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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.
| 1251. |
A number in standard form in written as\[6.6\times {{10}^{6}}.\] It can also be written as: |
| A. | 6666666 |
| B. | 66000 |
| C. | 6600000000 |
| D. | 6600000 |
| Answer» E. | |
| 1252. |
Which of the following has the same value of \[{{3}^{6}}\times {{({{3}^{-2}})}^{2}}\times {{({{2}^{3}})}^{2}}\times {{({{2}^{-2}})}^{3}}\] |
| A. | \[9{}^\circ \] |
| B. | \[9\] |
| C. | \[{{9}^{2}}\] |
| D. | \[{{9}^{3}}\] |
| Answer» C. \[{{9}^{2}}\] | |
| 1253. |
Solve \[{{81}^{2x}}={{\left( 729 \right)}^{2}}\] |
| A. | \[x=\frac{3}{4}\] |
| B. | \[x=\frac{2}{3}\] |
| C. | \[x=\frac{5}{6}\] |
| D. | \[x=\frac{3}{2}\] |
| Answer» E. | |
| 1254. |
Express \[{{6}^{2}}\times \] \[{{7}^{-4}}\times \]\[{{({{8}^{-2}})}^{2}}\times \]\[{{6}^{3}}\times \]\[{{({{7}^{2}})}^{2}}{{8}^{4}}\] in the simplest exponential form. |
| A. | \[{{6}^{5}}{{7}^{2}}\] |
| B. | \[{{6}^{5}}\] |
| C. | \[{{6}^{-5}}{{7}^{2}}\] |
| D. | \[{{6}^{-5}}{{7}^{2}}\] |
| Answer» C. \[{{6}^{-5}}{{7}^{2}}\] | |
| 1255. |
Simplify\[\frac{{{\left( 9{{a}^{2}} \right)}^{1/2}}\times {{\left( 25{{a}^{4}} \right)}^{\frac{-1}{2}}}}{5{{a}^{1/2}}\times 3{{a}^{1/2}}\times 4{{a}^{9/4}}}\] |
| A. | \[100\,{{a}^{\frac{25}{4}}}\] |
| B. | \[\frac{1}{100{{a}^{\frac{21}{4}}}}\] |
| C. | \[20{{a}^{\frac{-21}{4}}}\] |
| D. | \[20\,{{a}^{\frac{21}{4}}}\] |
| Answer» C. \[20{{a}^{\frac{-21}{4}}}\] | |
| 1256. |
Simplify\[\frac{{{\left( {{a}^{-n}} \right)}^{m}}\times {{a}^{-2m}}}{{{a}^{mn}}\times {{a}^{2m}}}\] |
| A. | \[100\,{{a}^{\frac{25}{4}}}\] |
| B. | \[\frac{1}{100{{a}^{\frac{21}{4}}}}\] |
| C. | \[20{{a}^{\frac{-21}{4}}}\] |
| D. | \[20{{a}^{\frac{21}{4}}}\] |
| Answer» D. \[20{{a}^{\frac{21}{4}}}\] | |
| 1257. |
Find the numerical value of\[{{\left( 4096 \right)}^{\frac{-1}{4}}}\]. |
| A. | 16 |
| B. | 8 |
| C. | 4 |
| D. | \[\frac{1}{8}\] |
| Answer» E. | |
| 1258. |
If \[x={{y}^{3}},\]which expression is equal to\[{{y}^{1/2}}\] |
| A. | \[{{x}^{1/6}}\] |
| B. | \[{{x}^{6}}\] |
| C. | \[{{x}^{1/12}}\] |
| D. | \[{{x}^{-1/12}}\] |
| Answer» B. \[{{x}^{6}}\] | |
| 1259. |
What is the value of\[\left( 1{}^\circ \times 2{}^\circ \right)\times {{5}^{2}}?\] |
| A. | 25 |
| B. | 0 |
| C. | \[-25\] |
| D. | 1 |
| Answer» B. 0 | |
| 1260. |
The value \[\left( {{9}^{\frac{4}{3}}}\div {{81}^{\frac{2}{3}}} \right)\times {{3}^{\frac{3}{2}}}\]is....... |
| A. | 36 |
| B. | 32 |
| C. | \[{{3}^{\frac{27}{6}}}\] |
| D. | None of these |
| Answer» C. \[{{3}^{\frac{27}{6}}}\] | |
| 1261. |
What is the result of\[\frac{{{2}^{1}}\times {{3}^{2}}\times {{3}^{3}}}{{{1}^{2}}\times {{4}^{2}}}\]? |
| A. | \[\frac{243}{8}\] |
| B. | 42 |
| C. | \[\frac{46}{16}\] |
| D. | 48 |
| Answer» B. 42 | |
| 1262. |
Find the value of\[{{2}^{0}}+{{3}^{0}}+{{4}^{0}}+{{5}^{0}}+{{6}^{0}}+{{7}^{1}}\] |
| A. | 12 |
| B. | 234 |
| C. | 1 |
| D. | 24 |
| Answer» B. 234 | |
| 1263. |
\[{{5}^{3}}+{{5}^{3}}+{{5}^{3}}+{{5}^{3}}+{{5}^{3}}\]is equal to |
| A. | \[{{5}^{4}}\] |
| B. | \[{{55555}^{3}}\] |
| C. | \[{{5}^{5}}\] |
| D. | None of these |
| Answer» B. \[{{55555}^{3}}\] | |
| 1264. |
Express \[\underline{a\times a\times a}\] \[\times \] \[\underline{c\times c\times c\times c}\] \[\times \] \[b\] \[\times \] \[b\] in exponential form. |
| A. | \[{{a}^{3}}{{c}^{3}}{{b}^{3}}\] |
| B. | \[{{a}^{3}}{{c}^{3}}b\] |
| C. | \[{{a}^{3}}{{c}^{3}}{{b}^{2}}\] |
| D. | \[{{a}^{3}}{{c}^{4}}{{b}^{2}}\] |
| Answer» E. | |
| 1265. |
Express \[{{\left( -3 \right)}^{4}}\div {{n}^{4}}\] in the form\[{{\left( \frac{a}{b} \right)}^{n}}\]. |
| A. | \[\frac{-24}{{{n}^{3}}}\] |
| B. | \[{{\left( -\frac{3}{n} \right)}^{4}}\] |
| C. | \[\frac{{{\left( -2 \right)}^{4}}}{{{n}^{4}}}\] |
| D. | \[\left( \frac{-3}{n} \right)\times \left( \frac{-3}{n} \right)\] |
| Answer» C. \[\frac{{{\left( -2 \right)}^{4}}}{{{n}^{4}}}\] | |
| 1266. |
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. | \[3.0\times {{10}^{12}}\,\,m{{s}^{-1}}\] |
| Answer» B. \[3.0\times {{10}^{10}}\,\,m{{s}^{-1}}\] | |
| 1267. |
What is the sum of the powers of the prime factors in\[72\times 192\]? |
| A. | 5 |
| B. | 7 |
| C. | 8 |
| D. | 12 |
| Answer» E. | |
| 1268. |
The value of \[x\] so that \[{{\left( \frac{2}{7} \right)}^{4}}.{{\left( \frac{2}{7} \right)}^{3}}={{\left( \frac{2}{7} \right)}^{4x-1}}\] is |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| D. | 4 |
| Answer» C. 3 | |
| 1269. |
Solve \[{{81}^{2x}}={{\left( 729 \right)}^{2}}\] |
| A. | \[x=\frac{3}{4}\] |
| B. | \[x=\frac{2}{3}\] |
| C. | \[x=\frac{5}{6}\] |
| D. | \[x=\frac{3}{2}\] |
| Answer» E. | |
| 1270. |
Express \[{{6}^{2}}\times {{7}^{-4}}\times ({{8}^{-2}})\times {{6}^{3}}\times {{({{7}^{2}})}^{2}}\times {{8}^{4}}\] in the simplest exponential form. |
| A. | \[{{6}^{5}}{{7}^{2}}\] |
| B. | \[{{6}^{5}}\] |
| C. | \[{{6}^{-5}}{{7}^{2}}\] |
| D. | \[{{6}^{-5}}{{7}^{-2}}\] |
| Answer» C. \[{{6}^{-5}}{{7}^{2}}\] | |
| 1271. |
Find the numerical value of\[{{16}^{0.75}}\] |
| A. | 8 |
| B. | 32 |
| C. | \[{{2}^{-3}}\] |
| D. | \[{{4}^{-3}}\] |
| Answer» B. 32 | |
| 1272. |
Cube of \[\left( -\frac{1}{9} \right)\] is............ |
| A. | \[\left( \frac{-1}{729} \right)\] |
| B. | \[\frac{1}{963}\] |
| C. | \[\frac{1}{850}\] |
| D. | \[\left( \frac{1}{729} \right)\] |
| Answer» B. \[\frac{1}{963}\] | |
| 1273. |
The value of\[{{\left( \frac{8}{125} \right)}^{\frac{-4}{3}}}\] |
| A. | \[\frac{625}{16}\] |
| B. | \[\frac{125}{16}\] |
| C. | \[\frac{16}{25}\] |
| D. | \[\frac{-625}{16}\] |
| Answer» B. \[\frac{125}{16}\] | |
| 1274. |
Which of the following values are equal? (i)\[{{1}^{3}}\] (ii)\[{{4}^{0}}\] (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) | |
| 1275. |
What is the value of\[(1{}^\circ \times 2{}^\circ )\times {{5}^{2}}\]? |
| A. | 25 |
| B. | 0 |
| C. | \[-25\] |
| D. | 1 |
| Answer» B. 0 | |
| 1276. |
In a box, there are 7 red balls, x white balls and 3 green balls. A ball is drawn from the box. If the probability of getting a white ball is found to be \[\frac{\mathbf{1}}{\mathbf{3}}\] then how many white balls in the box? |
| A. | 15 |
| B. | 6 |
| C. | 9 |
| D. | 5 |
| E. | None of these |
| Answer» E. None of these | |
| 1277. |
The median value of the given data is 98, 75, 96, 180, 270, 102, 94, 100, 610, 200,75, 80 |
| A. | 100 |
| B. | 98 |
| C. | 97 |
| D. | 99 |
| Answer» E. | |
| 1278. |
The mean of 5 numbers is 20. If one number is excluded, mean of the remaining numbers becomes 23, then the excluded number is ____. |
| A. | 4 |
| B. | 92 |
| C. | 100 |
| D. | 8 |
| Answer» E. | |
| 1279. |
If each entry of a data is increased by 5, how does the mean change? |
| A. | Remains the same . |
| B. | Increases by 5. |
| C. | Decreases by 5. |
| D. | Becomes half. |
| Answer» C. Decreases by 5. | |
| 1280. |
If the mean of m, 3n and 2t is same as the mean of 3m, 2t and s, then which one of the following is correct? |
| A. | \[2m\text{ }+\text{ }s\text{ }=\text{ }2n\] |
| B. | \[m\text{ }+\text{ }2s\text{ }=\text{ }3n\] |
| C. | \[2m\text{ }+\text{ }s=3n~\] |
| D. | \[m\text{ }+\text{ }s\text{ }=\text{ }2n\] |
| E. | None of these |
| Answer» D. \[m\text{ }+\text{ }s\text{ }=\text{ }2n\] | |
| 1281. |
The mode of the following distribution is Size 2 3 4 5 6 7 8 Frequency 10 12 25 20 25 15 11 |
| A. | 2 |
| B. | 8 |
| C. | Both 4 and 6 |
| D. | 5 |
| Answer» D. 5 | |
| 1282. |
If the mean of a data is 316 and the sum of its observations is 3792. Find the number of observations in the data. |
| A. | 22 |
| B. | 12 |
| C. | 17 |
| D. | 27 |
| E. | None of these |
| Answer» C. 17 | |
| 1283. |
If the mean of 6, 8, 5, x and 4 is 7, then the value of x is ____. |
| A. | 11 |
| B. | 12 |
| C. | 13 |
| D. | 14 |
| Answer» C. 13 | |
| 1284. |
What is the median of the data 46,64,87, 41,58,77,35,90,55,33,92? |
| A. | \[87\] |
| B. | \[77\] |
| C. | \[58\] |
| D. | \[60.2\] |
| Answer» D. \[60.2\] | |
| 1285. |
If the range of 10 observations is 68 and its lowest score of the data is 34 then find the highest score of the data. |
| A. | 68 |
| B. | 86 |
| C. | 102 |
| D. | 112 |
| E. | None of these |
| Answer» D. 112 | |
| 1286. |
Mean of 9 observations was found to be 35. Later on, it was detected that an observation 81 was misread as 18, then the correct mean of the observations is |
| A. | 40 |
| B. | 41 |
| C. | 42 |
| D. | 43 |
| Answer» D. 43 | |
| 1287. |
The mean of five numbers is 27. If one of the numbers is excluded, the mean gets reduced by 2. What is the excluded number? |
| A. | \[35\] |
| B. | \[27\] |
| C. | \[25\] |
| D. | \[40\] |
| Answer» B. \[27\] | |
| 1288. |
Direction: The pie-chart depicts the results of a survey conducted to identify the favourite juice of some students. How many students like orange juice, if the strength of the school is 720? |
| A. | 150 |
| B. | 360 |
| C. | 180 |
| D. | 240 |
| Answer» B. 360 | |
| 1289. |
Direction: The pie-chart depicts the results of a survey conducted to identify the favourite juice of some students. How many students like other juices if the total number of students is 360? |
| A. | 70 |
| B. | 80 |
| C. | 65 |
| D. | 60 |
| Answer» E. | |
| 1290. |
Direction: The bargraph shows the marks obtained by four students in quarterly examination. Whose performance was the worst? |
| A. | Sharanya |
| B. | Deepa |
| C. | Shravan |
| D. | Nandan |
| Answer» C. Shravan | |
| 1291. |
Direction: The bargraph shows the marks obtained by four students in quarterly examination. Whose performance was the best? |
| A. | Nandan |
| B. | Shravan |
| C. | Sharanya |
| D. | Deepa |
| Answer» B. Shravan | |
| 1292. |
If the mean of 13, 17, 18, 20, x and 9. Is 16 find the value of x. |
| A. | 16 |
| B. | 18 |
| C. | 19 |
| D. | 20 |
| E. | None of these |
| Answer» D. 20 | |
| 1293. |
The mode and median of the following data 21, 23, 25. 23, 21, 24, 22, 20, 23 respectively, are |
| A. | 23, 23 |
| B. | 21, 23 |
| C. | 25, 21 |
| D. | 23, 21 |
| Answer» B. 21, 23 | |
| 1294. |
The daily sales of kerosene (in litres) in a ration shop for six days is given in the box. 75, 120, 12, 50, 70.5, 140.5 What is the average daily sale? |
| A. | \[150\,l\] |
| B. | \[10\,l\] |
| C. | \[142\,l\] |
| D. | \[78\,l\] |
| Answer» E. | |
| 1295. |
A coin is tossed 400 times and get the following outcomes. Head: 225 times Tail: 175 times when a coin is tossed at random, the probability of getting a head is ________. |
| A. | \[\frac{3}{4}\] |
| B. | \[\frac{9}{16}\] |
| C. | \[\frac{8}{9}\] |
| D. | \[\frac{8}{16}\] |
| E. | None of these |
| Answer» C. \[\frac{8}{9}\] | |
| 1296. |
A comet passed by the Earth in the year 1835. It passes by the Earth every 60 years. Based on this information, in which of the following years can the comet be expected to pass by the Earth? |
| A. | \[2035\] |
| B. | \[2060\] |
| C. | \[2075\] |
| D. | \[2080\] |
| Answer» D. \[2080\] | |
| 1297. |
In a survey of 500 students, it was found that 220 like milk, 150 like coffee and 130 like tea. Out of these students, one student is chosen at random. Based on this information choose the statement which is incorrect. |
| A. | The probability that the chosen girl like tea is \[\frac{13}{50}\] |
| B. | The probability that the chosen girl does not like coffee is\[\frac{7}{10}\]. |
| C. | The probability that the chosen girl dislikes milk is \[\frac{2}{5}\]. |
| D. | The probability that the chosen girl likes coffee is\[\frac{3}{10}\]. |
| E. | None of these |
| Answer» D. The probability that the chosen girl likes coffee is\[\frac{3}{10}\]. | |
| 1298. |
Which one of the following is not an example of an impossible event? |
| A. | Getting a number less than 1 on throwing a die. |
| B. | Getting neither head nor tail on tossing an unbiased corn |
| C. | On throwing a die, getting a prime number which is not an even number. |
| D. | 53 Sundays in a leap year. |
| E. | None of these |
| Answer» E. None of these | |
| 1299. |
The number of chapatis needed for 30 students of a class are given in the box. 2,1,2,3,3,2,2,2,4,4,3,2,3,3,2,2,2,2,3,3,2,3,2,2,2,3,3,3,3,4 Calculate the mode of the data. |
| A. | \[3\] |
| B. | \[2\] |
| C. | \[1\] |
| D. | \[4\] |
| Answer» C. \[1\] | |
| 1300. |
Direction: The bar graph shows the sales of fruits and vegetables in a store in 4 hours on a certain evening. Sales of fruits and vegetables in a store During the four hours, which of the following is true about the sale of fruits and vegetables? |
| A. | The sale of vegetables was lesser than that of fruits. |
| B. | The sale of vegetables is 126 kg. |
| C. | The sale of fruits is 118 kg. |
| D. | The sale of vegetables is greater than that of fruits. |
| Answer» B. The sale of vegetables is 126 kg. | |