027. |
The LCM of \[21\times 32\times 5\times 11,\] \[24\times 34\times 52\times 7\]and \[25\times 33\times 53\times 72\times 11\] is |
| A. | \[22\times 32\times 5\] |
| B. | \[25\times 34\times 52\] |
| C. | \[23\times 32\times 5\times 7\times 11\] |
| D. | \[25\times 34\times 53\times 72\times 11\] |
| Answer» E. | |
| 1028. |
The product of two numbers is 4107. If the HCF of these numbers is 37, then the greater number is |
| A. | 101 |
| B. | 107 |
| C. | 111 |
| D. | 185 |
| Answer» D. 185 | |
| 1029. |
The ratio of two numbers is \[3:4\] and their HCF is 4. Their LCM is |
| A. | 12 |
| B. | 16 |
| C. | 24 |
| D. | 48 |
| Answer» E. | |
| 1030. |
A number N is divisible by both 8 and 12. Then N shall be divisible by |
| A. | 24 |
| B. | 48 |
| C. | 96 |
| D. | All of these |
| Answer» E. | |
| 1031. |
Product of two co-primes numbers is 117 their LCM should be |
| A. | 1 |
| B. | 117 |
| C. | Equal to their HCF |
| D. | Cannot be calculated |
| Answer» C. Equal to their HCF | |
| 1032. |
The number of prime Numbers between 1 to 100 |
| A. | 24 |
| B. | 26 |
| C. | 25 |
| D. | 28 |
| Answer» D. 28 | |
| 1033. |
Which of the following number is a perfect Number? |
| A. | 20 |
| B. | 26 |
| C. | 28 |
| D. | 25 |
| Answer» D. 25 | |
| 1034. |
The factors of \[{{\mathbf{x}}^{\mathbf{2}}}+\mathbf{2xy}-\mathbf{15}{{\mathbf{y}}^{\mathbf{2}}}\]are |
| A. | \[\left( x-5y \right)\left( x-3y \right)\] |
| B. | \[\left( x+5y \right)\left( x+3y \right)\] |
| C. | \[\left( x-5y \right)\left( x+3y \right)\] |
| D. | \[\left( x+5y \right)\left( x-3y \right)\] |
| Answer» E. | |
| 1035. |
Which of the following is equal to \[{{\mathbf{x}}^{\mathbf{3}}}\left( \mathbf{a}-\mathbf{2b} \right)+{{\mathbf{x}}^{\mathbf{2}}}\left( \mathbf{a}-\mathbf{2b} \right).\] |
| A. | \[{{x}^{2}}(a-2b)(x+1)\] |
| B. | \[\left( {{x}^{2}}-1 \right)\left( a-2b \right)\] |
| C. | \[\left( {{x}^{2}}+1 \right)\left( a-2b \right)\left( x+1 \right)\] |
| D. | \[x\left( a-2b \right)\left( x-1 \right)\] |
| Answer» B. \[\left( {{x}^{2}}-1 \right)\left( a-2b \right)\] | |
| 1036. |
\[(\mathbf{x}+\mathbf{a})(\mathbf{x}-\mathbf{b})\]is given by |
| A. | \[{{x}^{2}}-\left( a+b \right)x+ab\] |
| B. | \[{{x}^{2}}-\left( a-b \right)x+ab\] |
| C. | \[{{x}^{2}}-\left( a-b \right)x+ab\] |
| D. | \[~{{x}^{2}}+\left( a-b \right)x-ab\] |
| Answer» E. | |
| 1037. |
If \[\mathbf{a}=\mathbf{2},\mathbf{b}=\mathbf{1}\] then \[{{\mathbf{a}}^{\mathbf{2}}}+{{\mathbf{b}}^{\mathbf{2}}}+\mathbf{2ab}=\] |
| A. | 9 |
| B. | 4 |
| C. | 2 |
| D. | 1 |
| Answer» B. 4 | |
| 1038. |
Find the degree of \[{{\left( {{x}^{2}}-x \right)}^{2}}\] |
| A. | 3 |
| B. | 4 |
| C. | 5 |
| D. | 6 |
| Answer» C. 5 | |
| 1039. |
The expanded form of \[\left( \mathbf{x}+\mathbf{y} \right)\left( \mathbf{x}-\mathbf{y} \right)\] is a |
| A. | monomial |
| B. | binomial |
| C. | trinomial |
| D. | none of these |
| Answer» C. trinomial | |
| 1040. |
The zero of \[\mathbf{x}+\mathbf{2}\]is |
| A. | 0 |
| B. | 2 |
| C. | \[-\]2 |
| D. | 1 |
| Answer» D. 1 | |
| 1041. |
Factorization: \[~{{\mathbf{x}}^{\mathbf{2}}}-\mathbf{3ax}-\mathbf{88}{{\mathbf{a}}^{\mathbf{2}}}\] |
| A. | \[\left( x-11a \right)\left( x-8a \right)\] |
| B. | \[\left( x-11a \right)\left( x+8a \right)\] |
| C. | \[\left( x+11a \right)\left( x+8a \right)\] |
| D. | \[\left( x-9a \right)\left( x+4a \right)\] |
| Answer» C. \[\left( x+11a \right)\left( x+8a \right)\] | |
| 1042. |
Factorization: \[\mathbf{10}+\mathbf{3x}-{{\mathbf{x}}^{\mathbf{2}}}\] |
| A. | \[\left( 2+x \right)\left( 5-x \right)\] |
| B. | \[\left( 2+x \right)\left( 5+x \right)\] |
| C. | \[\left( 2+x \right)\left( 3-x \right)\] |
| D. | \[\left( 2+3x \right)\left( 2-x \right)\] |
| Answer» B. \[\left( 2+x \right)\left( 5+x \right)\] | |
| 1043. |
Factorization: \[\mathbf{2}{{\mathbf{x}}^{\mathbf{2}}}-\mathbf{7x}-\mathbf{30}\] |
| A. | \[\left( 2x+5 \right)\left( x-6 \right)\] |
| B. | \[\left( 2x+5 \right)\left( x+6 \right)\] |
| C. | \[\left( 2x-5 \right)\left( x-6 \right)\] |
| D. | \[\left( 2x+2 \right)\left( x-3 \right)\] |
| Answer» B. \[\left( 2x+5 \right)\left( x+6 \right)\] | |
| 1044. |
Factorization: \[\mathbf{3}{{\mathbf{x}}^{\mathbf{2}}}-\mathbf{4x}-\mathbf{7}\] |
| A. | \[\left( 3x+7 \right)\left( x+1 \right)\] |
| B. | \[\left( 3x-7 \right)\left( x-1 \right)\] |
| C. | \[\left( 3x-7 \right)\left( x+1 \right)\] |
| D. | \[\left( 3x-5 \right)\left( x+2 \right)\] |
| Answer» D. \[\left( 3x-5 \right)\left( x+2 \right)\] | |
| 1045. |
Factorization: \[{{\mathbf{x}}^{\mathbf{2}}}-\mathbf{17x}-\mathbf{84}\] |
| A. | \[\left( x-3 \right)\left( x+4 \right)\] |
| B. | \[\left( x-21 \right)\left( x+4 \right)\] |
| C. | \[\left( x-21 \right)\left( x-4 \right)\] |
| D. | \[\left( x+21 \right)\left( x+4 \right)\] |
| Answer» C. \[\left( x-21 \right)\left( x-4 \right)\] | |
| 1046. |
The factors of \[{{x}^{4}}+{{y}^{4}}+{{x}^{2}}{{y}^{2}}\] are _____. |
| A. | \[({{x}^{2}}+{{y}^{2}})({{x}^{2}}+{{y}^{2}}-xy)\] |
| B. | \[({{x}^{2}}+{{y}^{2}})({{x}^{2}}-{{y}^{2}})\] |
| C. | \[({{x}^{2}}+{{y}^{2}}+xy)({{x}^{2}}+{{y}^{2}}-xy)\] |
| D. | Factorisation is not possible |
| Answer» D. Factorisation is not possible | |
| 1047. |
What are the factors of\[{{x}^{4}}+{{y}^{4}}+{{x}^{2}}{{y}^{2}}\]? |
| A. | \[({{x}^{2}}+{{y}^{2}})\] and \[({{x}^{2}}+{{y}^{2}}-xy)\] |
| B. | \[({{x}^{2}}+{{y}^{2}})\]and \[({{x}^{2}}-{{y}^{2}})\] |
| C. | \[({{x}^{2}}+{{y}^{2}}+xy)\] and \[({{x}^{2}}+{{y}^{2}}-xy)\] |
| D. | Factorization is not possible. |
| Answer» D. Factorization is not possible. | |
| 1048. |
Factorising \[{{(x-y)}^{2}}+4xy-{{z}^{2}}\], we get |
| A. | \[(x+y+z)(x+y-z)\] |
| B. | \[(y-y-z)(x+y-z)\] |
| C. | \[(x-y+z)(x+y-z)\] |
| D. | None of these |
| Answer» B. \[(y-y-z)(x+y-z)\] | |
| 1049. |
Factors of \[{{x}^{4}}-{{(x-z)}^{4}}\] are __. |
| A. | \[(2x+z)(2{{x}^{3}}+{{z}^{3}}-2{{x}^{2}})\] |
| B. | \[z(x+2z)({{x}^{2}}+{{z}^{2}}-{{x}^{2}})\] |
| C. | \[z(2x-z)(2{{x}^{2}}-2xz+{{z}^{2}})\] |
| D. | \[z(x-2z)(2{{z}^{2}}-2xz+{{x}^{2}})\] |
| Answer» D. \[z(x-2z)(2{{z}^{2}}-2xz+{{x}^{2}})\] | |
| 1050. |
Amrit and Pankaj expanded \[{{(x-5)}^{2}}\]. Amrit's answer is \[{{x}^{2}}-25\] and Pankaj's answer is \[{{x}^{2}}-10x+25\].Which of the following statements is correct? |
| A. | Amrit's answer is correct. |
| B. | Pankaj's answer is wrong. |
| C. | Both got correct answer. |
| D. | Pankaj's answer is correct. |
| Answer» E. | |