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MCQOPTIONS
This section includes 2154 Mcqs, each offering curated multiple-choice questions to sharpen your 7th Class knowledge and support exam preparation. Choose a topic below to get started.
| 1201. |
Which is greater \[{{2}^{3}}\] or \[{{5}^{2}}\]? |
| A. | Both are equal. |
| B. | \[{{2}^{3}}\] |
| C. | \[{{5}^{2}}\] |
| D. | Cannot be determined. |
| Answer» D. Cannot be determined. | |
| 1202. |
The speed of light in vacuum is\[300,\text{ }000,\text{ }000\text{ }m{{s}^{-1}}\]. Express it in standard form. |
| A. | \[3.0\times {{10}^{8}}\,m{{s}^{-1}}\] |
| B. | \[3.0\times {{10}^{10}}\,m{{s}^{-1}}\] |
| C. | \[3.0\times {{10}^{6}}\,m{{s}^{-1}}\] |
| D. | \[3.0\times {{10}^{12}}\,m{{s}^{-1}}\] |
| Answer» B. \[3.0\times {{10}^{10}}\,m{{s}^{-1}}\] | |
| 1203. |
Which of the following equals \[(-1)\]? |
| A. | \[{{(3-2)}^{235}}\] |
| B. | \[{{(-1)}^{47}}\] |
| C. | Both [a] and [b] |
| D. | Neither [a] nor [b] |
| Answer» C. Both [a] and [b] | |
| 1204. |
What is the simplified form of \[{{(-5xy)}^{4}}\div {{(-5xy)}^{2}}\]? |
| A. | \[{{(-5xy)}^{6}}\] |
| B. | \[{{(-5xy)}^{8}}\] |
| C. | \[{{(-5xy)}^{4}}\] |
| D. | \[{{(-5xy)}^{2}}\] |
| Answer» E. | |
| 1205. |
A The mass of the Earth is 5,976,000,000, 000,000,000,000,000 kg. How is the mass of Earth expressed in standard form? |
| A. | \[5.976\times {{10}^{24}}\,kg\] |
| B. | \[5.976\times {{10}^{21}}\,kg\] |
| C. | \[5976\times {{10}^{21}}\,kg\] |
| D. | \[59.76\times {{10}^{23}}\,kg\] |
| Answer» B. \[5.976\times {{10}^{21}}\,kg\] | |
| 1206. |
Simplify \[\frac{a{{b}^{2}}{{c}^{3}}\times {{a}^{4}}{{b}^{5}}{{c}^{-5}}}{{{a}^{-7}}{{b}^{-8}}{{c}^{9}}\times {{a}^{10}}{{b}^{11}}{{c}^{-12}}\times {{a}^{13}}{{b}^{-14}}{{c}^{15}}}\]. |
| A. | \[{{a}^{11}}{{b}^{18}}{{c}^{-15}}\] |
| B. | \[{{a}^{11}}{{b}^{18}}{{c}^{15}}\] |
| C. | \[{{a}^{-11}}{{b}^{-18}}{{c}^{15}}\] |
| D. | \[{{a}^{-11}}{{b}^{18}}{{c}^{-15}}\] |
| Answer» E. | |
| 1207. |
Find the value of x. \[{{({{5}^{3}})}^{x}}\times {{({{5}^{8}})}^{x}}={{5}^{72}}\] |
| A. | \[x=6\frac{6}{11}\] |
| B. | \[x=9\] |
| C. | \[x=6\] |
| D. | \[x=8\] |
| Answer» B. \[x=9\] | |
| 1208. |
Solve \[{{9}^{2x}}=729.\] |
| A. | \[x=\frac{3}{4}\] |
| B. | \[x=\frac{2}{3}\] |
| C. | \[x=\frac{5}{6}\] |
| D. | \[x=\frac{3}{2}\] |
| Answer» E. | |
| 1209. |
\[\left\{ {{\left( \frac{1}{3} \right)}^{-3}}-{{\left( \frac{1}{2} \right)}^{-3}} \right\}\div {{\left( \frac{1}{4} \right)}^{-3}}=?\] |
| A. | \[\frac{19}{64}\] |
| B. | \[\frac{64}{19}\] |
| C. | \[\frac{27}{16}\] |
| D. | \[\frac{16}{27}\] |
| Answer» B. \[\frac{64}{19}\] | |
| 1210. |
Express \[{{6}^{2}}\times {{7}^{-4}}\times {{({{8}^{-2}})}^{2}}\times {{6}^{3}}\times {{7}^{2}}\times {{8}^{4}}\] in the simplest exponential form. |
| A. | \[{{6}^{5}}\,{{7}^{2}}\] |
| B. | \[\frac{{{6}^{5}}}{{{7}^{2}}}\] |
| C. | \[{{6}^{-5}}\,{{7}^{2}}\] |
| D. | \[{{6}^{-5}}\,{{7}^{-2}}\] |
| Answer» C. \[{{6}^{-5}}\,{{7}^{2}}\] | |
| 1211. |
Simplify \[\frac{{{({{a}^{-n}})}^{m}}\times {{a}^{-2m}}}{{{a}^{mn}}\times {{a}^{2m}}}\]. |
| A. | \[{{a}^{2m(n-2)}}\] |
| B. | \[{{a}^{2m(2n-4)}}\] |
| C. | \[{{a}^{-2m(n+2)}}\] |
| D. | \[{{a}^{2m(n-4)}}\] |
| Answer» D. \[{{a}^{2m(n-4)}}\] | |
| 1212. |
Find the numerical value of \[{{256}^{0.75}}\]. |
| A. | \[64\] |
| B. | \[256\] |
| C. | \[1\] |
| D. | \[{{4}^{-3}}\] |
| Answer» B. \[256\] | |
| 1213. |
Fill in the blanks. (i) A number is said to be in the ___ form. if it is expressed as the product of a number between 1 and 10 and the integral power of 10. (ii) \[{{2}^{0}}\times {{3}^{0}}+{{1}^{0}}\times 3=\_\_\_\] (iii) \[\left( {{\left( {{2}^{2}} \right)}^{2}}\times {{7}^{2}} \right)\div \left( {{8}^{3}}\times 7 \right)=\_\_\_\_\_\_\_\_\_.\] |
| A. | (i) (ii) (iii) Standard 4 \[7\times {{2}^{-5}}\] |
| B. | (i) (ii) (iii) Exponential 4 \[7\times {{2}^{-4}}\] |
| C. | (i) (ii) (iii) Exponential 2 \[7\times {{2}^{5}}\] |
| D. | (i) (ii) (iii) Standard 2 \[7\times {{2}^{4}}\] |
| Answer» B. (i) (ii) (iii) Exponential 4 \[7\times {{2}^{-4}}\] | |
| 1214. |
Simplify \[\frac{{{p}^{4}}{{q}^{3}}\times {{p}^{2}}{{r}^{4}}\times {{q}^{-2}}\times {{r}^{3}}}{{{p}^{-3}}{{q}^{3}}{{r}^{3}}}\]. |
| A. | \[{{p}^{3}}{{q}^{4}}{{r}^{7}}\] |
| B. | \[{{p}^{3}}{{q}^{4}}{{r}^{10}}\] |
| C. | \[{{p}^{-9}}{{q}^{2}}{{r}^{-4}}\] |
| D. | \[{{p}^{9}}{{q}^{-2}}{{r}^{4}}\] |
| Answer» E. | |
| 1215. |
State T for true and T' for false. (P) If x and y are non-zero rational numbers and m is a positive integer, then \[{{x}^{m}}\times {{y}^{m}}={{(xy)}^{2m}}\] and \[{{x}^{m}}\div {{y}^{m}}={{\left( \frac{x}{y} \right)}^{1}}.\] (Q) Standard form of 38000000 is\[3.8\times {{10}^{7}}\]. (R) The base and power in \[{{(-16\times 2)}^{4}}\]is \[-32\] and 4 respectively. (S) \[{{6}^{2}}\] is greater than \[{{2}^{6}}\]. |
| A. | (P) (Q) (R) (S) T F F T |
| B. | (P) (Q) (R) (S) F T T F |
| C. | (P) (Q) (R) (S) F T F T |
| D. | (P) (Q) (R) (S) T F T F |
| Answer» C. (P) (Q) (R) (S) F T F T | |
| 1216. |
Simplify and leave the answer in exponent form. \[{{\left( \frac{6}{7} \right)}^{-2}}\times {{\left( \frac{7}{6} \right)}^{-2}}\] |
| A. | \[\frac{7}{6}\] |
| B. | \[1\] |
| C. | \[\frac{-6}{7}\] |
| D. | \[\frac{6}{7}\] |
| Answer» C. \[\frac{-6}{7}\] | |
| 1217. |
Solve \[{{9}^{4x}}\div {{3}^{2x}}=2187\]. |
| A. | \[x=\frac{6}{7}\] |
| B. | \[x=\frac{-7}{6}\] |
| C. | \[x=\frac{7}{6}\] |
| D. | \[x=\frac{-6}{7}\] |
| Answer» D. \[x=\frac{-6}{7}\] | |
| 1218. |
Compare the following and put the correct sign. I. \[{{({{3}^{2}})}^{3}}\] II. \[{{({{8}^{4}})}^{\frac{1}{2}}}\] III. \[{{({{3}^{1/3}})}^{9}}\] |
| A. | I II III > < = |
| B. | I II III < = > |
| C. | I II III < > > |
| D. | I II III < > > |
| Answer» E. | |
| 1219. |
Simplify \[\frac{{{(9{{m}^{2}})}^{1/3}}}{{{6}^{4}}}\times \frac{{{(4{{n}^{2}})}^{1/3}}}{5m}\]. |
| A. | \[\frac{1}{5}{{\left[ \frac{{{n}^{2}}}{m{{6}^{10}}} \right]}^{1/3}}\] |
| B. | \[\frac{1}{5}{{\left[ \frac{n}{{{m}^{2}}{{6}^{10}}} \right]}^{1/3}}\] |
| C. | \[\frac{1}{5}{{\left[ \frac{{{n}^{2}}}{m{{6}^{-10}}} \right]}^{1/3}}\] |
| D. | \[\frac{1}{5}{{\left[ \frac{{{n}^{2}}}{m{{6}^{10}}} \right]}^{2/3}}\] |
| Answer» B. \[\frac{1}{5}{{\left[ \frac{n}{{{m}^{2}}{{6}^{10}}} \right]}^{1/3}}\] | |
| 1220. |
Match the following. Column-l Column-II (P) \[\left[ {{({{5}^{3}})}^{2}}\times {{5}^{5}} \right]\div {{5}^{9}}\] (i) \[{{(-6)}^{3}}\] (Q) \[{{(-6)}^{5}}\div {{(6)}^{2}}\] (ii) 2 (R) \[({{5}^{0}}+{{3}^{0}})\div ({{8}^{0}})\] (iii) 1 (S) \[{{(7/19)}^{0}}\] (iv) 25 |
| A. | (P)\[\to \](i), (Q)\[\to \](ii), (R)\[\to \](iii), (S)\[\to \](iv) |
| B. | (P)\[\to \](ii), (Q)\[\to \](iii), (r)\[\to \](iv), (S)\[\to \](i) |
| C. | (P)\[\to \](iv), (Q)\[\to \](i). (R)\[\to \](ii), (S)\[\to \](iii) |
| D. | (P)\[\to \](iv), (Q)\[\to \](ii), (R)\[\to \](i), (S)\[\to \](iii) |
| Answer» D. (P)\[\to \](iv), (Q)\[\to \](ii), (R)\[\to \](i), (S)\[\to \](iii) | |
| 1221. |
Find the numerical value of \[{{(4096)}^{\frac{-3}{4}}}\]. |
| A. | \[1024\] |
| B. | \[512\] |
| C. | \[256\] |
| D. | \[\frac{1}{512}\] |
| Answer» E. | |
| 1222. |
Mr Gupta asked two of his students to solve the expression \[{{\left( \frac{9{{a}^{3}}{{b}^{-8}}}{81{{a}^{-5}}{{b}^{2}}} \right)}^{-\frac{1}{2}}}\]and write the answer on blackboard. Aryan wrote the answer as \[3{{a}^{-4}}{{b}^{5}}\] whereas Ayan wrote the answer as \[\frac{3{{b}^{5}}}{{{a}^{4}}}\]. Who wrote the correct answer? |
| A. | Aryan |
| B. | Ayan |
| C. | Both of them |
| D. | None of these |
| Answer» D. None of these | |
| 1223. |
The value of \[\frac{{{\left( -\frac{1}{2} \right)}^{5}}}{{{\left( -\frac{1}{2} \right)}^{4}}}+\frac{\left( -\frac{1}{8} \right)}{\left( -\frac{1}{4} \right)}\] is ____. |
| A. | 2 |
| B. | 0 |
| C. | 1 |
| D. | \[-1\] |
| Answer» E. | |
| 1224. |
What is the value of \[{{\left( \frac{16}{81} \right)}^{2}}\]? |
| A. | \[\frac{9}{2}\] |
| B. | \[\frac{2}{9}\] |
| C. | \[{{\left( \frac{2}{3} \right)}^{8}}\] |
| D. | \[\frac{27}{8}\] |
| Answer» D. \[\frac{27}{8}\] | |
| 1225. |
There are three places A, B, C in a straight line as shown below. If distance between place A and B is \[(2.4\times {{10}^{6}})m\] and distance between 8 and C is \[(5.2\times {{10}^{5}})m,\] then find the distance between place A and C in standard form. |
| A. | \[(292\times {{10}^{6}})km\] |
| B. | \[(2.92\times {{10}^{6}})km\] |
| C. | \[(292\times {{10}^{5}})km\] |
| D. | \[(2.92\times {{10}^{4}})\,m\] |
| Answer» C. \[(292\times {{10}^{5}})km\] | |
| 1226. |
Express 15625 as a power of 5. |
| A. | \[{{5}^{6}}\] |
| B. | \[{{5}^{4}}\] |
| C. | \[{{5}^{8}}\] |
| D. | \[{{5}^{7}}\] |
| Answer» B. \[{{5}^{4}}\] | |
| 1227. |
All the planets revolve around the Sun in elliptical orbits. Uranus's farthest distance from the Sun is approximately \[3.004\times {{10}^{9}}\text{ }km\]and its closest distance is approximately \[2.7499\times {{10}^{9}}km\]km. What is the average distance of Uranus from the Sun? |
| A. | \[(2.476\times {{10}^{9}})\,km\] |
| B. | \[(2.8765\times {{10}^{9}})\,km\] |
| C. | \[(2.876\times {{10}^{8}})\,km\] |
| D. | None of these |
| Answer» C. \[(2.876\times {{10}^{8}})\,km\] | |
| 1228. |
How is 65950 expressed in standard form? |
| A. | \[6.59\text{ }x{{10}^{6}}\] |
| B. | \[6.595\text{ }x{{10}^{5}}\] |
| C. | \[6.595\text{ }x{{10}^{4}}\] |
| D. | \[6.59\text{ }x{{10}^{5}}\] |
| Answer» D. \[6.59\text{ }x{{10}^{5}}\] | |
| 1229. |
A rectangular piece of land is to be sold off in smaller pieces. The total area of the land is 217 sq. miles. The pieces to the cut out are 162 sq. miles in size. How many smaller pieces of the land can be sold at the given size? |
| A. | 215 |
| B. | 164 |
| C. | 29 |
| D. | None of these |
| Answer» D. None of these | |
| 1230. |
What is the result of \[\frac{2\times {{3}^{4}}\times {{2}^{5}}}{9\times {{4}^{2}}}\]? |
| A. | \[36\] |
| B. | \[42\] |
| C. | \[46\] |
| D. | \[48\] |
| Answer» B. \[42\] | |
| 1231. |
The value of \[{{\left( \frac{23}{25} \right)}^{0}}\times {{\left( \frac{-1}{2} \right)}^{5}}\times {{2}^{3}}\times {{\left( \frac{3}{4} \right)}^{2}}\]is |
| A. | \[-\frac{9}{64}\] |
| B. | \[\frac{9}{64}\] |
| C. | \[\frac{64}{9}\] |
| D. | \[-\frac{64}{9}\] |
| Answer» B. \[\frac{9}{64}\] | |
| 1232. |
What is the value of \[\left[ {{\left( \frac{1}{4} \right)}^{2}}-{{\left( \frac{1}{4} \right)}^{2}} \right]\times {{2}^{6}}\]? |
| A. | \[1\] |
| B. | \[2\] |
| C. | \[3\] |
| D. | \[4\] |
| Answer» D. \[4\] | |
| 1233. |
The value of \[{{a}^{b}}-{{b}^{a}},\]if \[a=3,\text{ }b=7\]is |
| A. | 1825 |
| B. | 1840 |
| C. | 1844 |
| D. | 1850 |
| Answer» D. 1850 | |
| 1234. |
Express \[{{(-2)}^{3}}\div {{m}^{3}}\] in the form \[{{\left( \frac{a}{b} \right)}^{m}}\]. |
| A. | \[\frac{-{{2}^{3}}}{{{m}^{3}}}\] |
| B. | \[{{\left( -\frac{2}{m} \right)}^{3}}\] |
| C. | \[\frac{{{(-2)}^{3}}}{{{m}^{3}}}\] |
| D. | \[-\left( \frac{2}{m} \right)\left( \frac{-2}{m} \right)\] |
| Answer» C. \[\frac{{{(-2)}^{3}}}{{{m}^{3}}}\] | |
| 1235. |
The value of \[\frac{{{6}^{12}}\times {{(35)}^{28}}\times {{(15)}^{16}}}{{{(14)}^{12}}\times {{(21)}^{11}}\times {{5}^{28}}}\] is??. |
| A. | \[{{2}^{6}}\times {{3}^{16}}\times {{5}^{12}}\] |
| B. | \[{{3}^{17}}\times {{5}^{16}}\times {{7}^{5}}\] |
| C. | \[{{2}^{6}}\times {{5}^{16}}\times {{7}^{12}}\] |
| D. | \[{{2}^{7}}\times {{3}^{17}}\times {{7}^{5}}\] |
| Answer» C. \[{{2}^{6}}\times {{5}^{16}}\times {{7}^{12}}\] | |
| 1236. |
What is the sum of the powers of the prime factors in \[108\times 192\]? |
| A. | \[5\] |
| B. | \[7\] |
| C. | \[8\] |
| D. | \[12\] |
| Answer» E. | |
| 1237. |
Which of the following values are equal? (i) \[{{1}^{4}}\] (ii) \[{{4}^{0}}\] (iii) \[{{0}^{4}}\] (iv) \[{{4}^{1}}\] |
| A. | (i) and (ii) |
| B. | (ii) and (iii) |
| C. | (i) and (iii) |
| D. | (i) and (iv) |
| Answer» B. (ii) and (iii) | |
| 1238. |
If \[{{\left( \frac{3}{2} \right)}^{2}}\times {{\left( \frac{3}{2} \right)}^{a+5}}={{\left( \frac{3}{2} \right)}^{8}},\]then a=____. |
| A. | \[-1\] |
| B. | 0 |
| C. | 1 |
| D. | 2 |
| Answer» D. 2 | |
| 1239. |
Evaluate \[{{\left( \frac{5}{6} \right)}^{5}}\] . |
| A. | \[{{\left( \frac{6}{5} \right)}^{5}}\] |
| B. | \[{{({{5}^{6}})}^{5}}\] |
| C. | \[\frac{{{5}^{5}}}{{{6}^{5}}}\] |
| D. | \[{{({{5}^{5}})}^{6}}\] |
| Answer» D. \[{{({{5}^{5}})}^{6}}\] | |
| 1240. |
Which of the following is equivalent to \[7.7\times {{10}^{-6}}\]? |
| A. | \[0.00000077\] |
| B. | \[0.0000077\] |
| C. | \[0.000077\] |
| D. | \[0.00077\] |
| Answer» C. \[0.000077\] | |
| 1241. |
\[{{2}^{3}}+{{2}^{3}}+{{2}^{3}}+{{2}^{3}}\]is equal to ____. |
| A. | \[{{2}^{5}}\] |
| B. | \[{{2}^{12}}\] |
| C. | 281 |
| D. | 216 |
| Answer» B. \[{{2}^{12}}\] | |
| 1242. |
What is the value of \[({{3}^{0}}-{{4}^{0}})\times {{5}^{2}}\]? |
| A. | \[25\] |
| B. | \[0\] |
| C. | \[-25\] |
| D. | \[1\] |
| Answer» C. \[-25\] | |
| 1243. |
Which of the following is the smallest number? |
| A. | \[{{1}^{5}}\] |
| B. | \[{{(-10)}^{1}}\] |
| C. | \[{{(-1)}^{4}}\] |
| D. | \[{{(-1)}^{3}}\] |
| Answer» C. \[{{(-1)}^{4}}\] | |
| 1244. |
Express \[{{\left( -3 \right)}^{4}}\div {{n}^{4}}\]in the form\[{{\left( \frac{a}{b} \right)}^{m}}\]. |
| A. | \[\frac{-24}{{{n}^{3}}}\] |
| B. | \[{{\left( -\frac{3}{4} \right)}^{4}}\] |
| C. | \[\frac{{{\left( -2 \right)}^{4}}}{{{n}^{4}}}\] |
| D. | \[\left( \frac{-3}{n} \right)\times \left( \frac{-3}{n} \right)\] |
| Answer» C. \[\frac{{{\left( -2 \right)}^{4}}}{{{n}^{4}}}\] | |
| 1245. |
What is the sum of the powers of the prime factors in\[72\times 1927\]? |
| A. | 5 |
| B. | 7 |
| C. | 8 |
| D. | 12 |
| Answer» E. | |
| 1246. |
The value of \[\frac{{{x}^{-4}}\times {{y}^{-6}}}{{{x}^{-16}}\times {{y}^{-7}}}\] |
| A. | \[{{x}^{-1}}\times {{y}^{-1}}\] |
| B. | \[{{x}^{-1}}\text{ }{{y}^{-1}}\] |
| C. | \[\frac{1}{{{x}^{12}}y}\] |
| D. | \[{{x}^{12}}y\] |
| Answer» E. | |
| 1247. |
Which of the following values are equal? (i)\[{{1}^{3}}\] (ii)\[4{}^\circ \] (iii)\[{{0}^{4}}\] (iv)\[{{3}^{1}}\] |
| A. | (i) and (ii) |
| B. | (ii) and (iii) |
| C. | (i) and (iii) |
| D. | (i) and (iv) |
| Answer» B. (ii) and (iii) | |
| 1248. |
Solve\[{{\left( {{4}^{5}} \right)}^{x}}={{\left( {{4}^{4}} \right)}^{x}}\div {{4}^{2}}\] |
| A. | \[x=4\] |
| B. | \[x=-2\] |
| C. | \[x=-3\] |
| D. | \[x=2\] |
| Answer» C. \[x=-3\] | |
| 1249. |
Which is greater \[{{4}^{3}}\]or\[{{3}^{4}}\]? |
| A. | Both are equal |
| B. | \[{{4}^{3}}\] |
| C. | \[{{3}^{4}}\] |
| D. | Cannot be determined |
| Answer» D. Cannot be determined | |
| 1250. |
The speed of light is\[300,000,000\,\,m{{s}^{-1}}\]. Express it in standard form. |
| A. | \[3.0\times {{10}^{8}}m{{s}^{-1}}\] |
| B. | \[3.0\times {{10}^{10}}m{{s}^{-1}}\] |
| C. | \[3.0\times {{10}^{6}}m{{s}^{-1}}\] |
| D. | \[3.0\times {{10}^{6}}m{{s}^{-1}}\] |
| Answer» B. \[3.0\times {{10}^{10}}m{{s}^{-1}}\] | |