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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.
| 201. |
Find the arithmetic mean of 30,36,39,23 and 27. |
| A. | 28 |
| B. | 20 |
| C. | 31 |
| D. | 35 |
| Answer» D. 35 | |
| 202. |
In a certain code 'EDUCATION' is written as 'IGWDASGU'. How is 'REASONING' written in that code? |
| A. | MNKCOCHTV |
| B. | VHCTOMGKC |
| C. | VGCTOMGLC |
| D. | VHCTONGKD |
| E. | None of these |
| Answer» C. VGCTOMGLC | |
| 203. |
What is the ratio of minimum and maximum sale? |
| A. | 5:9 |
| B. | 5:8 |
| C. | 5:3 |
| D. | 5:4 |
| E. | None of these |
| Answer» B. 5:8 | |
| 204. |
In the figure given below, ABC is an isosceles triangle such that \[\mathbf{AB}=\mathbf{AC}\] and\[\angle \mathbf{B}=\mathbf{3}{{\mathbf{0}}^{{}^\circ }}\], AD is the median to the base BC. Then \[\Delta \mathbf{BAD}\] is: |
| A. | \[{{80}^{{}^\circ }}\] |
| B. | \[{{40}^{{}^\circ }}\] |
| C. | \[{{110}^{{}^\circ }}\] |
| D. | \[{{60}^{{}^\circ }}\] |
| Answer» E. | |
| 205. |
In a \[\Delta \mathbf{ABC}\], X and Y are two points on PQ and PR respectively such that \[\mathbf{XY}\parallel \mathbf{QR}\], bisects the AABC in two equal areas. Then the ratio QX : PQ is |
| A. | \[1:\sqrt{2}\] |
| B. | 1:2 |
| C. | \[\left( \sqrt{2}-1 \right):\sqrt{2}\] |
| D. | \[\sqrt{2}:1\] |
| Answer» D. \[\sqrt{2}:1\] | |
| 206. |
DIRECTIONS(Qs. 8 - 12):Read the following graph and answer the questions given below: What is the ratio of the highest marks to the lowest marks obtained by the student? |
| A. | 2:11 |
| B. | 9:2 |
| C. | 2:9 |
| D. | 0.459722222222222 |
| Answer» C. 2:9 | |
| 207. |
Find the mean of 50 observations. It is given that the mean of 32 of them is 28 and the mean of the remaining 18 observations is 30. |
| A. | 30.24 |
| B. | 28.72 |
| C. | 24.82 |
| D. | 30.32 |
| Answer» C. 24.82 | |
| 208. |
Ram's income is 20% more than Sunil. How much percent is Sunil's income less than Ram's? |
| A. | \[8\frac{2}{3}%\] % |
| B. | \[16\frac{2}{3}%\]% |
| C. | 20 % |
| D. | 80 % |
| E. | None of these |
| Answer» C. 20 % | |
| 209. |
Fill in the blanks. (i) The P of class interval is called its class mark. (ii) The Q can be calculated graphically. (iii) The R of all bars in histogram should be equal. (iv) Width of the class interval called S of class interval. |
| A. | P Q R S Lower value median width range |
| B. | P Q R S Mid-value mean length range |
| C. | P Q R S Mid-value median width size |
| D. | P Q R S Upper-value mode length size |
| Answer» D. P Q R S Upper-value mode length size | |
| 210. |
If 5 men are in a room of dimensions 3 \[m\times 4m\times 10m,\]what is the amount of air available for each of them? |
| A. | \[~48\text{ }{{m}^{3}}\] |
| B. | \[36\text{ }{{m}^{3}}\] |
| C. | \[~24{{m}^{3}}\] |
| D. | \[120\,{{m}^{3}}\] |
| Answer» D. \[120\,{{m}^{3}}\] | |
| 211. |
In the given figure, if AE=AD and BD=CE, then __ . |
| A. | \[\Delta BEC\cong \Delta BDC\] |
| B. | \[\Delta AEB\cong \Delta ADC\] |
| C. | \[BC=CD\] |
| D. | None of these |
| Answer» C. \[BC=CD\] | |
| 212. |
In\[\Delta ABC\], if \[\angle A={{50}^{o}}\] and\[\angle B={{60}^{o}}\], what is the greatest side? |
| A. | \[AB\] |
| B. | \[BC\] |
| C. | \[AC\] |
| D. | can?t be determined |
| Answer» B. \[BC\] | |
| 213. |
The mean of the data \[{{x}_{1}},{{x}_{2}},{{x}_{3}},....{{x}_{n}}\]is 'a' Find the mean of the data\[{{x}_{1}}+{{\alpha }_{1}},{{x}_{2}}+\alpha ,{{x}_{3}}+\alpha ,...,{{x}_{n}}+\alpha \] |
| A. | \[a+\alpha \] |
| B. | \[a\,\alpha \] |
| C. | \[a+\,\alpha \] |
| D. | \[a-\,\alpha \] |
| Answer» D. \[a-\,\alpha \] | |
| 214. |
DIRECTIONS: Passage ? 1 Read the passages given below and answer the questions that follow. A group of students was given a math?s test. The test was completed by various students in the following time (in minutes): 18, 20, 21, 25. Mean time taken by the students to complete the test is |
| A. | 5 minutes |
| B. | 10 minutes |
| C. | 20 minutes |
| D. | 21 minutes |
| Answer» E. | |
| 215. |
Which one of following statements is correct? |
| A. | \[\pi \] is not a rational number. |
| B. | \[{{\pi }^{2}}\]is an irrational number. |
| C. | 3.2325325325..... is equal to\[\frac{32293}{9990}\]. |
| D. | All of the above |
| E. | None of these |
| Answer» E. None of these | |
| 216. |
If r is a rational number and s is an irrational number, then which one of the following is true? |
| A. | \[(r+s)(r-s)\] will always be an irrational number. |
| B. | \[\frac{(r+s)}{(r-s)}\] will always be a rational number. |
| C. | rs will always be an irrational number. |
| D. | \[\frac{r}{s}\] |
| E. | None of these |
| Answer» F. | |
| 217. |
Which one is different among the following?\[^{\mathbf{9}}\sqrt{\mathbf{3(}{{\mathbf{2}}^{\mathbf{8}}}\mathbf{-13)}}{{\mathbf{,}}^{\mathbf{3}}}\sqrt{\mathbf{9}}\mathbf{,}{{\mathbf{ }}^{\mathbf{9}}}\sqrt{\mathbf{729}}\mathbf{, }\frac{\mathbf{3}}{{{\mathbf{3}}^{\mathbf{1/3}}}}\] |
| A. | \[^{9}\sqrt{3({{2}^{8}}-13)}\] |
| B. | \[^{3}\sqrt{9}\] |
| C. | \[^{9}\sqrt{729}\] |
| D. | \[\frac{3}{{{3}^{1/3}}}\] |
| E. | None of these |
| Answer» F. | |
| 218. |
Find the value of \[\left( \sqrt{3+2\sqrt{2}}-\sqrt{3-2\sqrt{2}} \right)\] |
| A. | 0 |
| B. | 1 |
| C. | \[\sqrt{2}\] |
| D. | \[2\sqrt{2}\] |
| E. | None of these |
| Answer» E. None of these | |
| 219. |
Solve: \[\sqrt[12]{32}\times \sqrt[32]{16}\times \sqrt[24]{2048}\] |
| A. | 2 |
| B. | 8 |
| C. | 16 |
| D. | 32 |
| E. | None of these |
| Answer» B. 8 | |
| 220. |
If\[{{\left[ \frac{{{\mathbf{2}}^{{{\mathbf{n}}^{\mathbf{3}}}\mathbf{-3}{{\mathbf{n}}^{\mathbf{2}}}}}}{\mathbf{2}}\mathbf{.}{{\mathbf{2}}^{\mathbf{3n}}} \right]}^{\mathbf{1/3}}}\mathbf{+}{{\left[ \mathbf{4}\mathbf{.}{{\mathbf{2}}^{{{\mathbf{n}}^{\mathbf{2}}}\mathbf{+2n}}} \right]}^{\mathbf{1/2}}}\mathbf{=640}\], then find the value of n. |
| A. | 6 |
| B. | 7 |
| C. | 8 |
| D. | 10 |
| E. | None of these |
| Answer» D. 10 | |
| 221. |
\[\sqrt{\mathbf{11+4}\sqrt{\mathbf{7}}}\mathbf{-}\sqrt{\mathbf{8-2}\sqrt{\mathbf{7}}}\]is equal to ______ |
| A. | 0 |
| B. | 3 |
| C. | 1 |
| D. | \[\sqrt{7}\] |
| E. | None of these |
| Answer» C. 1 | |
| 222. |
Simplify \[\frac{{{\mathbf{(0}\mathbf{.00001)}}^{\mathbf{0}\mathbf{.20}}}\times {{\mathbf{(0}\mathbf{.0016)}}^{\mathbf{0}\mathbf{.25}}}\times {{\mathbf{(0}\mathbf{.64)}}^{\mathbf{0}\mathbf{.50}}}}{{{\mathbf{(0}\mathbf{.2)}}^{\mathbf{4}}}}\] |
| A. | 1 |
| B. | 10 |
| C. | 0.8 |
| D. | 0.16 |
| E. | None of these |
| Answer» C. 0.8 | |
| 223. |
Simplify \[\mathbf{ }\frac{\sqrt{\mathbf{13+}\sqrt{\mathbf{5+}\sqrt{\mathbf{10+}\sqrt{\mathbf{12+2}\sqrt{\mathbf{144}}}}}}}{\sqrt{\mathbf{6+}\sqrt{\mathbf{97+}\sqrt{\mathbf{4+}\sqrt{\mathbf{37-4}\sqrt{\mathbf{9}}}}}}}\] |
| A. | 1 |
| B. | 2 |
| C. | \[\sqrt{2}\] |
| D. | \[\sqrt{5}\] |
| E. | None of these |
| Answer» B. 2 | |
| 224. |
Which among the following is an rational number between \[\frac{\mathbf{7203}}{\mathbf{12005}}\]and\[\frac{\mathbf{8788}}{\mathbf{10985}}\]? |
| A. | 0.6001000100001........ |
| B. | 0.590020002......... |
| C. | 0.81025002500025........ |
| D. | 0.635463546354....... |
| E. | None of these |
| Answer» B. 0.590020002......... | |
| 225. |
How many rational numbers are possible in between\[\frac{\mathbf{1779}}{\mathbf{3001}}\] & \[\frac{\mathbf{1780}}{\mathbf{3001}}\]? |
| A. | 10 |
| B. | 1 |
| C. | infinite |
| D. | 1000 |
| E. | None of these |
| Answer» D. 1000 | |
| 226. |
Which of the following is a rational number between \[\mathbf{0}\mathbf{.12}\overline{\mathbf{7}}\] and\[\mathbf{0}\mathbf{.18}\overline{\mathbf{3}}\]? |
| A. | \[\frac{206}{1620}\] |
| B. | \[\frac{295}{1620}\] |
| C. | \[\frac{299}{1620}\] |
| D. | \[\frac{315}{1620}\] |
| E. | None of these |
| Answer» C. \[\frac{299}{1620}\] | |
| 227. |
If \[{{\left[ \sqrt{\mathbf{2}}{{\left( \mathbf{1}{{\mathbf{6}}^{\mathbf{1/4}}}\mathbf{+777}{{\mathbf{6}}^{\mathbf{1/5}}} \right)}^{\mathbf{4}}} \right]}^{\mathbf{n}}}\mathbf{=4}\sqrt{\mathbf{2}}\], then find value of n. |
| A. | \[\frac{1}{4}\] |
| B. | \[\frac{1}{6}\] |
| C. | \[\frac{1}{5}\] |
| D. | \[\frac{1}{3}\] |
| E. | None of these |
| Answer» D. \[\frac{1}{3}\] | |
| 228. |
Find the value of \[{{\mathbf{(729)}}^{\mathbf{0}\mathbf{.16}}}\times {{\mathbf{(27)}}^{\mathbf{0}\mathbf{.18}}}\] |
| A. | \[\sqrt{3}\] |
| B. | \[3\sqrt{3}\] |
| C. | 27 |
| D. | 81 |
| E. | None of these |
| Answer» C. 27 | |
| 229. |
If \[{{\mathbf{x}}^{\mathbf{1/8}}}\mathbf{=m}\] and \[{{\mathbf{x}}^{\mathbf{1/4}}}\mathbf{=n}\] and n = 4 m then find the value of\[\sqrt{\mathbf{x}}\]. |
| A. | 512 |
| B. | 216 |
| C. | 324 |
| D. | 256 |
| E. | None of these |
| Answer» E. None of these | |
| 230. |
Identify the irrational number among the following 0.019019019019..........., 0.235230523005230005..........., \[\frac{\mathbf{19}}{\mathbf{100000000000}}\], \[\mathbf{0}\mathbf{.}\overline{\mathbf{2958}}\] |
| A. | 0.019019019019...... |
| B. | 0.235230523005230005......... |
| C. | \[\frac{19}{100000000000}\] |
| D. | \[0.\overline{2958}\] |
| E. | None of these |
| Answer» C. \[\frac{19}{100000000000}\] | |
| 231. |
If \[\mathbf{A=}\frac{\sqrt{\sqrt{\sqrt{\sqrt{\mathbf{2+}\sqrt{\mathbf{3}}}}}}}{\sqrt{\sqrt{\sqrt{\sqrt{\mathbf{2-}\sqrt{\mathbf{3}}}}}}}\], then find the value of A8. |
| A. | \[{{(2-\sqrt{3})}^{1/2}}\] |
| B. | \[{{(2+\sqrt{3})}^{1/4}}\] |
| C. | \[{{\left( \frac{2+\sqrt{3}}{2-\sqrt{3}} \right)}^{1/4}}\] |
| D. | \[2+\sqrt{3}\] |
| E. | None of these |
| Answer» E. None of these | |
| 232. |
If \[\sqrt{\frac{\sqrt{\mathbf{5}}\mathbf{-}\sqrt{\mathbf{3}}}{\sqrt{\mathbf{5}}\mathbf{+}\sqrt{\mathbf{3}}}\mathbf{+}\frac{\sqrt{\mathbf{5}}\mathbf{+}\sqrt{\mathbf{3}}}{\sqrt{\mathbf{5}}\mathbf{-}\sqrt{\mathbf{3}}}}\], then find the value of \[\sqrt{\sqrt{\sqrt{\mathbf{x}}}}\]. |
| A. | \[{{(\sqrt{5}+\sqrt{3})}^{13/8}}\] |
| B. | \[{{2}^{3/16}}\] |
| C. | \[{{3}^{1/16}}\] |
| D. | \[{{5}^{1/8}}\] |
| E. | None of these |
| Answer» C. \[{{3}^{1/16}}\] | |
| 233. |
If \[{{\mathbf{x}}^{\mathbf{1/4}}}\mathbf{+}{{\mathbf{x}}^{\mathbf{-1/4}}}\mathbf{=2}\sqrt{\mathbf{2}}\] then find the value of\[{{\mathbf{x}}^{\mathbf{2}}}\mathbf{-}\frac{\mathbf{1}}{{{\mathbf{x}}^{\mathbf{2}}}}\]. |
| A. | \[1152\sqrt{2}\] |
| B. | \[\sqrt{2}-1\] |
| C. | \[816\sqrt{2}\] |
| D. | \[\sqrt{2}\] |
| E. | None of these |
| Answer» D. \[\sqrt{2}\] | |
| 234. |
If \[\mathbf{a=}\sqrt{\frac{\sqrt{\mathbf{3}}\mathbf{-1}}{\sqrt{\mathbf{3}}\mathbf{+1}}}\] then find the value of \[\mathbf{a+}\frac{\mathbf{1}}{\mathbf{a}}\]. |
| A. | 6 |
| B. | \[\sqrt{3}\] |
| C. | 3 |
| D. | \[\sqrt{6}\] |
| E. | None of these |
| Answer» E. None of these | |
| 235. |
\[\frac{^{\mathbf{5}}\sqrt{\mathbf{3}}{{\mathbf{.}}^{\mathbf{4}}}{{\sqrt{\mathbf{3}}}^{\mathbf{6}}}\mathbf{.}\sqrt{\mathbf{9}}}{\sqrt{\mathbf{3}\sqrt{\mathbf{3}\sqrt{\mathbf{3}}}}}\]equals to _______ |
| A. | \[{{3}^{11/119}}\] |
| B. | \[{{3}^{-11/120}}\] |
| C. | \[{{3}^{103/119}}\] |
| D. | \[{{3}^{105/119}}\] |
| E. | None of these |
| Answer» C. \[{{3}^{103/119}}\] | |
| 236. |
If \[\sqrt{\mathbf{x}}\mathbf{=}{{\mathbf{a}}^{\mathbf{1/3}}}\mathbf{+}{{\mathbf{a}}^{\mathbf{-1/3}}}\] and \[\sqrt{\mathbf{y}}\mathbf{=}{{\mathbf{a}}^{\mathbf{1/3}}}\mathbf{-}{{\mathbf{a}}^{\mathbf{-1/3}}}\], then find the value of \[{{\mathbf{x}}^{\mathbf{2}}}\mathbf{-}{{\mathbf{y}}^{\mathbf{2}}}\] |
| A. | \[2({{a}^{2/3}}+{{a}^{-2/3}})\] |
| B. | \[4({{a}^{1/3}}+{{a}^{-1/3}})\] |
| C. | \[8({{a}^{2/3}}+{{a}^{-2/3}})\] |
| D. | \[16({{a}^{1/3}}+{{a}^{-1/3}})\] |
| E. | None of these |
| Answer» D. \[16({{a}^{1/3}}+{{a}^{-1/3}})\] | |
| 237. |
If \[\mathbf{x=}{{\mathbf{p}}^{\mathbf{1/3}}}\mathbf{+}{{\mathbf{p}}^{\mathbf{-}}}^{\mathbf{1/3}}\] and \[\mathbf{y=}{{\mathbf{p}}^{\mathbf{1/3}}}\mathbf{-}{{\mathbf{p}}^{\mathbf{-}}}^{\mathbf{1/3}}\], then find the value of \[\frac{{{\mathbf{(}{{\mathbf{x}}^{\mathbf{2}}}\mathbf{-}{{\mathbf{y}}^{\mathbf{2}}}\mathbf{)}}^{\mathbf{3}}}}{\mathbf{(}{{\mathbf{x}}^{\mathbf{2}}}\mathbf{+}{{\mathbf{y}}^{\mathbf{2}}}\mathbf{+xy)(}{{\mathbf{x}}^{\mathbf{2}}}\mathbf{+}{{\mathbf{y}}^{\mathbf{2}}}\mathbf{-xy)}}\] |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| D. | 4 |
| E. | None of these |
| Answer» E. None of these | |
| 238. |
If \[\mathbf{p=}\frac{\sqrt{\mathbf{17}}\mathbf{+}\sqrt{\mathbf{15}}}{\sqrt{\mathbf{17}}\mathbf{-}\sqrt{\mathbf{15}}}\] and \[\mathbf{q=}\frac{\mathbf{1}}{\mathbf{p}}\], then the value of \[\mathbf{3}{{\mathbf{p}}^{\mathbf{2}}}\mathbf{-5pq+3}{{\mathbf{q}}^{\mathbf{2}}}\]is _________ |
| A. | 3117 |
| B. | 3061 |
| C. | 3177 |
| D. | 2861 |
| E. | None of these |
| Answer» C. 3177 | |
| 239. |
If \[\mathbf{P=2}\sqrt{\mathbf{7}}\mathbf{-3}\sqrt{\mathbf{3}}\] and \[\mathbf{Q=}\frac{\mathbf{1}}{\mathbf{P}}\], then find the value of\[{{\mathbf{P}}^{\mathbf{4}}}\mathbf{-}{{\mathbf{Q}}^{\mathbf{4}}}\]. |
| A. | \[2110\sqrt{3}\] |
| B. | \[-\,1440\sqrt{7}\] |
| C. | \[2210\sqrt{7}\] |
| D. | \[-\,2640\sqrt{21}\] |
| E. | None of these |
| Answer» E. None of these | |
| 240. |
Find the least value from \[\sqrt[4]{2},\sqrt[6]{3},\sqrt[9]{5},\sqrt[12]{7}\] |
| A. | \[\sqrt[4]{2}\] |
| B. | \[\sqrt[6]{3}\] |
| C. | \[\sqrt[9]{5}\] |
| D. | \[\sqrt[12]{7}\] |
| E. | None of these |
| Answer» E. None of these | |
| 241. |
If \[\mathbf{x=}\frac{\sqrt{\mathbf{7}}\mathbf{+}\sqrt{\mathbf{5}}}{\sqrt{\mathbf{7}}\mathbf{-}\sqrt{\mathbf{5}}}\] and \[\mathbf{y=}\frac{\sqrt{\mathbf{7}}\mathbf{-}\sqrt{\mathbf{5}}}{\sqrt{\mathbf{7}}\mathbf{+}\sqrt{\mathbf{5}}}\], then find the value of \[\frac{{{\mathbf{x}}^{\mathbf{2}}}\mathbf{+xy+}{{\mathbf{y}}^{\mathbf{2}}}}{{{\mathbf{x}}^{\mathbf{2}}}\mathbf{-xy+}{{\mathbf{y}}^{\mathbf{2}}}}\] |
| A. | \[\frac{137}{143}\] |
| B. | \[\frac{143}{137}\] |
| C. | \[\frac{117}{128}\] |
| D. | \[\frac{128}{117}\] |
| E. | None of these |
| Answer» C. \[\frac{117}{128}\] | |
| 242. |
\[\mathbf{1}{{\mathbf{0}}^{\mathbf{34}}}\mathbf{-7}\] is divisible by _________ |
| A. | 9 |
| B. | 2 |
| C. | 3 |
| D. | both B and C |
| E. | None of these |
| Answer» D. both B and C | |
| 243. |
If two fractions are p and q such that both lies between 0 and 1, then ________ |
| A. | The product of p and q will always be greater than both p and q separately. |
| B. | The division of p and q i.e. p/q will always be greater than 1. |
| C. | The product of p and q will always be greater than sum of p and q. |
| D. | The product of p and q will always be less than either of the fractions p or q. |
| E. | None of these |
| Answer» E. None of these | |
| 244. |
If \[\mathbf{A=}\sqrt{\mathbf{13}}\mathbf{-}\sqrt{\mathbf{5}}\] and \[\mathbf{B=}\sqrt{\mathbf{17}}\mathbf{-}\sqrt{\mathbf{13}}\], then _________ |
| A. | \[A>B\] |
| B. | \[A<B\] |
| C. | \[A=B\] |
| D. | \[A<2B\] |
| E. | None of these |
| Answer» B. \[A<B\] | |
| 245. |
If \[\frac{{{\mathbf{2}}^{\mathbf{3n}}}}{\mathbf{8}}\mathbf{+1+3}\times \frac{{{\mathbf{2}}^{\mathbf{2n}}}}{\mathbf{2}}\mathbf{+3}\times \frac{{{\mathbf{2}}^{\mathbf{2n}}}}{\mathbf{4}}\mathbf{=4913}\], then find the value of n. |
| A. | 3 |
| B. | 10 |
| C. | 5 |
| D. | 8 |
| E. | None of these |
| Answer» D. 8 | |
| 246. |
\[\frac{\sqrt{\mathbf{5}\sqrt{\mathbf{5}\sqrt{\mathbf{5}\sqrt{\mathbf{5}\sqrt{\mathbf{5}}}}}}}{\sqrt{\mathbf{5}\sqrt{\mathbf{5}\sqrt{\mathbf{5}}}}}\]is equal to _________ |
| A. | \[{{5}^{3/32}}\] |
| B. | \[{{5}^{7/32}}\] |
| C. | \[{{5}^{21/32}}\] |
| D. | \[{{5}^{5/32}}\] |
| E. | None of these |
| Answer» B. \[{{5}^{7/32}}\] | |
| 247. |
After rationalizing \[\mathbf{E=}\frac{\mathbf{1}}{\sqrt{\mathbf{2}}\mathbf{+}\sqrt{\mathbf{3}}\mathbf{-}\sqrt{\mathbf{5}}}\], the value of \[\mathbf{4}\sqrt{\mathbf{3}}\mathbf{E}\]is _________ |
| A. | \[\frac{\sqrt{2}+\sqrt{3}+\sqrt{5}}{\sqrt{3}}\] |
| B. | \[2+\sqrt{6}-\sqrt{10}\] |
| C. | \[2+\sqrt{6}+\sqrt{10}\] |
| D. | \[\frac{\sqrt{2}+\sqrt{3}-\sqrt{5}}{3}\] |
| E. | None of these |
| Answer» D. \[\frac{\sqrt{2}+\sqrt{3}-\sqrt{5}}{3}\] | |
| 248. |
Find the value of \[\sqrt{\mathbf{12+2}\sqrt{\mathbf{6}}\mathbf{+2}\sqrt{\mathbf{21}}\mathbf{+2}\sqrt{\mathbf{14}}}\] |
| A. | \[\sqrt{2}+\sqrt{3}+\sqrt{5}\] |
| B. | \[\sqrt{3}+\sqrt{2}+\sqrt{5}\] |
| C. | \[3+\sqrt{2}+\sqrt{1}\] |
| D. | \[\sqrt{2}+\sqrt{3}+\sqrt{7}\] |
| E. | None of these |
| Answer» E. None of these | |
| 249. |
The diagonals of a rectangle PQRS intersect at O. If \[\angle ROQ={{60}^{o}},\]then find \[\angle OSP.\] |
| A. | \[{{70}^{o}}\] |
| B. | \[{{50}^{o}}\] |
| C. | \[{{60}^{o}}\] |
| D. | \[{{80}^{o}}\] |
| Answer» D. \[{{80}^{o}}\] | |
| 250. |
\[ABCD\] is a quadrilateral. If \[AC\] and \[BD\] bisect each other, what is\[ABCD\]? |
| A. | A square |
| B. | A rectangle |
| C. | A parallelogram |
| D. | A rhombus |
| Answer» D. A rhombus | |