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MCQOPTIONS
This section includes 1185 Mcqs, each offering curated multiple-choice questions to sharpen your 8th Class knowledge and support exam preparation. Choose a topic below to get started.
| 151. |
By taking \[\pi =3.141\]and \[\sqrt{2}=1.414,\]evaluate\[\frac{2\pi +3\sqrt{2}}{5}\] upto three places of decimals. |
| A. | 2.104 |
| B. | 2.105 |
| C. | 3.428 |
| D. | 4.646 |
| Answer» C. 3.428 | |
| 152. |
If 'a' and 'b' are two non-negative real numbers, which of the following is true? |
| A. | \[\sqrt{a}+\sqrt{b}=\sqrt{a+b}\] |
| B. | \[\sqrt{a}-\sqrt{b}=\sqrt{a-b}\] |
| C. | \[\sqrt{a}-\sqrt{b}\ne \sqrt{a-b}\] |
| D. | \[\sqrt{a}+\sqrt{b}=\sqrt{ab}\] |
| Answer» D. \[\sqrt{a}+\sqrt{b}=\sqrt{ab}\] | |
| 153. |
Shanker's family consumed\[3\frac{1}{2}\text{kg}\]sugar in the first 15 days of a month. For the next 15 days they consumed\[3\frac{3}{4}\text{kg}\]sugar. How much sugar did they consume for the whole month? |
| A. | \[5\frac{1}{2}kg\] |
| B. | \[7\frac{1}{4}kg\] |
| C. | \[6\frac{1}{3}kg\] |
| D. | \[4\frac{3}{4}kg\] |
| Answer» C. \[6\frac{1}{3}kg\] | |
| 154. |
Which of the following conclusions, is true about the statement in the box? |
| A. | The statement is always true. |
| B. | The statement is true when "x" is negative. |
| C. | The statement is true when \[x=0.\] |
| D. | The statement is never true. |
| Answer» D. The statement is never true. | |
| 155. |
Find the decimal equivalent of \[\frac{9}{11}\]. |
| A. | \[0.\overline{61}\] |
| B. | \[~0.\overline{71}\] |
| C. | \[0.\overline{81}\] |
| D. | \[~0.\overline{91}\] |
| Answer» D. \[~0.\overline{91}\] | |
| 156. |
Direction: Study the information given below and answer the question that follow: (i) A, B, C, D, E and F are six students in a class. (ii) B and C are shorter than F but heavier than A. (iii) D is heavier than B and taller than C. (iv) E is shorter than D but taller than F. (v) F is heavier than D. (vi) A is shorter than E but taller than F. Which of the following statements is true for F as regards height and weight? |
| A. | He is lighter than E and taller than E. |
| B. | He is heavier than B and taller than E. |
| C. | He is heavier than B and C but shorter than D. |
| D. | He is lighter than E and also shorter than E. |
| Answer» C. He is heavier than B and C but shorter than D. | |
| 157. |
Direction: Study the information given below and answer the question that follow: (i) A, B, C, D, E and F are six students in a class. (ii) B and C are shorter than F but heavier than A. (iii) D is heavier than B and taller than C. (iv) E is shorter than D but taller than F. (v) F is heavier than D. (vi) A is shorter than E but taller than F. Which of the following groups of friends is shorter than A? |
| A. | B, C only |
| B. | D, B, C only |
| C. | E, B, C only |
| D. | F, B/ C only |
| Answer» E. | |
| 158. |
Direction: Study the information given below and answer the question that follow: (i) A, B, C, D, E and F are six students in a class. (ii) B and C are shorter than F but heavier than A. (iii) D is heavier than B and taller than C. (iv) E is shorter than D but taller than F. (v) F is heavier than D. (vi) A is shorter than E but taller than F. Who is third from the top when they are arranged in descending order of heights? |
| A. | A |
| B. | B |
| C. | C |
| D. | E |
| Answer» B. B | |
| 159. |
Direction: Read the following statements carefully to answer these questions: I. X is older than L, II. M and N are of equal age. III. Z is the youngest. IV. Y is younger than N. V. Y is older than X. Which set of statements proves that X is younger than M? |
| A. | I, 11, IV |
| B. | 11, IV, V |
| C. | I, IV, V |
| D. | None of these |
| Answer» C. I, IV, V | |
| 160. |
Direction: Read the following statements carefully to answer these questions: I. X is older than L, II. M and N are of equal age. III. Z is the youngest. IV. Y is younger than N. V. Y is older than X. Which statement(s) is/are not required to prove that L is younger than M? |
| A. | III only |
| B. | III and IV |
| C. | IV and V |
| D. | III and V |
| Answer» B. III and IV | |
| 161. |
Direction: Read the following statements carefully to answer these questions: I. X is older than L, II. M and N are of equal age. III. Z is the youngest. IV. Y is younger than N. V. Y is older than X. Which statement(s) indicate(s) that N is older than Z? |
| A. | II and III |
| B. | III only |
| C. | III and IV |
| D. | None of these |
| Answer» C. III and IV | |
| 162. |
Direction: Study the given information carefully and answer the questions that follows: (i) Six friends P, Q, R, S, T and U are members of a club and play a different game of Football, Cricket, Tennis, Basketball, Badminton and Volleyball. (ii) T, who is taller than P and S, plays Tennis. (iii) The tallest among them plays Basketball. (iv) The shortest among them plays Volleyball. (v) Q and S neither play Volleyball nor Basketball. (vi) R plays Volleyball. (vii) T is between Q who plays Football and P in order of height. What does S play? |
| A. | Cricket |
| B. | Badminton |
| C. | Football |
| D. | Either Cricket or Badminton |
| Answer» E. | |
| 163. |
Direction: Study the given information carefully and answer the questions that follows: (i) Six friends P, Q, R, S, T and U are members of a club and play a different game of Football, Cricket, Tennis, Basketball, Badminton and Volleyball. (ii) T, who is taller than P and S, plays Tennis. (iii) The tallest among them plays Basketball. (iv) The shortest among them plays Volleyball. (v) Q and S neither play Volleyball nor Basketball. (vi) R plays Volleyball. (vii) T is between Q who plays Football and P in order of height. Which of the following statements is not true? |
| A. | P is shorter than R. |
| B. | Q is taller than S. |
| C. | S is taller than R. |
| D. | T is taller than R. |
| Answer» B. Q is taller than S. | |
| 164. |
Direction: Study the given information carefully and answer the questions that follows: (i) Six friends P, Q, R, S, T and U are members of a club and play a different game of Football, Cricket, Tennis, Basketball, Badminton and Volleyball. (ii) T, who is taller than P and S, plays Tennis. (iii) The tallest among them plays Basketball. (iv) The shortest among them plays Volleyball. (v) Q and S neither play Volleyball nor Basketball. (vi) R plays Volleyball. (vii) T is between Q who plays Football and P in order of height. Who will be at the third place if they are arranged in the descending order of their heights? |
| A. | Q |
| B. | P |
| C. | T |
| D. | S |
| Answer» D. S | |
| 165. |
Direction: Study the given information carefully and answer the questions that follows: (i) Six friends P, Q, R, S, T and U are members of a club and play a different game of Football, Cricket, Tennis, Basketball, Badminton and Volleyball. (ii) T, who is taller than P and S, plays Tennis. (iii) The tallest among them plays Basketball. (iv) The shortest among them plays Volleyball. (v) Q and S neither play Volleyball nor Basketball. (vi) R plays Volleyball. (vii) T is between Q who plays Football and P in order of height. Who among them is taller than R but shorter than P? |
| A. | Q |
| B. | T |
| C. | U |
| D. | S |
| Answer» E. | |
| 166. |
Direction: Read the following information carefully and answer the questions given below it. (i) A, B, C, D an E are five friends. (ii) B is elder to E, but not as tall as C. (iii) C is younger to A, and is taller to D and E. (iv) A is taller to D, but younger than E. (v) D is elder to A but is shortest in the group. If a selection is to be made among them who would be relatively older and also taller, who among them should be chosen? |
| A. | A |
| B. | B |
| C. | C |
| D. | D |
| Answer» C. C | |
| 167. |
Direction: Read the following information carefully and answer the questions given below it. (i) A, B, C, D an E are five friends. (ii) B is elder to E, but not as tall as C. (iii) C is younger to A, and is taller to D and E. (iv) A is taller to D, but younger than E. (v) D is elder to A but is shortest in the group. Which of the following statements is correct about B? (i) B is not the tallest. (ii) B is shorter to E. (iii) When they are asked to stand in ascending order with respect to their heights, B is in the middle. |
| A. | Only (i) is correct |
| B. | Only (i) and (ii) are correct |
| C. | All are correct |
| D. | All are incorrect |
| Answer» B. Only (i) and (ii) are correct | |
| 168. |
Direction: Read the following information carefully and answer the questions given below it. (i) A, B, C, D an E are five friends. (ii) B is elder to E, but not as tall as C. (iii) C is younger to A, and is taller to D and E. (iv) A is taller to D, but younger than E. (v) D is elder to A but is shortest in the group. Which of the following pairs of students is elder to D? |
| A. | BA |
| B. | BC |
| C. | BE |
| D. | Cannot be determined |
| Answer» E. | |
| 169. |
Direction: Read the following information carefully and answer the questions given below it. (i) A, B, C, D an E are five friends. (ii) B is elder to E, but not as tall as C. (iii) C is younger to A, and is taller to D and E. (iv) A is taller to D, but younger than E. (v) D is elder to A but is shortest in the group. Who among the following is the eldest? |
| A. | A |
| B. | B |
| C. | C |
| D. | B or D |
| Answer» E. | |
| 170. |
Direction: Read the following statements carefully to answer these questions: I. X is older than L, II. M and N are of equal age. III. Z is the youngest. IV. Y is younger than N. V. Y is older than X. Which two of the above statements indicate that Y is older than L? |
| A. | I and IV |
| B. | IV and V |
| C. | I and V |
| D. | III and IV |
| Answer» D. III and IV | |
| 171. |
What should be added to \[1+2x-3{{x}^{2}}\]to get\[{{x}^{2}}-x-1?\] |
| A. | \[~2{{x}^{2}}-\text{ }x+2\] |
| B. | \[~4{{x}^{2}}-3x-2\] |
| C. | \[{{x}^{2}}-3x-2\] |
| D. | \[2{{x}^{2}}-3x-2\] |
| Answer» C. \[{{x}^{2}}-3x-2\] | |
| 172. |
Find the value of \[{{(98)}^{2}}.\] |
| A. | 9608 |
| B. | 9680 |
| C. | 9604 |
| D. | 9898 |
| Answer» D. 9898 | |
| 173. |
Which of the following are NOT polynomials? (i) \[2{{x}^{2}}+12\sqrt{x}-5\] (ii) \[3{{x}^{8}}-10{{x}^{2}}+6{{x}^{5}}-5x-2\] (iii) \[7{{x}^{4}}-3{{x}^{3}}+\frac{10}{{{x}^{2}}}-6x+4\] (iv) \[8{{x}^{4}}-6{{x}^{2}}+10x-7\] |
| A. | Only (i) and (ii) |
| B. | Only (ii) and (iii) |
| C. | Only (i) and (iv) |
| D. | Only (ii) and (iv) |
| Answer» E. | |
| 174. |
lf\[x+y=7\]and \[xy=12\]find the value of \[{{x}^{2}}+{{y}^{2}}.\] |
| A. | 24 |
| B. | 25 |
| C. | 26 |
| D. | 23 |
| Answer» C. 26 | |
| 175. |
Find the volume of a cuboid \[2{{x}^{2}}y\,m\]long, \[3{{y}^{2}}z\,m\]broad and \[5x{{z}^{2}}m\]high. |
| A. | \[24{{x}^{2}}{{y}^{2}}{{z}^{2}}\] |
| B. | \[30{{x}^{3}}{{y}^{3}}{{z}^{3}}\] |
| C. | \[32{{x}^{2}}{{y}^{2}}{{z}^{2}}\] |
| D. | \[25{{x}^{2}}{{y}^{3}}{{z}^{3}}\] |
| Answer» C. \[32{{x}^{2}}{{y}^{2}}{{z}^{2}}\] | |
| 176. |
What is the simplified form of \[\frac{{{x}^{2}}+8x+16}{x+3}+\frac{2x+8}{{{x}^{2}}-9}?\] |
| A. | \[\frac{2{{(x+4)}^{2}}}{(x-3){{(x+3)}^{2}}}\] |
| B. | \[\frac{2(x+3)(x-3)}{x+4}\] |
| C. | \[\frac{(x+4)(x-3)}{2}\] |
| D. | \[\frac{(x+4){{(x-3)}^{2}}}{2(x+3)}\] |
| Answer» D. \[\frac{(x+4){{(x-3)}^{2}}}{2(x+3)}\] | |
| 177. |
Find the value of \[{{(10.1)}^{2}}.\] |
| A. | 102.10 |
| B. | 120.01 |
| C. | 120.10 |
| D. | 102.01 |
| Answer» E. | |
| 178. |
When is the expression \[f(x)={{a}_{0}}{{x}^{n}}+{{a}_{1}}{{x}^{n-1}}+{{a}_{2}}{{x}^{n-2}}+....+{{a}_{n-1}}x+{{a}_{n}}\]a polynomial of degree n? |
| A. | Only when n is a positive integer. |
| B. | If n is a negative integer and \[{{a}_{n}}\ne 0.\] |
| C. | If n is a positive integer and\[{{a}_{0}}\ne 0.\] |
| D. | If n is any integer. |
| Answer» C. If n is a positive integer and\[{{a}_{0}}\ne 0.\] | |
| 179. |
Find the value of \[\frac{pq-{{p}^{3}}q}{1-{{p}^{2}}}.\] |
| A. | q |
| B. | \[pq\] |
| C. | \[q(1+p)\] |
| D. | \[1-{{p}^{2}}\] |
| Answer» C. \[q(1+p)\] | |
| 180. |
What is the simplest form of \[1-[1-1-(1-1+x)]?\] |
| A. | \[2-x\] |
| B. | \[~1\text{ }+\text{ }x\] |
| C. | \[~1-x\] |
| D. | \[2+x\] |
| Answer» C. \[~1-x\] | |
| 181. |
Find the quotient when\[64{{a}^{2}}{{b}^{2}}{{c}^{3}}\]is divided by \[-16{{a}^{2}}{{b}^{2}}{{c}^{2}}.\] |
| A. | \[{{a}^{2}}c\] |
| B. | \[-2{{a}^{2}}c\] |
| C. | \[3{{a}^{2}}c\] |
| D. | \[-4{{a}^{2}}c\] |
| Answer» E. | |
| 182. |
Find the remainder obtained when \[{{x}^{3}}-3{{x}^{2}}-2x-5\]is divided by \[x+2.\] |
| A. | -5 |
| B. | 5 |
| C. | 0 |
| D. | -21 |
| Answer» E. | |
| 183. |
If \[A=5{{x}^{3}}-3{{x}^{2}}+2x-5\]and \[B=3{{x}^{3}}-{{x}^{2}}-x+2,\]find the value of \[A-B.\] |
| A. | \[8{{x}^{3}}-4{{x}^{2}}+x-3\] |
| B. | \[2{{x}^{3}}+{{x}^{2}}-3x+7\] |
| C. | \[8{{x}^{3}}-4{{x}^{2}}+x-3\] |
| D. | \[2{{x}^{3}}-2{{x}^{2}}+3x-7\] |
| Answer» E. | |
| 184. |
Find the perimeter of the following triangle. |
| A. | \[6x+3y+2z\] |
| B. | \[4x-y-2z\] |
| C. | \[5x-3y-2z\] |
| D. | \[7x-10y+7z\] |
| Answer» E. | |
| 185. |
Find the value of\[5{{a}^{2}}(a-2)-8(a+5)+16,\]when \[a=2.\] |
| A. | 40 |
| B. | -40 |
| C. | 0 |
| D. | 20 |
| Answer» D. 20 | |
| 186. |
In the product\[(x+1)(x+2)(x+3),\] what is the coefficient of\[x?\] |
| A. | 6 |
| B. | 12 |
| C. | 11 |
| D. | 10 |
| Answer» D. 10 | |
| 187. |
The length and width of a rectangle are d cm and (d - 8) cm respectively. What is the perimeter of the rectangle? |
| A. | 4d - 16 cm |
| B. | 2d - 8 cm |
| C. | 2d + 8 cm |
| D. | 8d - 18 cm |
| Answer» B. 2d - 8 cm | |
| 188. |
Find the value of \[37\times 43\]. |
| A. | 1591 |
| B. | 1221 |
| C. | 3191 |
| D. | 2021 |
| Answer» B. 1221 | |
| 189. |
Which is the correct factorization of \[{{x}^{2}}-5x-14?\] |
| A. | \[(x-2)(x-7)\] |
| B. | \[(x-2)(x+7)\] |
| C. | \[(x+2)(x-7)\] |
| D. | \[(x-1)(x+14)\] |
| Answer» D. \[(x-1)(x+14)\] | |
| 190. |
Find the area of a rectangular field (a + 7) m long and (a - 2) m wide. |
| A. | \[\text{(}{{a}^{2}}-5a-14\text{) }sq.\text{ }m\] |
| B. | \[\text{(}{{a}^{2}}+9a+14\text{) }sq.\text{ }m\] |
| C. | \[\text{(}{{a}^{2}}-9a-14\text{) }sq.\text{ }m\] |
| D. | \[({{a}^{2}}+5a-14)\text{ }sq.\text{ }m\] |
| Answer» E. | |
| 191. |
What is the simplified form of \[\frac{4}{11}(66f+44)+\frac{3}{11}(33f-33)?\] |
| A. | 22f + 8 |
| B. | 11f - 3 |
| C. | 33f + 7 |
| D. | 44f + 8 |
| Answer» D. 44f + 8 | |
| 192. |
Simplify \[(1+x)(1+{{x}^{2}})(1+{{x}^{4}})(1+{{x}^{8}})(1-x).\] |
| A. | \[1+{{x}^{16}}\] |
| B. | \[1-{{x}^{16}}\] |
| C. | \[{{x}^{16}}-1\] |
| D. | \[{{x}^{8}}+1\] |
| Answer» C. \[{{x}^{16}}-1\] | |
| 193. |
What should be taken away from \[3{{x}^{2}}-4{{y}^{2}}+5xy+20\]to get \[-{{x}^{2}}-{{y}^{2}}+6xy-20?\] |
| A. | \[2{{x}^{2}}-5{{y}^{2}}+11xy+40\] |
| B. | \[4{{x}^{2}}-3{{y}^{2}}-xy+40\] |
| C. | \[2{{x}^{2}}-3{{y}^{2}}-xy+20\] |
| D. | \[4{{x}^{2}}-3{{y}^{2}}-11xy-40\] |
| Answer» C. \[2{{x}^{2}}-3{{y}^{2}}-xy+20\] | |
| 194. |
Name a polynomial containing two terms. |
| A. | Monomial |
| B. | Binomial |
| C. | Trinomial |
| D. | Biquadratic polynomial |
| Answer» C. Trinomial | |
| 195. |
Find the factors A and B of \[{{x}^{2}}+10x+21\]in the form AB. |
| A. | (x - 3) (x - 7) |
| B. | (x + 3) (x + 7) |
| C. | (x - 3) (x + 7) |
| D. | (x + 3) (x,-7) |
| Answer» C. (x - 3) (x + 7) | |
| 196. |
Find the value of \[\frac{{{(469+174)}^{2}}-{{(469-174)}^{2}}}{469\times 174}.\] |
| A. | 2 |
| B. | 4 |
| C. | 295 |
| D. | 643 |
| Answer» C. 295 | |
| 197. |
Find the value of \[{{(175+125)}^{2}}-4\times 175\times 125.\] |
| A. | 1225 |
| B. | 2500 |
| C. | 1600 |
| D. | 2025 |
| Answer» C. 1600 | |
| 198. |
A rectangular field is 120 m in length and 60 m in breadth. Two paths of 10 m width each and parallel to the length and breadth are laid in its centre. What is the total area of the path? |
| A. | 1.7 area |
| B. | \[1700\,{{m}^{2}}\] |
| C. | \[1.7\,m{{m}^{2}}\] |
| D. | \[1800\,{{m}^{2}}\] |
| Answer» C. \[1.7\,m{{m}^{2}}\] | |
| 199. |
If the perimeter of an isosceles right triangle is \[(6+3\sqrt{2})m,\] find its area. |
| A. | \[3.2\text{ }{{m}^{2}}\] |
| B. | \[4.8\text{ }{{m}^{2}}\] |
| C. | \[~4.5\text{ }{{m}^{2}}\] |
| D. | \[~6.4\text{ }{{m}^{2}}\] |
| Answer» D. \[~6.4\text{ }{{m}^{2}}\] | |
| 200. |
The radius of a wheel is 0.25 m. How many revolutions does it make to travel a distance of 11 km? |
| A. | 8000 |
| B. | 9000 |
| C. | 7000 |
| D. | 6000 |
| Answer» D. 6000 | |