MCQOPTIONS
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MCQOPTIONS
This section includes 24 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
If \[x=\sqrt[3]{-3\frac{3}{8}},\].find the value of ?x'. |
| A. | \[\frac{3}{2}\] |
| B. | \[\frac{3}{4}\] |
| C. | \[-\frac{3}{4}\] |
| D. | \[-\frac{3}{2}\] |
| Answer» E. | |
| 2. |
Evaluate \[\sqrt[3]{\frac{343\times 125}{0.064}}\]. |
| A. | \[875\] |
| B. | \[8.75\] |
| C. | \[807.5\] |
| D. | \[87.5\] |
| Answer» E. | |
| 3. |
Small cubes of edge 2 cm are to be packed in a rectangular container measuring 6 cm by 5 cm and 4 cm. How many cubes can be packed in the container? |
| A. | 17 |
| B. | 18 |
| C. | 9 |
| D. | 15 |
| Answer» E. | |
| 4. |
Find the volume of a cube of side 13 cm. |
| A. | \[2197\text{ }c{{m}^{3}}\] |
| B. | \[~2179\text{ }c{{m}^{3}}\] |
| C. | 0 |
| D. | \[~2917\text{ }c{{m}^{3}}\] |
| Answer» B. \[~2179\text{ }c{{m}^{3}}\] | |
| 5. |
The cube of a number is 8 times the cube of another number. If the sum of the cubes of numbers is 243, what is difference of the numbers? |
| A. | \[3\] |
| B. | \[4\] |
| C. | \[6\] |
| D. | \[-6\] |
| Answer» B. \[4\] | |
| 6. |
Three numbers are in the ratio 2 : 3 : 5 to one another. The sum of their cubes is 54880. The numbers are____. |
| A. | 14, 21, 35 |
| B. | 12, 15, 17 |
| C. | 14, 18, 21 |
| D. | 21, 28, 32 |
| Answer» B. 12, 15, 17 | |
| 7. |
A cubic wooden block has an edge of\[0.21\text{ }m\].What is its volume? |
| A. | \[9261\text{ }c{{m}^{3}}\] |
| B. | \[926.1\text{ }{{m}^{3}}\] |
| C. | \[92.61\text{ }c{{m}^{3}}\] |
| D. | \[92.61\text{ }{{m}^{3}}\] |
| Answer» B. \[926.1\text{ }{{m}^{3}}\] | |
| 8. |
Match the following. Column - I Column - II P. The smallest number that should be subtracted from 130 to make it perfect cube is (i) 4 Q. The smallest number that should be subtracted from 9268 to make it perfect cube is (ii) 3 R. The smallest number that should be added to 2194 to make it perfect cube is (iii) 5 S. The smallest number that should be added to 6855 to make it perfect cube is (iv) 7 |
| A. | P\[\to \](iii); Q\[\to \](i); R\[\to \](iv); S\[\to \](ii) |
| B. | P\[\to \](ii); Q\[\to \](iv); R\[\to \](i); S\[\to \](iii) |
| C. | P\[\to \](iii); Q\[\to \](i); R\[\to \](ii); S\[\to \](iv) |
| D. | P\[\to \](iii); Q\[\to \](iv); R\[\to \](ii); S\[\to \](i) |
| Answer» E. | |
| 9. |
The quotient of the cube root of a number and 25 is 5. Identify the number. |
| A. | \[{{5}^{3}}\] |
| B. | \[{{25}^{3}}\] |
| C. | \[{{125}^{2}}\] |
| D. | \[{{125}^{3}}\] |
| Answer» E. | |
| 10. |
The smallest number by which 392 must be multiplied so that the product is a perfect cube, is ____. |
| A. | 3 |
| B. | 5 |
| C. | 7 |
| D. | 9 |
| Answer» D. 9 | |
| 11. |
If \[72K\] is a perfect cube, find the value of K. |
| A. | \[1\] |
| B. | \[2\] |
| C. | \[3\] |
| D. | \[4\] |
| Answer» D. \[4\] | |
| 12. |
Find the value of \[\sqrt[3]{(-125)\times (-3375)}\] |
| A. | 75 |
| B. | 72 |
| C. | 77 |
| D. | 79 |
| Answer» B. 72 | |
| 13. |
Find the value of \[\left[ \left( {{5}^{\mathbf{2}}}+\mathbf{1}{{\mathbf{2}}^{\mathbf{2}}} \right) \right]\]is given by |
| A. | 2197 |
| B. | 169 |
| C. | 1693 |
| D. | 289 |
| Answer» B. 169 | |
| 14. |
Find the value of \[\sqrt[3]{-9261}\] |
| A. | -21 |
| B. | -31 |
| C. | -11 |
| D. | -41 |
| Answer» B. -31 | |
| 15. |
The smallest number by which we must divide 4624 so that is becomes a perfect cube. |
| A. | 2 |
| B. | 169 |
| C. | 4 |
| D. | 13 |
| Answer» D. 13 | |
| 16. |
The smallest number by which 2560 must be multiplied so that the product will be a perfect cube. |
| A. | 35 |
| B. | 2.5 |
| C. | 8 |
| D. | 5 |
| Answer» C. 8 | |
| 17. |
Solve, \[\sqrt[3]{27}+\sqrt[3]{125}\] |
| A. | 8 |
| B. | 9 |
| C. | 10 |
| D. | 12 |
| Answer» B. 9 | |
| 18. |
If you subtract a number, x from 17 times that number, and then take the cube of the difference, what will be the result? |
| A. | \[1728\,{{x}^{3}}\] |
| B. | \[4913\,{{x}^{3}}\] |
| C. | \[4096\,{{x}^{3}}\] |
| D. | \[5832\,{{x}^{3}}\] |
| Answer» D. \[5832\,{{x}^{3}}\] | |
| 19. |
There are two numbers such that the sum of the numbers is 28 and their difference is 4. Find the difference of their cubes. |
| A. | 2368 |
| B. | 1529 |
| C. | 2068 |
| D. | 1638 |
| Answer» B. 1529 | |
| 20. |
Find the value of A if \[\sqrt[3]{500.A}=10\] |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| D. | 4 |
| Answer» B. 2 | |
| 21. |
Find the value of \[\sqrt[3]{3.375}\] |
| A. | 1.5 |
| B. | 2.5 |
| C. | 2 |
| D. | 3.5 |
| Answer» B. 2.5 | |
| 22. |
Find the volume of cube whose surface area 216 m2. |
| A. | \[216\,{{m}^{3}}\] |
| B. | \[200\,{{m}^{3}}\] |
| C. | \[210\,{{m}^{3}}\] |
| D. | \[262\,{{m}^{3}}\] |
| Answer» B. \[200\,{{m}^{3}}\] | |
| 23. |
Find the smallest number by which 128625 must be divided so that the quotient will be a perfect cube. |
| A. | 2 |
| B. | 3 |
| C. | 5 |
| D. | 6 |
| Answer» C. 5 | |
| 24. |
Simplify : \[\sqrt[3]{64\times 729}=\] |
| A. | 72 |
| B. | 18 |
| C. | 36 |
| D. | 27 |
| Answer» D. 27 | |