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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.
| 1451. |
Find the value of \[\sqrt{\sqrt[3]{0.000064}}\]. |
| A. | \[0.2\] |
| B. | \[0.02\] |
| C. | \[0.002\] |
| D. | \[0.04\] |
| Answer» B. \[0.02\] | |
| 1452. |
If \[\sqrt[3]{-2744}\div \sqrt[3]{0.008}=x\],then the value of x is __. |
| A. | 70 |
| B. | -70 |
| C. | 14 |
| D. | -14 |
| Answer» C. 14 | |
| 1453. |
If a; b; c and d are consecutive natural numbers and \[{{a}^{3}}={{b}^{3}}+{{c}^{3}}+{{d}^{3}},\]what is the least value of 'a'? |
| A. | \[6\] |
| B. | \[9\] |
| C. | \[3\] |
| D. | \[12\] |
| Answer» B. \[9\] | |
| 1454. |
A rectangular cubical piece of metal of dimensions \[2\text{ }cm\text{ }\times \text{ }3\text{ }cm\text{ }\times \text{ }4\text{ }cm\] is melted. Some more of the metal is added and it is made into a cube. The cube has integral measures for its sides. What is the minimum amount of metal that is added and what is the side of this cube? |
| A. | \[10\text{ }c{{m}^{3}},\text{ }4\text{ }cm\] |
| B. | \[3\text{ }c{{m}^{3}},\text{ }3\text{ }cm\] |
| C. | \[11\text{ }c{{m}^{3}},\text{ }3\text{ }cm\] |
| D. | \[4\text{ }c{{m}^{3}},\text{ }3\text{ }cm\] |
| Answer» C. \[11\text{ }c{{m}^{3}},\text{ }3\text{ }cm\] | |
| 1455. |
Find the value of \[\sqrt[3]{0.000216}\]. |
| A. | \[0.006\] |
| B. | \[0.6\] |
| C. | \[0.36\] |
| D. | \[0.06\] |
| Answer» E. | |
| 1456. |
Atul made a cuboid of plasticine. Length, breadth and height of the cuboid are 25 cm. 25 cm and 50 cm. How many minimum such cuboids he needs to make a perfect cube? |
| A. | 4 |
| B. | 20 |
| C. | 12 |
| D. | 25 |
| Answer» B. 20 | |
| 1457. |
Find the units place in the cube of 126. |
| A. | \[4\] |
| B. | \[6\] |
| C. | \[8\] |
| D. | \[1\] |
| Answer» C. \[8\] | |
| 1458. |
A tank is in the form of a cube whose volume is \[9261000\text{ }{{m}^{3}}\]. Find the length of side of the tank |
| A. | 230 m |
| B. | 250 m |
| C. | 210 m |
| D. | 180 m |
| Answer» D. 180 m | |
| 1459. |
The product \[864\times n\] is a perfect cube. What is the smallest possible value of 'n'? |
| A. | \[2\] |
| B. | \[1\] |
| C. | \[4\] |
| D. | \[3\] |
| Answer» B. \[1\] | |
| 1460. |
Mohit gave a problem to Samrath. Difference of two perfect cubes is 189. If the cube root of the smaller of the two numbers is 3, find the cube root of the larger number. Help Samrath to answer the question. |
| A. | 4 |
| B. | 6 |
| C. | 8 |
| D. | 10 |
| Answer» C. 8 | |
| 1461. |
Identify the digit in the units place of \[\sqrt[3]{21952}\] |
| A. | \[8\] |
| B. | \[4\] |
| C. | \[6\] |
| D. | \[7\] |
| Answer» B. \[4\] | |
| 1462. |
Evaluate \[\sqrt[3]{-2744}\div \sqrt[3]{0.008}\]. |
| A. | \[70\] |
| B. | \[-70\] |
| C. | \[14\] |
| D. | \[-14\] |
| Answer» C. \[14\] | |
| 1463. |
Two cubes have volumes in the ratio 1:27. The ratio of the area of the face of one to that of the other is __. |
| A. | 1 : 3 |
| B. | 1 : 6 |
| C. | 1 : 9 |
| D. | 1 : 18 |
| Answer» D. 1 : 18 | |
| 1464. |
The cube of a number \[x\] is nine times of\[x\], then find\[x\], where \[x\ne 0\] and \[x\ne -3\]. |
| A. | 8 |
| B. | 2 |
| C. | 4 |
| D. | 3 |
| Answer» E. | |
| 1465. |
Find the cube root of\[0.001728\]. |
| A. | \[0.12\] |
| B. | \[1.2\] |
| C. | \[12\] |
| D. | \[2.6\] |
| Answer» B. \[1.2\] | |
| 1466. |
The unit's digit of the cube of a number is 9. The unit's digit of its cube root is ___. |
| A. | 9 |
| B. | 7 |
| C. | 3 |
| D. | 1 |
| Answer» B. 7 | |
| 1467. |
Which of the following is the cube of an even natural number? |
| A. | \[729\] |
| B. | \[3375\] |
| C. | \[1331\] |
| D. | \[13824\] |
| Answer» E. | |
| 1468. |
The length of each side of a cubical box is 2.4 m. Its volume is ___. |
| A. | \[1.3824\times {{10}^{7}}cu.cm\] |
| B. | \[13.824cu.cm\] |
| C. | \[1.3824\times {{10}^{8}}cu.cm\] |
| D. | \[1.3824\times {{10}^{4}}cu.cm\] |
| Answer» B. \[13.824cu.cm\] | |
| 1469. |
Which of the following numbers is a perfect cube? |
| A. | \[108\] |
| B. | \[343\] |
| C. | \[243\] |
| D. | \[5324\] |
| Answer» C. \[243\] | |
| 1470. |
The cube of an odd natural number is always ___. |
| A. | Even |
| B. | Odd |
| C. | Even or odd |
| D. | Can't say |
| Answer» C. Even or odd | |
| 1471. |
The difference of the cube and the square of a natural number is 48. Find the number. |
| A. | \[6\] |
| B. | \[5\] |
| C. | \[4\] |
| D. | \[8\] |
| Answer» D. \[8\] | |
| 1472. |
The value of \[{{45}^{3}}-{{65}^{3}}-{{20}^{3}}\]is __. |
| A. | 175500 |
| B. | -191500 |
| C. | 170000 |
| D. | -170000 |
| Answer» C. 170000 | |
| 1473. |
How many dots are their on the dice face opposite the one with three dots? |
| A. | 2 |
| B. | 4 |
| C. | 5 |
| D. | 6 |
| Answer» D. 6 | |
| 1474. |
Select from the alternative, the box that can be formed by folding the sheet shown in figure (X): (A) (B) (C) (D) |
| A. | A only |
| B. | B only |
| C. | A and C only |
| D. | A, B, C and D |
| Answer» C. A and C only | |
| 1475. |
Select from the alternative, the box that can be formed by folding the sheet shown in figure (X) (A) (B) (C) (D) |
| A. | A only |
| B. | A and C only |
| C. | A, C and D only |
| D. | A, B, C and D |
| Answer» B. A and C only | |
| 1476. |
DIRECTIONS: Four dice are shown, The first three display alphabets in some sequence. Find that sequential rule and fill the blank spaces in the fourth dice from the given four alternatives. Sequence of letters: A B C D E F F G H I J K L M N O P Q R S T U V W X Y Z |
| A. | Q, L |
| B. | Q, V |
| C. | P, S |
| D. | H, Q |
| Answer» C. P, S | |
| 1477. |
Count the number of blocks in the given figure |
| A. | 6 |
| B. | 7 |
| C. | 8 |
| D. | 9 |
| Answer» C. 8 | |
| 1478. |
A \[5\times 5\times 5\] cube is formed by using \[1\times 1\times 1\] cubes. If we add another layer of such \[1\times 1\times 1\] cube in the \[5\times 5\times 5\] cube. What will be the number of 1 x 1 x 1 cubes in the newly formed cube? |
| A. | 216 |
| B. | 343 |
| C. | 294 |
| D. | 264 |
| Answer» C. 294 | |
| 1479. |
DIRECTIONS: A wooden cube is painted blue on all the four adjoining sides and green on two opposite sides i.e. top and bottom. It is then cut at equal distances at right angles four time vertically (top to bottom) and two times horizontally (along the sides) as shown in the figure, where the dotted lines represent the cuts made. Study the diagram and answer the following questions: How many cubes are formed in all? |
| A. | 16 |
| B. | 24 |
| C. | 27 |
| D. | 32 |
| Answer» D. 32 | |
| 1480. |
DIRECTIONS: A wooden cube is painted blue on all the four adjoining sides and green on two opposite sides i.e. top and bottom. It is then cut at equal distances at right angles four time vertically (top to bottom) and two times horizontally (along the sides) as shown in the figure, where the dotted lines represent the cuts made. Study the diagram and answer the following questions: How many cubes will have one face painted only in Green |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| D. | 4 |
| Answer» C. 3 | |
| 1481. |
DIRECTIONS: A wooden cube is painted blue on all the four adjoining sides and green on two opposite sides i.e. top and bottom. It is then cut at equal distances at right angles four time vertically (top to bottom) and two times horizontally (along the sides) as shown in the figure, where the dotted lines represent the cuts made. Study the diagram and answer the following questions: How many cubes will have one face painted only in Blue |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| D. | 4 |
| Answer» E. | |
| 1482. |
DIRETIONS: Four dice are shown. The first three display alphabets in some sequence. Find that sequential rule and fill the blank spaces in the fourth dice from the given four alternatives. Sequence of letters: A B C D E F F G H I J K L M N O P Q R S T U V W X Y Z |
| A. | M, J |
| B. | S, U |
| C. | S, V |
| D. | L, G |
| Answer» B. S, U | |
| 1483. |
DIRECTIONS: Six dice with their top faces reased have been given. The opposite faces of the dice have dots which add up to thirteen. Work out the number of dots on the top faces, according to the question and spot your answer from form amongst the given alternatives. If dice II, V and VI have even number of dots at their bottom faces, what would be the total number of dots - II |
| A. | 18 |
| B. | 20 |
| C. | 16 |
| D. | 24 |
| Answer» B. 20 | |
| 1484. |
DIRECTIONS: Six dice with their top faces reased have been given. The opposite faces of the dice have dots which add up to thirteen. Work out the number of dots on the top faces, according to the question and spot your answer from form amongst the given alternatives. If dices II, IV and VI have odd number of dots at their top faces, what would be the total number of dots? |
| A. | 19 |
| B. | 18 |
| C. | 17 |
| D. | 16 |
| Answer» B. 18 | |
| 1485. |
DIRECTIONS: Six dice with their top faces reased have been given. The opposite faces of the dice have dots which add up to thirteen. Work out the number of dots on the top faces, according to the question and spot your answer from form amongst the given alternatives. If the dices I, III and V have even number of dots at their bottom faces, what would be the total number of dots'? |
| A. | 20 |
| B. | 22 |
| C. | 24 |
| D. | 18 |
| Answer» B. 22 | |
| 1486. |
DIRECTIONS: A cube painted red on two adjacent faces and block on the faces opposite to the red faces and green on the remaining faces is cut into sixty-four smaller cubes of equal size. How many cubes have only one face painted - |
| A. | 8 |
| B. | 16 |
| C. | 24 |
| D. | 32 |
| Answer» D. 32 | |
| 1487. |
DIRECTIONS: A cube painted red on two adjacent faces and block on the faces opposite to the red faces and green on the remaining faces is cut into sixty-four smaller cubes of equal size. How many cubes are there which have no face painted? |
| A. | 0 |
| B. | 4 |
| C. | 8 |
| D. | 16 |
| Answer» D. 16 | |
| 1488. |
A three centimeter cube has been painted red on all its sides. It is cut into one centimeter cubes. How many cubes will be there with only one side painted red? |
| A. | 4 |
| B. | 6 |
| C. | 1 |
| D. | 9 |
| Answer» C. 1 | |
| 1489. |
Count the number of cubes in the given figure. |
| A. | 80 |
| B. | 87 |
| C. | 89 |
| D. | 90 |
| Answer» D. 90 | |
| 1490. |
Find the value of \[\sqrt[3]{\frac{0.027}{0.008}}-\sqrt{\frac{0.09}{0.04}}-1\] |
| A. | 1 |
| B. | \[-1\] |
| C. | 0 |
| D. | \[\frac{3}{2}\] |
| Answer» C. 0 | |
| 1491. |
Find the cube root of \[\frac{-2197}{1331}\] |
| A. | \[\frac{-13}{11}\] |
| B. | \[\frac{13}{11}\] |
| C. | \[-\frac{13}{21}\] |
| D. | \[-\frac{17}{21}\] |
| Answer» B. \[\frac{13}{11}\] | |
| 1492. |
Find the least number by which 3087 must be multiplied to make it a perfect cube. |
| A. | 3 |
| B. | 4 |
| C. | 9 |
| D. | 7 |
| Answer» B. 4 | |
| 1493. |
If you have a container in the shape of a cube that has a volume of 68921m3, then the area of each of the faces of the cube is |
| A. | 1931 |
| B. | 1681 |
| C. | 1729 |
| D. | 1487 |
| Answer» C. 1729 | |
| 1494. |
Some Bananas are packed into a box in stacks. Each stack has the same number of bananas in each row as the number of rows. The number of stacks is also the same as the number of rows. If there are 58 stacks of bananas in the box and no of stacks = no of bananas in each row. What is the total number of bananas in the box? |
| A. | 196687 |
| B. | 194817 |
| C. | 195112 |
| D. | 195437 |
| Answer» D. 195437 | |
| 1495. |
A cubical box has all sides of 26 m. Its volume will be |
| A. | \[14626\,{{m}^{3}}\] |
| B. | \[19726\,{{m}^{3}}\] |
| C. | \[12645\,{{m}^{3}}\] |
| D. | \[17576\,{{m}^{3}}\] |
| Answer» E. | |
| 1496. |
What is the value of \[\sqrt[3]{\frac{-56}{875}}\] |
| A. | \[-\frac{7}{2}\] |
| B. | \[-\frac{7}{5}\] |
| C. | \[-\frac{2}{5}\] |
| D. | \[-\frac{2}{7}\] |
| Answer» D. \[-\frac{2}{7}\] | |
| 1497. |
A number n is called a perfect cube if there exists. |
| A. | a natural number m such that n \[=m\times m\] |
| B. | a natural number m such that \[m=n\times m\times n\] |
| C. | a natural number m such that \[n=m\times m\times m\] |
| D. | a natural number m such that \[m=n+m+n\] |
| Answer» D. a natural number m such that \[m=n+m+n\] | |
| 1498. |
Three numbers are in the ratio to one another 2:3:4 and the sum of their cubes is 33957. What are the numbers? |
| A. | 21, 14, 28 |
| B. | 14, 21, 28 |
| C. | 28, 14, 21 |
| D. | 27, 15, 14 |
| Answer» C. 28, 14, 21 | |
| 1499. |
Evaluate \[\sqrt[3]{27}+\sqrt[3]{0.008}+\sqrt[3]{0.064}\] |
| A. | 6.3 |
| B. | 3.64 |
| C. | 6.36 |
| D. | 3.6 |
| Answer» E. | |
| 1500. |
If \[\mathbf{y}=\sqrt[3]{2\frac{93}{125}}\], then find the value of y. |
| A. | \[\frac{7}{5}\] |
| B. | \[\frac{5}{7}\] |
| C. | \[\frac{33}{7}\] |
| D. | \[\frac{13}{7}\] |
| Answer» B. \[\frac{5}{7}\] | |