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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.
| 401. |
\[ad,bc\in I,bc\ne 0\] is an example of |
| A. | Closure property |
| B. | Commutative property |
| C. | Associative property |
| D. | distributive property |
| Answer» E. | |
| 402. |
Match column I with column II and select the correct answer using the code given below the columns: Column-I Column-II A. An irrational number between \[\sqrt{2}\] and \[\sqrt{3}\] is (p) \[\frac{52}{125}\] B. Value of 0.424 is (q) \[2-\sqrt{3}\] C. If \[\sqrt{3}=1.732,\] then (r) \[\frac{\sqrt{2}+\sqrt{3}}{2}\]value of \[(2+\sqrt{3})\]is D. Rationalising factor of \[(2+\sqrt{3})\] is (s) 3732 |
| A. | \[\text{A}-\left( \text{s} \right),\text{B}-\left( \text{q} \right),\text{C}-\left( \text{r} \right),\text{D}-\left( \text{p} \right)\] |
| B. | \[\text{A}-\left( \text{r} \right),\text{B}-\left( \text{p} \right),\text{C}-\left( \text{s} \right),\text{D}-\left( \text{q} \right)\] |
| C. | \[\text{A}-\left( \text{q} \right),\text{B}-\left( \text{r} \right),\text{C}-\left( \text{s} \right),\text{D}-\left( \text{p} \right)\] |
| D. | \[\text{A}-\left( \text{r} \right),\text{B}-\left( \text{s} \right),\text{C}-\left( \text{p} \right),\text{D}-\left( \text{q} \right)\] |
| Answer» C. \[\text{A}-\left( \text{q} \right),\text{B}-\left( \text{r} \right),\text{C}-\left( \text{s} \right),\text{D}-\left( \text{p} \right)\] | |
| 403. |
Which of the following statement is false? |
| A. | Every fraction is a rational number |
| B. | Every rational number is a fraction |
| C. | Every integer is a rational number |
| D. | All the above |
| Answer» C. Every integer is a rational number | |
| 404. |
If x and y are two rational numbers, then which of the following statements is wrong? |
| A. | \[|x+y|\,\le \,|x|+|y|\] |
| B. | \[|x\times y|\,=\,|x|\times |y|\] |
| C. | \[|x-y|\,\le \,|x|-|y|\] |
| D. | None of these |
| Answer» D. None of these | |
| 405. |
Which of the following statement is true? |
| A. | Every whole number is a natural number |
| B. | Every natural number is a whole number |
| C. | '1' is the least whole number |
| D. | None of these |
| Answer» C. '1' is the least whole number | |
| 406. |
Which of the following statements is correct? |
| A. | 0 is called the additive identity for rational numbers, |
| B. | 1 is called the multiplicative identity for rational numbers. |
| C. | The additive inverse of 0 is zero itself. |
| D. | All the above |
| Answer» E. | |
| 407. |
The property represented by \[N\subseteq W\] is |
| A. | Associative property |
| B. | Commutative property |
| C. | Closure property |
| D. | Additive identity |
| Answer» C. Closure property | |
| 408. |
If\[0.1\overline{27}=\frac{127-1}{990}=\frac{7}{55}\]then the value of\[W=N\cup \{0\}\]is |
| A. | 193 |
| B. | 194 |
| C. | 195 |
| D. | 196 |
| Answer» C. 195 | |
| 409. |
If \[0.\overline{3}=3/9\], then the value of \[1/3\]is |
| A. | 34 |
| B. | 35 |
| C. | 36 |
| D. | 37 |
| Answer» B. 35 | |
| 410. |
Smallest 6-digit number that can be formed by the digits 9,6,0,5,8,1 is |
| A. | 0,15,689 |
| B. | 1,05,689 |
| C. | 5,01,689 |
| D. | 9,86,510 |
| Answer» C. 5,01,689 | |
| 411. |
The two missing numbers shown with asterisk in the equation\[5\frac{3}{*}\times *\frac{1}{2}=19\]are |
| A. | 6, 3 |
| B. | 7, 3 |
| C. | 8, 3 |
| D. | 11, 3 |
| Answer» C. 8, 3 | |
| 412. |
The least perfect square exactly divisible by each of the numbers 6, 9, 15 and 20 is |
| A. | 3600 |
| B. | 900 |
| C. | 400 |
| D. | 225 |
| Answer» C. 400 | |
| 413. |
In numbers from 1 to 100 the digit "0" appears____ times. |
| A. | 9 |
| B. | 10 |
| C. | 11 |
| D. | 12 |
| Answer» D. 12 | |
| 414. |
DIRECTIONS: In the following questions, numbers have been arranged according the same general pattern. Find the missing number in each. Find the value of X in the following figure: |
| A. | 3 |
| B. | 4 |
| C. | 8 |
| D. | 12 |
| Answer» C. 8 | |
| 415. |
DIRECTIONS: In each of the following questions, a matrix of certain characters is given. These characters follows a certain trend, row-wise or column wise Find out this trend and choose the missing character from the given alternatives. 72 24 7 96 16 12 108 ? 18 |
| A. | 12 |
| B. | 16 |
| C. | 18 |
| D. | 20 |
| Answer» B. 16 | |
| 416. |
DIRECTIONS: In each of the following questions, a matrix of certain characters is given. These characters follows a certain trend, row-wise or column wise Find out this trend and choose the missing character from the given alternatives. 23 529 1024 21 441 144 19 361 ? |
| A. | 1441 |
| B. | 3529 |
| C. | 8281 |
| D. | 9361 |
| Answer» D. 9361 | |
| 417. |
What numbers should replace the question mark? |
| A. | 4, 2 and 12 |
| B. | 5, 11 and 17 |
| C. | 10, 9 and 4 |
| D. | 5, 3 and 2 |
| Answer» B. 5, 11 and 17 | |
| 418. |
What four digits should appear in the middle section? |
| A. | 9589 |
| B. | 5432 |
| C. | 145 |
| D. | 1721 |
| Answer» B. 5432 | |
| 419. |
What number should replace the question mark? 4322 : 48 4172: 56 7615: ? |
| A. | 336 |
| B. | 210 |
| C. | 49 |
| D. | 52 |
| Answer» C. 49 | |
| 420. |
DIRECTIONS: Find the missing character in each of the following questions. 5 9 7 4 5 3 1 6 8 40 100 ? |
| A. | 70 |
| B. | 60 |
| C. | 50 |
| D. | 80 |
| Answer» D. 80 | |
| 421. |
DIRECTIONS: Find the missing character in each of the following questions. 7 9 21 27 4 2 36 18 9 4 54 ? |
| A. | 18 |
| B. | 24 |
| C. | 36 |
| D. | 48 |
| Answer» C. 36 | |
| 422. |
DIRECTIONS: Find the missing character in each of the following questions. 13 54 ? 7 45 32 27 144 68 |
| A. | 42 |
| B. | 36 |
| C. | 6 |
| D. | 4 |
| Answer» E. | |
| 423. |
DIRECTIONS: Find the missing character in each of the following questions. 5 26 1 9 84 3 11 ? 5 |
| A. | 146 |
| B. | 116 |
| C. | 126 |
| D. | 136 |
| Answer» D. 136 | |
| 424. |
DIRECTIONS: Find the missing character in each of the following questions. 3 6 9 5 8 20 4 7 ? |
| A. | 11 |
| B. | 14 |
| C. | 28 |
| D. | 12 |
| Answer» C. 28 | |
| 425. |
DIRECTIONS: Find the missing character in each of the following questions. 5 3 16 9 5 46 7 8 ? |
| A. | 16 |
| B. | 56 |
| C. | 55 |
| D. | 57 |
| Answer» E. | |
| 426. |
DIRECTIONS: Find the missing character in each of the following questions. Z ? S R O ? ? G C |
| A. | WJK |
| B. | KWT |
| C. | WKJ |
| D. | JKW |
| Answer» D. JKW | |
| 427. |
DIRECTIONS: Find the missing character in each of the following questions. 6 9 15 8 12 20 4 6 ? |
| A. | 5 |
| B. | 10 |
| C. | 15 |
| D. | 21 |
| Answer» C. 15 | |
| 428. |
DIRECTIONS: Find the missing character in each of the following questions. 1 12 10 15 2 ? 8 5 3 |
| A. | 9 |
| B. | 11 |
| C. | 4 |
| D. | 6 |
| Answer» D. 6 | |
| 429. |
13 \[4\frac{1}{4}\] \[6\frac{3}{4}\] A B 8 \[5\frac{1}{2}\] Complete above magic square so that the rows, columns, diagonals-all add to the same number and then find A+B |
| A. | \[20\frac{3}{4}\] |
| B. | 20 |
| C. | \[20\frac{1}{4}\] |
| D. | None |
| Answer» C. \[20\frac{1}{4}\] | |
| 430. |
The diagram below is a ?magic square? in which all rows and columns and both diagonals add up to 34. Find xy 1 8 13 12 14 4 x 16 y 15 |
| A. | 77 |
| B. | 60 |
| C. | 45 |
| D. | 63 |
| Answer» B. 60 | |
| 431. |
Directions: In each of the following questions, a matrix of certain characters is given. These characters follows a certain trend, row-wise or column wise Find out this trend and choose the missing character from the given alternatives. In the matrix given below, the value of A, B, and C are |
| A. | A = 13, B = 11, C = 9 |
| B. | A = 13, B = 9, C = 11 |
| C. | A = 9, B = 11, C = 13 |
| D. | A = 9, B = 13, C = 11 |
| Answer» E. | |
| 432. |
Which number should replace the question mark? |
| A. | 45 |
| B. | 30 |
| C. | 52 |
| D. | 18 |
| Answer» C. 52 | |
| 433. |
Directions: In each of the following questions, a matrix of certain characters is given. These characters follows a certain trend, row-wise or column wise Find out this trend and choose the missing character from the given alternatives. |
| A. | 4 |
| B. | 8 |
| C. | 12 |
| D. | 16 |
| Answer» C. 12 | |
| 434. |
A hollow sphere of internal and external radii respectively, 2cm and 4cm is melted into a solid cone of base radius 4 cm. Find the height of the cone. |
| A. | 12cm |
| B. | 7cm |
| C. | 14cm |
| D. | 21cm |
| Answer» D. 21cm | |
| 435. |
It is required to construct a conical circus tent of radius 21 m and 35m slant height. The width of the canvas cloth is 3 metres. What will be the length of the cloth which shall do the needful? |
| A. | 700m |
| B. | 1250m |
| C. | 776.5m |
| D. | 770m |
| Answer» E. | |
| 436. |
A water tank whose dimensions are 1.5 m, 0.75 m and 0.48 m is fall. Its contents are emptied into another empty tank whose base area is\[1\,{{m}^{2}}\]. How much the water level shall rise? |
| A. | 64m |
| B. | 0.54m |
| C. | 5.4cm |
| D. | 0.34cm |
| Answer» C. 5.4cm | |
| 437. |
The circumference of a circle is 100 cm. What is the largest side of a square inscribed in the circle? |
| A. | \[AB\times DL=BC\times DM\] |
| B. | \[18\times DL=12\times 10\] |
| C. | \[DL=\frac{12\times 10}{18}=\frac{20}{3}=6\frac{2}{3}cm,\] |
| D. | \[=2\pi \times 42=84\pi cm.\] |
| Answer» C. \[DL=\frac{12\times 10}{18}=\frac{20}{3}=6\frac{2}{3}cm,\] | |
| 438. |
A right circular cylinder and a right circular cone have equal bases and equal heights. If their curved surface areas are in the ratio 8 : 5, what is the ratio of their base to their heights? |
| A. | 3:4 |
| B. | 0.211111111111111 |
| C. | 6:7 |
| D. | 0.380555555555556 |
| Answer» B. 0.211111111111111 | |
| 439. |
Three cubes whose edges are 3 cm, 4 cm and 5 cm respectively are melted to form a single cube. Find the surface area of the new cube. |
| A. | \[\Rightarrow \] |
| B. | \[r=12cm.\] |
| C. | \[(12\times 8-5\times 3)Sq.m\] |
| D. | \[96-15=81sqm\] |
| Answer» E. | |
| 440. |
A tent is in the form of a right circular cylinder surmounted by a cone. The diameter of cylinder is 24 m, the height of the cylindrical portion is 11 m, while the vertex of the cone is 16 m above the ground. The area of the canvas required for the tent is: |
| A. | \[\Rightarrow \] |
| B. | \[\frac{r}{21-r}=\frac{4}{3}\] |
| C. | \[\Rightarrow \] |
| D. | \[3r=84-4r\] |
| Answer» B. \[\frac{r}{21-r}=\frac{4}{3}\] | |
| 441. |
An athletic track 14m wide consists of two straight sections 130m long joining semicircular ends whose inner radius in 3.5m. The area of the shaded region is: |
| A. | \[=\frac{4}{3}\pi {{r}^{3}}=\frac{4}{3}\pi \times {{\left( \frac{x}{4\pi } \right)}^{3/2}}\] |
| B. | \[=\frac{4}{3}\pi \times \frac{x}{4\pi }\sqrt{\frac{x}{4\pi }}=\frac{x}{3}\sqrt{\frac{x}{4\pi }.}\] |
| C. | \[\frac{\frac{4}{3}\pi {{r}^{3}}}{\frac{4}{3}\pi {{(21-r)}^{3}}}=\frac{64}{27}\] |
| D. | None of these |
| Answer» B. \[=\frac{4}{3}\pi \times \frac{x}{4\pi }\sqrt{\frac{x}{4\pi }}=\frac{x}{3}\sqrt{\frac{x}{4\pi }.}\] | |
| 442. |
A plot is in the form of a rectangle ABCD having semicircle on BC as shown in figure. The semicircle portion is grassy while the remaining plot is without grass. The area of the plot without grass where AB = 60 m and BC = 28 m is: |
| A. | \[\Rightarrow \] |
| B. | \[r=\sqrt{\frac{x}{4\pi }}\] |
| C. | \[\therefore \] |
| D. | None of these |
| Answer» C. \[\therefore \] | |
| 443. |
Three cubes whose edges are 3 cm, 4 cm and 5 cm respectively are melted without any loss of metal into a single cube. The edge of the new cube is ______. |
| A. | 6cm |
| B. | 12cm |
| C. | 9cm |
| D. | 10cm |
| Answer» B. 12cm | |
| 444. |
The Lase of an isosceles right triangle is\[30\text{ }cm\] Find its area. |
| A. | \[225\,c{{m}^{2}}\] |
| B. | \[225\sqrt{3}\,c{{m}^{2}}\] |
| C. | \[5\sqrt{2}\,c{{m}^{2}}\] |
| D. | \[6\sqrt{3}\,c{{m}^{2}}\] |
| Answer» B. \[225\sqrt{3}\,c{{m}^{2}}\] | |
| 445. |
A is a right circular cylinder on which a cone B is placed. The entire structure is melted and spheres are formed each having radius 1 cm. How many spheres can be formed? |
| A. | 18 |
| B. | 20 |
| C. | 21 |
| D. | 23 |
| Answer» D. 23 | |
| 446. |
The length and breadth of a square are increased by 40% and 30% respectively. The area of resulting rectangle exceeds the area of the square by: |
| A. | 42% |
| B. | 0.62 |
| C. | 82% |
| D. | None of these |
| Answer» D. None of these | |
| 447. |
The dimensions of the floor of a rectangular hall are \[108\pi c{{m}^{2}}\] m. The floor of the hall is to be tiled fully with \[\frac{125\pi }{6}c{{m}^{2}}\] rectangular tiles without breaking tiles to smaller size. The number of tiles required is: |
| A. | 4800 |
| B. | 2600 |
| C. | 2500 |
| D. | 2400 |
| Answer» D. 2400 | |
| 448. |
Instead of walking along two adjacent sides of a rectangular field, a boy took a short cut along the diagonal and saved a distance equal to half the longer side. Then the ratio of the shorter side to the longer side is |
| A. | \[6cm\] |
| B. | \[6\frac{2}{3}cm\] |
| C. | \[27\pi c{{m}^{3}}\] |
| D. | \[30\pi c{{m}^{3}}\] |
| Answer» E. | |
| 449. |
A hollow spherical ball whose inner radius is 4 cm is fall of water. Half of the water is transferred to a conical cup and it completely filled the cup. If the height of the cup is 2 cm, then the radius of the base of cone, in cm is |
| A. | 4cm |
| B. | \[6\frac{1}{2}cm\] |
| C. | 8cm |
| D. | 16cm |
| Answer» D. 16cm | |
| 450. |
The largest sphere is cut off from a cube of side 5 cm. The volume of the sphere will be: |
| A. | \[DM\bot BC\] |
| B. | \[AB=18cm,\] |
| C. | \[BC=12cm,\] |
| D. | \[DM=10cm,\] |
| Answer» E. | |