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MCQOPTIONS
This section includes 1900 Mcqs, each offering curated multiple-choice questions to sharpen your 9th Class knowledge and support exam preparation. Choose a topic below to get started.
| 601. |
\[\frac{{{\mathbf{a}}^{\mathbf{-1}}}}{{{\mathbf{a}}^{\mathbf{-1}}}\mathbf{+}{{\mathbf{b}}^{\mathbf{-1}}}}\mathbf{+}\frac{{{\mathbf{a}}^{\mathbf{-1}}}}{{{\mathbf{a}}^{\mathbf{-1}}}\mathbf{-}{{\mathbf{b}}^{\mathbf{-1}}}}\mathbf{=?}\] |
| A. | 0 |
| B. | 1 |
| C. | \[\frac{2{{b}^{2}}}{{{b}^{2}}-{{a}^{2}}}\] |
| D. | \[\frac{2{{b}^{2}}}{{{b}^{2}}+{{a}^{2}}}\] |
| Answer» D. \[\frac{2{{b}^{2}}}{{{b}^{2}}+{{a}^{2}}}\] | |
| 602. |
The largest among the numbers \[{{\mathbf{2}}^{\mathbf{250}}}\mathbf{,}{{\mathbf{3}}^{\mathbf{150}}}\mathbf{,}{{\mathbf{5}}^{\mathbf{100}}}\] and \[{{\mathbf{4}}^{\mathbf{200}}}\] is |
| A. | \[{{4}^{200}}\] |
| B. | 5100 |
| C. | 2250 |
| D. | 2150 |
| Answer» B. 5100 | |
| 603. |
If \[x+\sqrt{7}=7+\sqrt{y},x+\sqrt{7}=7+\sqrt{y}\], and x, y are positive integers, then the value of \[\frac{\sqrt{x}+y}{x+\sqrt{y}}\]is. |
| A. | 0 |
| B. | 2 |
| C. | \[\frac{1}{2}\] |
| D. | 1 |
| Answer» E. | |
| 604. |
\[\frac{\mathbf{1}}{\mathbf{1+}{{\mathbf{2}}^{\mathbf{x-y}}}}\mathbf{+}\frac{\mathbf{1}}{\mathbf{1+}{{\mathbf{2}}^{\mathbf{y-x}}}}\mathbf{=?}\] |
| A. | \[x\] |
| B. | \[x-y\] |
| C. | 1 |
| D. | 0 |
| Answer» D. 0 | |
| 605. |
In a cricket match, the number of runs scored by any team is equal to power of the number of batsmen playing in the team. Six batsmen played in team A and eleven batsmen played in team B. If team A won by 95 runs, then find the runs scored by team A. |
| A. | 216 |
| B. | 220 |
| C. | 210 |
| D. | 230 |
| E. | None of these |
| Answer» B. 220 | |
| 606. |
If \[\sqrt{\mathbf{18225}}=\mathbf{135}\], then the value of \[\sqrt{182.25}+\sqrt{1.8225}+\sqrt{0.018225}+\sqrt{0.00018225}\] is |
| A. | 1.49985 |
| B. | 14.9985 |
| C. | 149.985 |
| D. | 1499.85 |
| Answer» C. 149.985 | |
| 607. |
The square root of \[\mathbf{0}.\overline{\mathbf{4}}\] is |
| A. | \[0.\overline{6}\] |
| B. | \[0.\overline{7}\] |
| C. | \[0.\overline{8}\] |
| D. | \[0.\overline{9}\] |
| Answer» B. \[0.\overline{7}\] | |
| 608. |
Which of the following is the value of a in \[\frac{\sqrt{\mathbf{5}}\mathbf{-}\sqrt{\mathbf{3}}}{\sqrt{\mathbf{5}}\mathbf{+}\sqrt{\mathbf{3}}}\mathbf{=a+b}\sqrt{\mathbf{15}}\] |
| A. | 2 |
| B. | -1 |
| C. | -3 |
| D. | 4 |
| Answer» E. | |
| 609. |
The value of x, when \[{{\mathbf{2}}^{x+4}}{{.3}^{x+\mathbf{l}}}=\mathbf{288}\] |
| A. | 1 |
| B. | -1 |
| C. | 0 |
| D. | 2 |
| Answer» B. -1 | |
| 610. |
If \[x=2-\sqrt{3}\], then the value of \[~{{\mathbf{x}}^{\mathbf{2}}}+\mathbf{4x}+\mathbf{4}\] is. |
| A. | \[12+2\sqrt{3}\] |
| B. | \[19+8\sqrt{3}\] |
| C. | \[12+2\sqrt{3}\] |
| D. | \[19-8\sqrt{3}\] |
| Answer» E. | |
| 611. |
if \[2\sqrt[3]{189}+3\sqrt[3]{448}-7\sqrt[3]{56}\] is simplified, then the resultant answer is |
| A. | \[8\sqrt[3]{7}\] |
| B. | \[6\sqrt[3]{7}\] |
| C. | \[4\sqrt[3]{7}\] |
| D. | \[9\sqrt[3]{7}\] |
| Answer» D. \[9\sqrt[3]{7}\] | |
| 612. |
\[\frac{{{\mathbf{4}}^{\mathbf{-}}}^{\mathbf{3}}\mathbf{\times }{{\mathbf{a}}^{\mathbf{-}}}^{\mathbf{5}}\mathbf{\times }{{\mathbf{b}}^{\mathbf{4}}}}{{{\mathbf{4}}^{\mathbf{-}}}^{5}\mathbf{\times }{{\mathbf{a}}^{\mathbf{-}}}^{8}\mathbf{\times }{{\mathbf{b}}^{3}}}=\] |
| A. | \[\frac{16{{a}^{3}}}{{{b}^{7}}}\] |
| B. | \[8\frac{{{a}^{2}}}{{{b}^{-7}}}\] |
| C. | \[2\frac{{{a}^{-13}}}{{{b}^{-7}}}\] |
| D. | \[\frac{{{a}^{8}}}{{{b}^{-1}}}\] |
| Answer» B. \[8\frac{{{a}^{2}}}{{{b}^{-7}}}\] | |
| 613. |
If \[\mathbf{a=3+2}\sqrt{\mathbf{2}}\]and \[\mathbf{b=}\frac{\mathbf{1}}{\mathbf{a}}\], then \[{{\mathbf{a}}^{\mathbf{2}}}\mathbf{+}{{\mathbf{b}}^{\mathbf{2}}}\mathbf{=}\] |
| A. | 49 |
| B. | 34 |
| C. | 100 |
| D. | 102 |
| Answer» C. 100 | |
| 614. |
If \[\mathbf{x=}\frac{\sqrt{\mathbf{2}}\mathbf{+}\sqrt{\mathbf{1}}}{\sqrt{\mathbf{2}}\mathbf{-}\sqrt{\mathbf{1}}}\] and \[y\mathbf{=}\frac{\sqrt{\mathbf{2}}-\sqrt{\mathbf{1}}}{\sqrt{\mathbf{2}}+\sqrt{\mathbf{1}}}\], find the value of \[{{\mathbf{x}}^{\mathbf{2}}}\mathbf{-}{{\mathbf{y}}^{\mathbf{2}}}\] |
| A. | 96 |
| B. | 34 |
| C. | 10 |
| D. | \[2\sqrt{2}\] |
| Answer» C. 10 | |
| 615. |
If \[{{\left( 3 \right)}^{0.\overline{4}+0.\overline{5}}}=x,{{\left( 27 \right)}^{0.\overline{21}+0.\overline{12}}}\] then \[x\times y\] is |
| A. | \[{{3}^{4}}\] |
| B. | \[{{3}^{3}}\] |
| C. | 32 |
| D. | \[{{3}^{5}}\] |
| Answer» D. \[{{3}^{5}}\] | |
| 616. |
The decimal representation of \[\frac{-26}{45}\] is |
| A. | \[.3\overline{5}\] |
| B. | \[-1\overline{55}\] |
| C. | \[-.3\overline{55}\] |
| D. | \[-\,0.5\overline{7}\] |
| Answer» E. | |
| 617. |
A rational numbers between \[-\,\mathbf{3}\] and 4. |
| A. | - 4.5 |
| B. | -3.5 |
| C. | \[\frac{13}{2}\] |
| D. | \[\frac{1}{2}\] |
| Answer» E. | |
| 618. |
If \[\mathbf{x}=\frac{\sqrt{3}}{2}\], then the value of \[\sqrt{\mathbf{l}+\mathbf{a}}+\sqrt{\mathbf{l}-\mathbf{a}}\] is |
| A. | \[\sqrt{3}\] |
| B. | \[\frac{\sqrt{3}}{2}\] |
| C. | \[2+\sqrt{3}\] |
| D. | \[2-\sqrt{3}\] |
| Answer» B. \[\frac{\sqrt{3}}{2}\] | |
| 619. |
The LCM of two numbers is 280 and their ratio is \[7:8\]. The numbers |
| A. | 70, 80 |
| B. | 54, 68 |
| C. | 35, 40 |
| D. | 28, 36 |
| E. | None of these |
| Answer» D. 28, 36 | |
| 620. |
What is the value of \[\frac{15}{\sqrt{10}+\sqrt{20}+\sqrt{40}-\sqrt{5}-\sqrt{80}}\], is being given that \[\sqrt{\mathbf{5}}=\mathbf{2}.\mathbf{236}\] and \[\sqrt{10}=3.1\mathbf{6}2\] |
| A. | 5.398 |
| B. | 4.258 |
| C. | 5.355 |
| D. | 3.855 |
| Answer» B. 4.258 | |
| 621. |
If \[\mathbf{x=}\frac{\mathbf{1}}{\mathbf{2-}\sqrt{\mathbf{3}}}\], what is the value of \[{{\mathbf{x}}^{\mathbf{3}}}-\mathbf{2}{{\mathbf{x}}^{\mathbf{2}}}-\mathbf{7x}+\mathbf{5}\] |
| A. | 2 |
| B. | 3 |
| C. | 5 |
| D. | 9 |
| Answer» C. 5 | |
| 622. |
Three spherical metal balls of radii 5, 8 and R cm are melted into a solid sphere of radius 12 cm. The value of R is: |
| A. | 8 |
| B. | 10 |
| C. | 14 |
| D. | 18 |
| E. | None of these |
| Answer» C. 14 | |
| 623. |
Two poles 15 metres and 30 metres high stand upright in a playground. If their feet be 36 metres apart, find the distance between their tops. |
| A. | 36 m |
| B. | 39 m |
| C. | 15 m |
| D. | 30 m |
| E. | None of these |
| Answer» C. 15 m | |
| 624. |
Six books P, Q, R, S, T and U are placed side by side. R, Q and T have blue covers and other books have red covers. Only S and U are new books and the rest are old, P, R and S are law reports, the rest are Gazetteers. Which two books are old Gazetteers with blue covers? |
| A. | Q and R |
| B. | Q and T |
| C. | Q and U |
| D. | T and U |
| Answer» C. Q and U | |
| 625. |
Which number will replace the question mark, if the same rule is followed in all the three figures? |
| A. | 8 |
| B. | 4 |
| C. | 10 |
| D. | 6 |
| Answer» D. 6 | |
| 626. |
If 'P + Q' means 'P is the brother of Q'; means 'P is the father of Q'; 'P - Q' means 'P is the mother of Q'; which of the following would mean 'R is the son of M' ? |
| A. | |
| B. | |
| C. | |
| D. | |
| Answer» D. | |
| 627. |
Which of the following options will continue the pattern in the given series? 6, 11, 21, 36, 56, ? |
| A. | 42 |
| B. | 51 |
| C. | 81 |
| D. | 91 |
| Answer» D. 91 | |
| 628. |
In a certain code language, (i) 'po ki top ma' means 'Usha is playing cards'. (ii) 'kob ja ki ma' means 'Asha is playing tennis'. (iii) 'ki top so ho' means They are playing football'. (iv) 'po sur kob' means 'Cards and tennis'. Which word in that language means 'Asha'? |
| A. | ja |
| B. | ma |
| C. | kob |
| D. | top |
| Answer» B. ma | |
| 629. |
In the given letter series how many 'R's are preceded by 'P', but not followed by ?S'? S R P R Q R S P R P R P O R P S T P O |
| A. | 4 |
| B. | 3 |
| C. | 2 |
| D. | 1 |
| Answer» C. 2 | |
| 630. |
In the given figure, a square sheet of paper has been folded and punched as shown. How would the paper look like when unfolded? |
| A. | |
| B. | |
| C. | |
| D. | |
| Answer» E. | |
| 631. |
Which of the following figures will continue the same series as established by the five Problem Figures? |
| A. | |
| B. | |
| C. | |
| D. | |
| Answer» E. | |
| 632. |
A number arrangement machine when given an input of numbers, rearranges them following a particular rule in each step. The following is an illustration of input and steps of rearrangement. Input: 25 280 345 36 93 147 550 Step-I: 550 280 345 36 93 147 25 Step-II: 550 345 280 36 93 147 25 Step-III: 550 345 280 147 93 36 25 Step III is the last step for this input. What will be the third step for the following input? Input: 113 18 48 225 462 175 288 |
| A. | 462 288 48 225 113 175 18 |
| B. | 462 288 225 175 113 48 18 |
| C. | 462 225 288 48 113 175 18 |
| D. | 462 288 225 48 113 175 18 |
| Answer» E. | |
| 633. |
In the given Venn diagram, the triangle represents female graduates, small circle represents self-employed females and the big circle represents self-employed females with bank loan facility. Which number represents non-graduate self-employed females are with bank loan facility? |
| A. | 2 |
| B. | 9 |
| C. | 6 |
| D. | 1 |
| Answer» D. 1 | |
| 634. |
Two rows of numbers are given. The resultant numbers in each row is to be on the following rules of number is to be answered. The operation of numbers progress from left to right. Rules: (i) If an odd number is followed by another composite odd number, they are to be multiplied. (ii) If an even number is followed by an odd number, they are to be added. (iii) If an even number is followed by a number which is a perfect square, the even number is to be subtracted from the perfect square. (iv) If an odd number is followed by an even number, the second one is to be subtracted from the first one. (v) If an odd number is followed by a prime odd number, the first number is to be divided by the second number. If is the resultant of the first row, then what will be the resultant of the second row? |
| A. | 5 |
| B. | 10 |
| C. | 45 |
| D. | 75 |
| Answer» E. | |
| 635. |
How many pairs of letters are there in the word PRIMOGENITURE which have the same number of letters between them as in English alphabet? |
| A. | Nine |
| B. | Four |
| C. | Seven |
| D. | Ten |
| Answer» E. | |
| 636. |
A blacksmith has five iron articles A, B, C, D and E, each having a different weight. (i) A weighs twice as much as B. (ii) B weighs four and a half times as much as C. (iii) C weighs half as much as D. (iv) D weighs half as much as E. (v) E weighs less than A but more than C. Which of the following is the lightest? |
| A. | A |
| B. | B |
| C. | C |
| D. | D |
| Answer» D. D | |
| 637. |
For \[x>1\] and \[\mathbf{lo}{{\mathbf{g}}_{\mathbf{b}}}\mathbf{x}\] is negative, then: |
| A. | \[b>0\] |
| B. | \[0<b<1\] |
| C. | \[b<0\] |
| D. | \[-\text{ }1<b<1\] |
| E. | None of these |
| Answer» C. \[b<0\] | |
| 638. |
If \[{{\log }_{2}}\left[ {{\log }_{3}}\left( {{\log }_{2}}x \right) \right]=1\], then x is equal to: |
| A. | 0 |
| B. | 12 |
| C. | 128 |
| D. | 512 |
| Answer» E. | |
| 639. |
If a > 1 and \[\mathbf{lo}{{\mathbf{g}}_{\mathbf{a}}}\mathbf{x}\] is negative them _______ |
| A. | \[x>0\] |
| B. | \[x>1\] |
| C. | \[-\,1<x<1\] |
| D. | \[0<x<1\] |
| E. | None of these |
| Answer» E. None of these | |
| 640. |
If \[\mathbf{x}>\mathbf{1}\]and \[\mathbf{a}>\mathbf{1},\] then \[\mathbf{lo}{{\mathbf{g}}_{\mathbf{a}}}\mathbf{x}\] is _______ |
| A. | positive |
| B. | negative |
| C. | zero |
| D. | both positive and negative |
| E. | None of these |
| Answer» B. negative | |
| 641. |
If \[\mathbf{lo}{{\mathbf{g}}_{\mathbf{27}\sqrt{\mathbf{3}}}}\mathbf{ 729=x}\], then log x equals to: |
| A. | \[\log \left( \frac{5}{2} \right)\] |
| B. | \[\log \left( \frac{7}{12} \right)\] |
| C. | \[\log \left( \frac{2}{5} \right)\] |
| D. | \[\log \left( \frac{12}{7} \right)\] |
| E. | None of these |
| Answer» E. None of these | |
| 642. |
Find the value of\[^{\mathbf{3}}\sqrt{\mathbf{44}\mathbf{.59}}\] approximately. |
| A. | 2.546 |
| B. | 3.546 |
| C. | 2.8936 |
| D. | 3.245 |
| E. | None of these |
| Answer» C. 2.8936 | |
| 643. |
\[{{\log }_{2}}1.\,{{\log }_{3}}2.\,{{\log }_{4}}3\,.\,lo{{g}_{5}}4\,.\,lo{{g}_{6}}5....{{\log }_{100}}99\]\[=\_\_\_\_\_.\] |
| A. | \[\infty \] |
| B. | 0 |
| C. | 1 |
| D. | Cannot be determined |
| Answer» C. 1 | |
| 644. |
\[log\left( \frac{1}{2} \right)+log\left( \frac{2}{3} \right)+log\left( \frac{3}{4} \right)+......+log\left( \frac{999}{10000} \right)\text{= }\!\!\_\!\!\text{ }\!\!\_\!\!\text{ }\!\!\_\!\!\text{ }\!\!\_\!\!\text{ }\!\!\_\!\!\text{ }\!\!\_\!\!\text{ }\text{.}\] |
| A. | \[-3\] |
| B. | \[-1\] |
| C. | 0 |
| D. | 2 |
| Answer» B. \[-1\] | |
| 645. |
If \[\mathbf{lo}{{\mathbf{g}}_{\mathbf{54}}}\mathbf{16}=\mathbf{a}\], then find the value of \[\mathbf{lo}{{\mathbf{g}}_{\mathbf{36}}}\mathbf{3}\]. |
| A. | \[\frac{8+2a}{2-a}\] |
| B. | \[\frac{4-a}{8+4a}\] |
| C. | \[\frac{2-a}{8+2a}\] |
| D. | \[\frac{8+4a}{4-a}\] |
| E. | None of these |
| Answer» C. \[\frac{2-a}{8+2a}\] | |
| 646. |
If \[\mathbf{lo}{{\mathbf{g}}_{3}}\mathbf{2}=\mathbf{x}\] then the value of \[\frac{\mathbf{lo}{{\mathbf{g}}_{10}}7\mathbf{2}}{\mathbf{lo}{{\mathbf{g}}_{10}}\mathbf{2}4}\] Is |
| A. | \[\frac{1+x}{1-x}\] |
| B. | \[\frac{2+3x}{1+3x}\] |
| C. | \[\frac{2-3x}{2+3x}\] |
| D. | \[\frac{3x+1}{3x+2}\] |
| Answer» C. \[\frac{2-3x}{2+3x}\] | |
| 647. |
If \[{{\mathbf{2}}^{\mathbf{a}}}={{\left( \mathbf{0}.\mathbf{02} \right)}^{\mathbf{b}}}=\mathbf{100}\], then the value of \[\frac{\mathbf{1}}{\mathbf{a}}-\frac{\mathbf{1}}{\mathbf{b}}\] is equal to _________ |
| A. | 0 |
| B. | 1 |
| C. | \[\frac{1}{2}\] |
| D. | \[\frac{1}{4}\] |
| E. | None of these |
| Answer» C. \[\frac{1}{2}\] | |
| 648. |
If \[\frac{\log x}{\log y}=\frac{\log 64}{\log 8}\], then the relation between x and \[\gamma \] is. |
| A. | \[x=\sqrt{y}\] |
| B. | \[x={{y}^{3}}\] |
| C. | \[y={{x}^{2}}\] |
| D. | \[x={{y}^{2}}\] |
| Answer» E. | |
| 649. |
Which is greatest among the following? |
| A. | \[lo{{g}_{2}}20\] |
| B. | \[lo{{g}_{7}}35\] |
| C. | \[lo{{g}_{5}}70\] |
| D. | \[lo{{g}_{3}}68\] |
| Answer» B. \[lo{{g}_{7}}35\] | |
| 650. |
If \[\mathbf{lo}{{\mathbf{g}}_{\mathbf{(}{{\mathbf{a}}^{\mathbf{2}}}-{{\mathbf{b}}^{\mathbf{2}}}\mathbf{)}}}\left( {{\mathbf{a}}^{\mathbf{2}}}+{{\mathbf{b}}^{\mathbf{2}}}-\mathbf{2ab} \right)\] then find the value of. |
| A. | 0 |
| B. | 1 |
| C. | \[\frac{1}{4}\] |
| D. | \[\frac{1}{2}\] |
| E. | None of these |
| Answer» E. None of these | |