MCQOPTIONS
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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.
| 251. |
For which of the following, diagonals bisect each other? |
| A. | Square |
| B. | Kite |
| C. | Trapezium |
| D. | Quadrilateral |
| Answer» B. Kite | |
| 252. |
Which of the following is true of adjacent angles of a parallelogram? |
| A. | Equality |
| B. | Complementary |
| C. | Supplementary |
| D. | Inequality |
| Answer» D. Inequality | |
| 253. |
A diagonal and a side of a rhombus are of equal length. Find the measure of the angles of the rhombus. |
| A. | \[{{60}^{{}^\circ }},{{120}^{{}^\circ }},{{60}^{{}^\circ }},{{120}^{{}^\circ }}\] |
| B. | \[{{45}^{{}^\circ }},{{45}^{{}^\circ }},{{135}^{{}^\circ }},{{135}^{{}^\circ }}\] |
| C. | \[{{85}^{{}^\circ }},{{95}^{{}^\circ }},{{85}^{{}^\circ }},{{95}^{{}^\circ }}\] |
| D. | \[{{80}^{{}^\circ }},{{100}^{{}^\circ }},{{80}^{{}^\circ }},{{100}^{{}^\circ }}\] |
| Answer» B. \[{{45}^{{}^\circ }},{{45}^{{}^\circ }},{{135}^{{}^\circ }},{{135}^{{}^\circ }}\] | |
| 254. |
Which of the following is a regular polygon? |
| A. | Parallelogram |
| B. | Rectangle |
| C. | Square |
| D. | Rhombous |
| Answer» D. Rhombous | |
| 255. |
The angles of quadrilateral are in the ratio 2 : 3 : 5 : 8. The smallest angle is |
| A. | \[60{}^\circ \] |
| B. | \[40{}^\circ \] |
| C. | \[{{20}^{{}^\circ }}\] |
| D. | \[{{50}^{{}^\circ }}\] |
| Answer» C. \[{{20}^{{}^\circ }}\] | |
| 256. |
If the area of trapezium PQRS is 100 cm2, find the value of\['x'\]. |
| A. | 6 cm |
| B. | 8 cm |
| C. | 10 cm |
| D. | 12 cm |
| Answer» E. | |
| 257. |
Which of the following statements is true about the construction of a quadrilateral where AB = 3 cm, BC = 5 cm, AC = 9 cm, AD = 6 cm. CD =2 cm? |
| A. | It is possible to draw the quadrilateral. |
| B. | It is not possible to draw the quadrilateral, since \[AD\div DC<AC\]. |
| C. | It is possible to draw the quadrilateral, since\[AD+DC<AC\] |
| D. | None of these |
| Answer» C. It is possible to draw the quadrilateral, since\[AD+DC<AC\] | |
| 258. |
To construct a kite, which of the following is necessary? |
| A. | Two adjacent unequal sides and included diagonal |
| B. | Two adjacent equal sides and included diagonal |
| C. | Length of opposite sides |
| D. | None of these |
| Answer» B. Two adjacent equal sides and included diagonal | |
| 259. |
Given below are the steps of construction of a quadrilateral ABCD, where AB = 3.5 cm, BC = 6.5 cm, \[\angle A=75{}^\circ \], \[\angle B=105{}^\circ \]and\[\angle C=120{}^\circ \]. Which of the following steps is INCORRECT? Step 1: Draw AB= 3.5cm. Step 2: Draw \[\angle XAB\text{ }=\text{ }75{}^\circ \] at A and \[\angle ABY=105{}^\circ \] at \[B\]. Step 3: With B as centre and radius\[BC=6.5\text{ }cm\], draw an arc to intersect BV at C. Stap4: At C, draw \[\angle ADC\text{ }=\text{ }120{}^\circ \]such that \[CZ\] meets AX at D. |
| A. | Step 1 only |
| B. | Step 2 only |
| C. | Step 3 only |
| D. | Step 4 only |
| Answer» E. | |
| 260. |
If AB||DC, AB=7cm, BC=6cm, AD=6.5cm and\[\angle B=70{}^\circ \], then which figure can be constructed? |
| A. | Square |
| B. | Trapezium |
| C. | Rhombus |
| D. | Rectangle |
| Answer» C. Rhombus | |
| 261. |
Arrange the steps of construction while constructing a quadrilateral ABCD given AB = 5.1 cm, AO = 4 cm, BC = 2.5 cm, \[\angle A=60{}^\circ \] and \[\angle B=85{}^\circ .\] Step 1: With B as centre and radius 2.5 cm, cut off BC = 2.5 cm along BY. Step 2 : Construct \[\angle XAB=60{}^\circ \] at A. Step 3: Join\[CD\]. Step 4: With A as centre and radius 4cm, cut off AD =4 cm along AX. Step 5: Draw \[\text{AB=5}\text{.1 cm}\]. Step 6: Construct \[\angle ABY=85{}^\circ \] at \[B\]. |
| A. | 5, 2, 4, 1, 3, 6 |
| B. | 5, 4, 2, 1. 6, 3 |
| C. | 5, 2, 4, 6, 1, 3 |
| D. | 5, 2, 4, 1, 6, 3 |
| Answer» D. 5, 2, 4, 1, 6, 3 | |
| 262. |
Arrange the steps of construction while constructing a parallelogram ABCD, given that\[\text{AB = 5 cm}\], \[BC\text{ = }4\text{ }cm\]and\[\angle B=60{}^\circ \]. 1. With A as centre and radius equal to 4 cm, draw an arc cutting AY at D. 2. At A, draw \[\angle YAB=\text{ }120{}^\circ \]. \[[\because A+B=180{}^\circ ]\] 3. At B, draw \[\angle XBA=60{}^\circ \]. 4. Draw \[AB=5cm\]. 5. Join CD. 6. With B as centre and radius equal to 4 cm, drawn an arc cutting BX at C. |
| A. | 4, 3, 6, 2, 1, 5 |
| B. | 4, 3, 2, 6, 5, 1 |
| C. | 4, 6, 3, 1, 2, 5 |
| D. | 4, 3, 6, 2, 5, 1 |
| Answer» B. 4, 3, 2, 6, 5, 1 | |
| 263. |
It is possible to construct a quadrilateral with the sufficient data (other than five simple cases), where less than ____ parts but some other relations between them are given. |
| A. | Four |
| B. | Five |
| C. | Three |
| D. | Two |
| Answer» C. Three | |
| 264. |
Which of the following steps is INCORRECT while constructing a rhombus ABCD, given that AC = 8 cm and BD = 6 cm? Step 1: Draw\[\text{AC=8 cm}\]. Step 2: Draw PQ, the perpendicular of AC. PQ intersects AC at point O. Step 3: With O as centre and radius equal to 3 cm, drawn an arc cutting OP at D. Step 4: With O as centre and radius equal to 3 cm, draw another arc cutting OQ at B. Step 5: Join AB, BC, CD and DA. |
| A. | Step 2 only |
| B. | Step 3 only |
| C. | Step 4 only |
| D. | Both Step 2 and Step 5 |
| Answer» B. Step 3 only | |
| 265. |
Arrange the steps (i) to (iv) in correct order, while constructing a parallelogram ABCD, given\[\overline{AB}=6\text{ }cm\], \[\overline{AD}=4\text{ }cm\], and diagonal\[\overline{BD}=3\text{ }cm\]. Step 1: Draw \[\overline{AB}=6\text{ }cm\] Step (i): Join \[\overline{AD}\] and\[\overline{BD}\]. Step (ii): With A as centre, draw an arc of radius 4 cm. Step (iii): With B and D as centres and with 4 cm and 6 cm as radii, respectively, draw arcs to cut each other at C. Step (iv): With B as centre, draw an arc of radius 3 cm to cut the arc drawn in step (ii) at point D. Step 6 : Join \[\overline{\text{CD}}\] and\[\overline{BC}\], ABCD is the required parallelogram. |
| A. | (ii), (iv), (iii), (i) |
| B. | (iii), (ii), (v), (iv) |
| C. | (ii), (iv), (i), (iii) |
| D. | None of these |
| Answer» B. (iii), (ii), (v), (iv) | |
| 266. |
Match the following. Column - I Column - II (P) Construction of a quadrilateral can be possible if at least (1) two unequal sides and included diagonal are given (Q) Construction of quadrilateral must satisfy (2) Five independent elements are given (R) A kite can be drawn if its (3) 4 sides, 4 angles and 2 diagonals (S) A quadrilateral has (4) triangle inequality and angle sum property of a triangle. |
| A. | P Q R S 3 2 4 1 |
| B. | P Q R S 3 4 2 1 |
| C. | P Q R S 2 4 1 3 |
| D. | P Q R S 4 3 1 2 |
| Answer» D. P Q R S 4 3 1 2 | |
| 267. |
Which of the given properties of a parallelogram is necessary to construct it? |
| A. | Opposite sides of a parallelogram |
| B. | Opposite angles of a parallelogram |
| C. | Diagonals of a parallelogram |
| D. | Both (a) and (b) |
| Answer» E. | |
| 268. |
A 5-digit number xy235 is divisible by 3 such that \[x+y |
| A. | (1, 1) or (4, 0) |
| B. | (1, 1) or (2, 0) |
| C. | (1, 1) or (0, 2) |
| D. | (2, 0) or (0, 2) |
| Answer» C. (1, 1) or (0, 2) | |
| 269. |
\[32+m\] is a prime number. What is the least value of 'm'? |
| A. | \[3\] |
| B. | \[5\] |
| C. | \[6\] |
| D. | \[4\] |
| Answer» C. \[6\] | |
| 270. |
If in a number, difference between the sum of digits at its odd places and that of digits at the even places is given 0, then the number is divisible by _____. |
| A. | 7 |
| B. | 9 |
| C. | 5 |
| D. | 11 |
| Answer» E. | |
| 271. |
Which number is divisible by 6? |
| A. | \[213\] |
| B. | \[468\] |
| C. | \[621\] |
| D. | \[573\] |
| Answer» B. \[468\] | |
| 272. |
If a number is divisible by 9, it is also divisible by which number? |
| A. | \[3\] |
| B. | \[6\] |
| C. | \[2\] |
| D. | \[4\] |
| Answer» B. \[6\] | |
| 273. |
Given that the number 148101a095 is divisible by 11, where a is single digit number, what are the possible values of a? |
| A. | 4 |
| B. | 1 |
| C. | 7 |
| D. | 9 |
| Answer» B. 1 | |
| 274. |
By which of the following numbers is 477 not divisible? |
| A. | \[3\] |
| B. | \[7\] |
| C. | \[53\] |
| D. | \[9\] |
| Answer» C. \[53\] | |
| 275. |
Which of the given statements is false? |
| A. | 47 is the largest prime between the numbers 1 and 50. |
| B. | 89 is the only prime between 85 and 95. |
| C. | 99 is the largest composite number less than 100. |
| D. | There are 10 prime numbers between 1 and 20. |
| Answer» E. | |
| 276. |
Suppose that the division \[N\div 5\] leaves a remainder of 4 and the division \[\text{N}\div 2\] leaves a remainder of 1. What must be the ones digit of N? |
| A. | 7 |
| B. | 3 |
| C. | 9 |
| D. | 4 |
| Answer» D. 4 | |
| 277. |
When is a number always divisible by 90? |
| A. | If it is divisible by both 2 and 45. |
| B. | If it is not divisible by both 5 and 18. |
| C. | If it is not divisible by both 9 and 10. |
| D. | If it is divisible by 3 and 20. |
| Answer» B. If it is not divisible by both 5 and 18. | |
| 278. |
M is a composite number between 70 and 90. Which of the following is the greatest possible value of M? |
| A. | \[70\] |
| B. | \[88\] |
| C. | \[72\] |
| D. | \[90\] |
| Answer» C. \[72\] | |
| 279. |
X is a prime number greater than 50 but less than 70. What is the greatest possible value of X? |
| A. | \[53\] |
| B. | \[61\] |
| C. | \[67\] |
| D. | \[59\] |
| Answer» D. \[59\] | |
| 280. |
In the product \[BA\times B3=57A,\]what are the respective positional values of B and A? |
| A. | \[6,7\] |
| B. | \[5,2\] |
| C. | \[7,4\] |
| D. | \[2,5\] |
| Answer» E. | |
| 281. |
Which is the expanded form of 407? |
| A. | \[4\times 100+7\times 10\] |
| B. | \[4\times 100+0\times 10+7\times 1\] |
| C. | \[4\times 10+7\] |
| D. | \[4\times 10+0\times 10+7\times 1\] |
| Answer» C. \[4\times 10+7\] | |
| 282. |
Which of the following integers has the most divisors? |
| A. | \[88\] |
| B. | \[91\] |
| C. | \[99\] |
| D. | \[101\] |
| Answer» B. \[91\] | |
| 283. |
Which of the following is the usual form of\[100\times 8+10\times 5+9\]? |
| A. | \[985\] |
| B. | \[895\] |
| C. | \[809\] |
| D. | \[~859\] |
| Answer» E. | |
| 284. |
If \[X+X+X=YX\] find the respective values of X and Y. |
| A. | \[6,1\] |
| B. | \[5,1\] |
| C. | \[1,5\] |
| D. | \[1,6\] |
| Answer» C. \[1,5\] | |
| 285. |
If \[\underline{\begin{align} & \underline{\begin{align} & \text{ 1 A} \\ & \times \text{ A} \\ \end{align}} \\ & \,\,B\text{ 6} \\ \end{align}}\], where A and B are single digit numbers, such that B - A = 3, then the values of A and B respectively are _____. |
| A. | 4, 5 |
| B. | 9, 6 |
| C. | 5, 4 |
| D. | 6, 9 |
| Answer» E. | |
| 286. |
Which is the least number of 4 digits that is exactly divisible by 13? |
| A. | \[1052\] |
| B. | \[1039\] |
| C. | \[1032\] |
| D. | \[1001\] |
| Answer» E. | |
| 287. |
X is the sum of the digits of a 3 digit number subtracted from the number. Which of the following is true? |
| A. | X is divisible by 5. |
| B. | X is not divisible by 6. |
| C. | X is divisible by 9. |
| D. | X is not divisible by 9. |
| Answer» D. X is not divisible by 9. | |
| 288. |
Find the value of P, Q, R and S respectively. \[\begin{align} & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,R\,\,S \\ & \,\,\,\,\,\,\,\,\,\,Q\,\,R\,\,S \\ & \underset{\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_}{\mathop{\underset{1\,\,\,\,\,\,9\,\,\,\,\,8\,\,\,\,\,9}{\mathop{\underset{\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_}{\mathop{+\,\,\,Q\,\,P\,\,R\,\,S}}\,}}\,}}\, \\ \end{align}\] |
| A. | \[6,1,7,3\] |
| B. | \[1,7,3,6\] |
| C. | \[7,1,6.3\] |
| D. | \[1,6,3,7\] |
| Answer» D. \[1,6,3,7\] | |
| 289. |
Find the value of P, Q, R and S respectively. \[\begin{align} & P\,\,Q\,\,R\,\,S \\ & \underset{\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_}{\mathop{\underset{S\,\,R\,\,Q\,\,P}{\mathop{\underset{\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_}{\mathop{\,\,\,\,\,\,\,\,\,\,\times 9}}\,}}\,}}\, \\ \end{align}\] |
| A. | \[1,0,8,9\] |
| B. | \[8,1,0,9\] |
| C. | \[1,0,9,8\] |
| D. | \[1,9,0,8\] |
| Answer» B. \[8,1,0,9\] | |
| 290. |
What is the remainder when the sum of three consecutive even integers is divided by 6? |
| A. | \[4\] |
| B. | \[1\] |
| C. | \[0\] |
| D. | \[3\] |
| Answer» D. \[3\] | |
| 291. |
If 'q' is an integer between 50 and 70 which can be expressed as \[7j+3,\]for some integer j what is a possible value of 'q'? |
| A. | \[59\] |
| B. | \[53\] |
| C. | \[64\] |
| D. | \[68\] |
| Answer» B. \[53\] | |
| 292. |
The remainder when x' is divided by 5 equals the remainder when x' is divided by 4. Which of the following could not be a value of ?x'? |
| A. | \[20\] |
| B. | \[24\] |
| C. | \[21\] |
| D. | \[22\] |
| Answer» C. \[21\] | |
| 293. |
If a, b, c and d are consecutive multiples of 5 and \[a |
| A. | \[100\] |
| B. | \[-100\] |
| C. | \[25\] |
| D. | \[-25\] |
| Answer» C. \[25\] | |
| 294. |
The greatest value that must be given to x so that the number \[7713x8\] is divisible by 4 is______. |
| A. | 1 |
| B. | 6 |
| C. | 8 |
| D. | 7 |
| Answer» D. 7 | |
| 295. |
If 'n' is an even integer, which of the following must be an odd integer? |
| A. | \[3n-2\] |
| B. | \[n-2\] |
| C. | \[3(n+1)\] |
| D. | \[\frac{n}{3}\] |
| Answer» D. \[\frac{n}{3}\] | |
| 296. |
When W is divided by 5, the remainder is 4. When 'n' is divided by 4, the remainder is 3. If \[0 |
| A. | \[9\] |
| B. | \[14\] |
| C. | \[19\] |
| D. | \[24\] |
| Answer» D. \[24\] | |
| 297. |
The units digit of a two digit number is 3 times the tens digit. If the digits are reversed, the resulting number is 36 more than the original number. What is the original number? |
| A. | \[26\] |
| B. | \[36\] |
| C. | \[93\] |
| D. | \[39\] |
| Answer» B. \[36\] | |
| 298. |
If \[a-b\] is a multiple of 1, which of the following is also a multiple of 7? |
| A. | \[b-a\] |
| B. | \[ab\] |
| C. | \[a+b\] |
| D. | \[\frac{a+b}{2}\] |
| Answer» B. \[ab\] | |
| 299. |
\[{{x}^{2}}+x+11\]is a prime number. Which of the following is not a value of 'x'? |
| A. | \[1\] |
| B. | \[3\] |
| C. | \[4\] |
| D. | \[2\] |
| Answer» C. \[4\] | |
| 300. |
Identify a factor of 261111. |
| A. | \[8\] |
| B. | \[3\] |
| C. | \[4\] |
| D. | \[2\] |
| Answer» C. \[4\] | |