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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.
| 701. |
Which is the only cube having the same value as its cube root? |
| A. | 10 |
| B. | 0.1 |
| C. | 11 |
| D. | 1.0 |
| Answer» E. | |
| 702. |
Find the cube root of \[{{a}^{6}}{{b}^{3}}.\] |
| A. | \[ab\] |
| B. | \[{{a}^{3}}{{b}^{2}}\] |
| C. | \[{{a}^{2}}b\] |
| D. | \[{{a}^{2}}{{b}^{2}}\] |
| Answer» D. \[{{a}^{2}}{{b}^{2}}\] | |
| 703. |
Which of the following are equal? 21 + 23 + 25 + 27 + 29 13 + 15 + 17 + 19 31 + 37 + 41 + 43 \[5\times 5\times 5\] |
| A. | Only (i) and (ii) |
| B. | Only (ii) and (iii) |
| C. | Only (i) and (iii) |
| D. | Only (i) and (iv) |
| Answer» E. | |
| 704. |
A cubic water tank has sides of length 2.143 m. What is the capacity of the tank in litres? |
| A. | 9.8416 |
| B. | 9.6456 |
| C. | 9.8926 |
| D. | 9.7426 |
| Answer» B. 9.6456 | |
| 705. |
Identify the value of \[({{7}^{3}}-{{6}^{3}}).\] |
| A. | 112 |
| B. | 162 |
| C. | 127 |
| D. | 189 |
| Answer» D. 189 | |
| 706. |
Identify the value of \[{{(0.03)}^{3}}.\] |
| A. | 0.000270 |
| B. | 0.000027 |
| C. | 0.000072 |
| D. | 0.000030 |
| Answer» C. 0.000072 | |
| 707. |
Find the cube root of 79507. |
| A. | 37 |
| B. | 53 |
| C. | 43 |
| D. | 57 |
| Answer» D. 57 | |
| 708. |
Which of the following are true? (i) The cube of any odd number is even. (ii) A perfect cube does not end with two zeros. (iii) There is no perfect cube which ends with 8. (iv) The cube of a single digit number may be a single digit number. |
| A. | Only (ii) and (iii) |
| B. | Only (i) and (ii) |
| C. | Only (i) and (iii) |
| D. | Only (ii) and (iv) |
| Answer» E. | |
| 709. |
Find the cube root of\[\left( \frac{1}{8}\times \frac{125}{64} \right)\] |
| A. | \[\frac{5}{8}\] |
| B. | \[\frac{372}{512}\] |
| C. | \[2\frac{1}{2}\] |
| D. | \[15\frac{5}{8}\] |
| Answer» B. \[\frac{372}{512}\] | |
| 710. |
Which of the following are perfect cubes? (i) 10000 (ii) 4913 (iii) 6589 (iv) 3528 |
| A. | Only (ii) and (iii) |
| B. | Only (iii) and (iv) |
| C. | Only (i) and (iv) |
| D. | Only (ii) and (iv) |
| Answer» B. Only (iii) and (iv) | |
| 711. |
Identify the simplest form of the expression \[\sqrt[3]{27\times {{x}^{3}}{{y}^{9}}}.\] |
| A. | \[3\,x{{y}^{3}}\] |
| B. | \[3\,x{{y}^{3}}\] |
| C. | \[\frac{2}{7}\] |
| D. | \[\frac{4}{7}\] |
| Answer» B. \[3\,x{{y}^{3}}\] | |
| 712. |
Find the smallest number by which 5324 must be divided to get a perfect cube. |
| A. | 4 |
| B. | 3 |
| C. | 2 |
| D. | 1 |
| Answer» B. 3 | |
| 713. |
Find the wrong number in the given series. 2, 9, 28, 65, 126, 216, 344 |
| A. | 126 |
| B. | 28 |
| C. | 216 |
| D. | 65 |
| Answer» D. 65 | |
| 714. |
A box measures 1 m by 1 m by 1 m. What are its measures in cm? |
| A. | \[10\text{ }cm\text{ }\times \text{ }10\text{ }cm\text{ }\times \text{ }10\text{ }cm\] |
| B. | \[~100\text{ }cm\text{ }\times \text{ }100\text{ }cm\text{ }\times \text{ }100\text{ }cm\] |
| C. | \[~40\text{ }cm\text{ }\times \text{ }40\text{ }cm\text{ }\times \text{ }40\text{ }cm\] |
| D. | \[50\text{ }cm\text{ }\times \text{ }56\text{ }cm\text{ }\times \text{ }50\text{ }cm\] |
| Answer» C. \[~40\text{ }cm\text{ }\times \text{ }40\text{ }cm\text{ }\times \text{ }40\text{ }cm\] | |
| 715. |
A shopkeeper bought rubbers in boxes of 10 cm by 10 cm by 10 cm. He packed the boxes in a carton measuring 0.8 m by 0.6 m by 0.4 m. How many boxes can be packed in the carton? |
| A. | 194 |
| B. | 164 |
| C. | 192 |
| D. | 184 |
| Answer» D. 184 | |
| 716. |
What is the capacity of a container whose shape is a cube of side 20cm? |
| A. | \[2000\text{ }c{{m}^{3}}\] |
| B. | \[~4000\text{ }c{{m}^{3}}\] |
| C. | \[~6000\text{ }c{{m}^{3}}\] |
| D. | \[~8000\text{ }c{{m}^{3}}\] |
| Answer» E. | |
| 717. |
Find the value of\[\sqrt[3]{375\times 243}.\] |
| A. | 55 |
| B. | 45 |
| C. | 35 |
| D. | 65 |
| Answer» C. 35 | |
| 718. |
If the cube root of 132651 is 51, find the value of the given expression. \[\sqrt[3]{132.651}+\sqrt[3]{0.132651}+\sqrt[3]{0.000132651}\] |
| A. | 5.661 |
| B. | 56.61 |
| C. | 566.1 |
| D. | 5661 |
| Answer» B. 56.61 | |
| 719. |
If \[{{8}^{n+1}}=512,\]find the value of \[\sqrt[3]{n+998}.\] |
| A. | 8 |
| B. | 4 |
| C. | 10 |
| D. | 12 |
| Answer» D. 12 | |
| 720. |
Find the value of \[\sqrt[3]{\sqrt{0.000064}}.\] |
| A. | \[\frac{4}{10}\] |
| B. | \[\frac{2}{10}\] |
| C. | \[\frac{6}{10}\] |
| D. | \[\frac{8}{10}\] |
| Answer» C. \[\frac{6}{10}\] | |
| 721. |
Find the cube root of \[2\frac{93}{125}.\] |
| A. | \[\frac{3}{5}\] |
| B. | \[\frac{9}{5}\] |
| C. | \[\frac{7}{5}\] |
| D. | \[\frac{2}{5}\] |
| Answer» D. \[\frac{2}{5}\] | |
| 722. |
Identify the cube root of the number obtained by finding the L.C.M. of 24 and 108. |
| A. | 8 |
| B. | 7 |
| C. | 6 |
| D. | 9 |
| Answer» D. 9 | |
| 723. |
Find the prime factorization form of the cube root of\[{{3}^{12}}\times {{5}^{9}}.\] |
| A. | \[{{3}^{4}}\times {{5}^{9}}\] |
| B. | \[{{3}^{6}}\times {{5}^{3}}\] |
| C. | \[{{3}^{3}}\times {{5}^{3}}\] |
| D. | \[{{3}^{4}}\times {{5}^{3}}\] |
| Answer» E. | |
| 724. |
What is the smallest number by which 3600 must be divided to make it a perfect cube? |
| A. | 450 |
| B. | 500 |
| C. | 400 |
| D. | 100 |
| Answer» B. 500 | |
| 725. |
Find the units digit in the cube of 63. |
| A. | 9 |
| B. | 3 |
| C. | 7 |
| D. | 6 |
| Answer» D. 6 | |
| 726. |
Find the least possible value of B for which \[6561\times B\]is a perfect cube. |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| D. | 4 |
| Answer» D. 4 | |
| 727. |
Find the cube root of \[\frac{32768}{512}\] |
| A. | 16 |
| B. | 12 |
| C. | 8 |
| D. | 4 |
| Answer» E. | |
| 728. |
Find the largest four digit number which is a perfect cube. |
| A. | 9999 |
| B. | 1000 |
| C. | 9261 |
| D. | 8000 |
| Answer» D. 8000 | |
| 729. |
Find the smallest number by which 1125 must be multiplied to get a perfect cube. |
| A. | 5 |
| B. | 7 |
| C. | 9 |
| D. | 3 |
| Answer» E. | |
| 730. |
Find the cube root of 1000000. |
| A. | \[10\times 0.1\] |
| B. | \[0.1\times 0.1\] |
| C. | \[10\times 10\] |
| D. | \[100\times 10\] |
| Answer» D. \[100\times 10\] | |
| 731. |
Find the value of \[\sqrt[3]{0.512}.\] |
| A. | 0.12 |
| B. | 0.5 |
| C. | 8.0 |
| D. | 0.8 |
| Answer» E. | |
| 732. |
The five vowels of the English alphabet i.e. A, E, I, O and U are written and each third letter to the right of each vowels is written. After this all the remaining letters of the English alphabet are written in order. In this arrangement, which is the 5th letter to left of 19th letter from the left? |
| A. | G |
| B. | H |
| C. | J |
| D. | W |
| Answer» B. H | |
| 733. |
If it is possible to make only one meaningful word with the second, the seventh, the tenth and the eleventh letters of the word TRADITIONAL, what will be the second letter of the word? If no such word can be formed, give 'X' as the answer. If only two such words can be formed give T as the answer and if more than two such words can be formed give 'Z' as the answer. (SOF NCO 2016) |
| A. | L |
| B. | Y |
| C. | X |
| D. | Z |
| Answer» E. | |
| 734. |
How many times in a day, are the hands of a clock in straight line but opposite in direction? |
| A. | 20 |
| B. | 22 |
| C. | 24 |
| D. | 48 |
| Answer» C. 24 | |
| 735. |
Direction: Answer the questions based on the following information: (i) A+B means A is the mother of B. (ii) A-B means A is the sister of B. (iii) A * B means A is the father of B. (iv) \[\mathbf{A}\pi \mathbf{B}\] means A is the brother of B. Which of the following means Q is the grandfather of P? |
| A. | P + N * M * Q |
| B. | Q * N * M + P |
| C. | \[Q\pi M\pi N*P\] |
| D. | Q * N * M - P |
| Answer» E. | |
| 736. |
Direction: Study the following arrangement carefully and answer the questions given below. W 1 R % 4 J E # 7 M T 2 I 9 B H 3 A 9 F Q 5 D G 6 U S P If the order of the last fifteen elements is reversed, which of the following will be fifth to the right of twelfth from the left end? |
| A. | 6 |
| B. | |
| C. | 3 |
| D. | U |
| Answer» E. | |
| 737. |
In a certain code language, if MOUSE is written as PRUQC, then how will SHIFT be written in that code language? (SOF NCO 2017) |
| A. | VJIDR |
| B. | VKIDR |
| C. | RKIVD |
| D. | VIKRD |
| Answer» C. RKIVD | |
| 738. |
If all the letters at odd places in the English alphabet are written in order from left to right and then all the letters at even places are written in reverse order, which is the 6th letter to the left of the letter which is 17th from the left? |
| A. | D |
| B. | B |
| C. | V |
| D. | U |
| Answer» E. | |
| 739. |
Read the following statements carefully: A3B means A is the wife of B. A4B means A is the brother of B. A5B means A is the father of B. A9B means A is the sister of B. Which of the following means F is the mother of K? |
| A. | F9M4N3K |
| B. | F5M3K |
| C. | F3M5K |
| D. | F3M5N3K |
| Answer» D. F3M5N3K | |
| 740. |
Directions: Match the second pair of numbers in the same way as the first pair in each of the questions below. REASON is to SFBTPO as THINK is to ? |
| A. | SGHMJ |
| B. | UIJOL |
| C. | UHNKI |
| D. | UJKPM |
| Answer» C. UHNKI | |
| 741. |
Identify the matching pair. B4F : C2E : : K8S : ? |
| A. | D4I |
| B. | J2L |
| C. | Q2T |
| D. | P4T |
| Answer» E. | |
| 742. |
Direction: To establish the same relationship between two pair of terms on either side of'::', choose the set of terms that will replace the mark'?'. 8 : 64 :: 25 : ? |
| A. | 125 |
| B. | 625 |
| C. | 521 |
| D. | 137 |
| Answer» C. 521 | |
| 743. |
If 'P + Q' means 'P is the daughter of Q';'P - Q' means 'P is the brother of Q';'P % Q' means 'P is the father of Q' and \['P\times Q'\] means 'P is the sister of Q'. Which of the following means 'I is the niece of J'? |
| A. | \[J-N%C\times l\] |
| B. | \[l\times C-N%J\] |
| C. | \[l\times C+N-J\] |
| D. | \[J+M\times C%l\] |
| Answer» D. \[J+M\times C%l\] | |
| 744. |
If the first 6 letters of the English alphabet are written in reverse order then the next 6 letters are written in reverse order and so on also the last two letters Y and Z are interchanged, which is the 4th letter to the left of the letter which is 13th from the right? |
| A. | J |
| B. | H |
| C. | l |
| D. | O |
| Answer» D. O | |
| 745. |
If \[t+\frac{1}{t}=2,\]find the value of \[t-\frac{1}{t}.\] |
| A. | 0 |
| B. | 4 |
| C. | -2 |
| D. | |
| Answer» B. 4 | |
| 746. |
How many circles are there in the adjoining figure? |
| A. | 11 |
| B. | 12 |
| C. | 13 |
| D. | 14 |
| Answer» D. 14 | |
| 747. |
Among P, Q, R, Sand T, each having a different weight, R is heavier than only P. S is lighter that Q and heavier than T. Who among them is the heaviest? (SOF IMO 2016) |
| A. | Q |
| B. | P |
| C. | S |
| D. | Data inadequate |
| Answer» B. P | |
| 748. |
Count the minimum number of straight lines in the following diagram. |
| A. | 8 |
| B. | 10 |
| C. | 9 |
| D. | 12 |
| Answer» D. 12 | |
| 749. |
Direction: Each of these questions is based on the following letters series. J H G F P L D B E M S T R Q A I K N W X Three of the following four are alike in a certain way with regard to their positions in the given arrangement. Which is the one that does not belong to the group? |
| A. | JFS |
| B. | LEI |
| C. | DMK |
| D. | FDR |
| Answer» E. | |
| 750. |
Direction: To establish the same relationship between two pair of terms on either side of'::', choose the set of terms that will replace the mark'?'. 14: 9 :: 26: ? |
| A. | 31 |
| B. | 12 |
| C. | 15 |
| D. | 12 |
| Answer» D. 12 | |