MCQOPTIONS
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MCQOPTIONS
This section includes 1894 Mcqs, each offering curated multiple-choice questions to sharpen your General Aptitude knowledge and support exam preparation. Choose a topic below to get started.
| 1301. |
If x + y = 7, then the value of x3 + y3 + 21xy is? |
| A. | 43 |
| B. | 43 |
| C. | 43 |
| D. | 43 |
| Answer» D. 43 | |
| 1302. |
If $$\frac{{\sqrt 7- 2}}{{\sqrt 7+ 2}} = a\sqrt 7+ b{\text{,}}$$then the value of a is? |
| A. | $\frac{{11}}{3}$$ |
| B. | $ - \frac{4}{3}$$ |
| C. | $\frac{4}{3}$$ |
| D. | $\frac{{ - 4\sqrt 7 }}{3}$$ |
| Answer» C. $\frac{4}{3}$$ | |
| 1303. |
If a2x+2 = 1, where is a positive real number other than 1, then x is equal to? |
| A. | 2 |
| B. | 1 |
| Answer» C. | |
| 1304. |
$$\left( {x + \frac{1}{x}} \right)$$ $$\left( {x - \frac{1}{x}} \right)$$ $$\left( {{x^2} + \frac{1}{{{x^2}}} - 1} \right)$$$$\left( {{x^2} + \frac{1}{{{x^2}}} + 1} \right)$$is equal to? |
| A. | ${x^6} + \frac{1}{{{x^6}}}$$ |
| B. | ${x^8} + \frac{1}{{{x^8}}}$$ |
| C. | ${x^8} - \frac{1}{{{x^8}}}$$ |
| D. | ${x^6} - \frac{1}{{{x^6}}}$$ |
| Answer» E. | |
| 1305. |
If x, y are two positive real number and $${x^{\frac{1}{3}}} = {y^{\frac{1}{4}}},$$then which of the following relations is true? |
| A. | 3 = y4 |
| B. | 3 = y |
| C. | = y4 |
| D. | 20 = y15 |
| Answer» E. | |
| 1306. |
For what value (s) of a is $$x + \frac{1}{4}\sqrt x+ {a^2}$$a perfect square? |
| A. | $ \pm \frac{1}{{18}}$$ |
| B. | $\frac{1}{8}$$ |
| C. | $ - \frac{1}{5}$$ |
| D. | $\frac{1}{4}$$ |
| Answer» C. $ - \frac{1}{5}$$ | |
| 1307. |
If x : y = 3 : 4, then (7x + 3y) : (7x - 3y) is equal to? |
| A. | : 2 |
| B. | : 3 |
| C. | 1 : 3 |
| D. | 7 : 19 |
| Answer» D. 7 : 19 | |
| 1308. |
If $$\frac{{3a + 5b}}{{3a - 5b}} = 5,$$then a : b is equal to? |
| A. | : 1 |
| B. | : 3 |
| C. | : 3 |
| D. | : 2 |
| Answer» E. | |
| 1309. |
If $$a = \frac{{\sqrt 5+ 1}}{{\sqrt 5- 1}}$$& $$b = \frac{{\sqrt 5- 1}}{{\sqrt 5+ 1}}{\text{,}}$$then the value of $$\frac{{{a^2} + ab + {b^2}}}{{{a^2} - ab + {b^2}}}{\text{ is?}}$$ |
| A. | $\frac{3}{4}$$ |
| B. | $\frac{4}{3}$$ |
| C. | $\frac{3}{5}$$ |
| D. | $\frac{5}{3}$$ |
| Answer» C. $\frac{3}{5}$$ | |
| 1310. |
If 0.13 × p2 = 13, then p is equal to? |
| A. | 0 |
| B. | 0.01 |
| C. | 0.1 |
| D. | 00 |
| Answer» B. 0.01 | |
| 1311. |
$$\frac{{\frac{1}{3}.\frac{1}{3}.\frac{1}{3} + \frac{1}{4}.\frac{1}{4}.\frac{1}{4} - 3.\frac{1}{3}.\frac{1}{4}.\frac{1}{5} + \frac{1}{5}.\frac{1}{5}.\frac{1}{5}}}{{\frac{1}{3}.\frac{1}{3} + \frac{1}{4}.\frac{1}{4} + \frac{1}{5}.\frac{1}{5} - \left( {\frac{1}{3}.\frac{1}{4} + \frac{1}{4}.\frac{1}{5} + \frac{1}{5}.\frac{1}{3}} \right)}}{\text{ is?}}$$ |
| A. | $\frac{2}{3}$$ |
| B. | $\frac{3}{4}$$ |
| C. | $\frac{{47}}{{60}}$$ |
| D. | $\frac{{49}}{{60}}$$ |
| Answer» D. $\frac{{49}}{{60}}$$ | |
| 1312. |
If a = 7, b = 5 and c = 3, then the value of a2 + b2 + c2 - ab - bc - ca is? |
| A. | 2 |
| B. | 12 |
| Answer» B. 12 | |
| 1313. |
If $${x^{x\sqrt x }} = {\left( {x\sqrt x } \right)^x}{\text{,}}$$then x equals to? |
| A. | $\frac{4}{9}$$ |
| B. | $\frac{2}{3}$$ |
| C. | $\frac{9}{4}$$ |
| D. | $\frac{3}{2}$$ |
| Answer» D. $\frac{3}{2}$$ | |
| 1314. |
If x = 0.5 and y = 0.2, then the value of $$\sqrt {0.6}\times {\left( {3y} \right)^x}$$is equal to? |
| A. | 0 |
| B. | 0.5 |
| C. | 0.6 |
| D. | 0.1 |
| Answer» D. 0.1 | |
| 1315. |
If x : y = 7 : 3 then the value of $$\frac{{xy + {y^2}}}{{{x^2} - {y^2}}}{\text{ is?}}$$ |
| A. | $\frac{3}{4}$$ |
| B. | $\frac{4}{3}$$ |
| C. | $\frac{3}{7}$$ |
| D. | $\frac{7}{3}$$ |
| Answer» B. $\frac{4}{3}$$ | |
| 1316. |
If $$\frac{a}{b} = \frac{7}{9},{\text{ }}\frac{b}{c} = \frac{3}{5}{\text{,}}$$then the value of a : b : c is? |
| A. | : 9 : 15 |
| B. | : 9 : 5 |
| C. | 1 : 35 : 45 |
| D. | : 3 : 15 |
| Answer» B. : 9 : 5 | |
| 1317. |
If p = 999, then the value of $$\root 3 \of {p\left( {{p^2} + 3p + 3} \right) + 1} {\text{ is?}}$$ |
| A. | 000 |
| B. | 99 |
| C. | 98 |
| D. | 002 |
| Answer» B. 99 | |
| 1318. |
If $$\frac{1}{4} \times $$ $$\frac{2}{6} \times $$ $$\frac{3}{8} \times $$ $$\frac{4}{{10}} \times $$ $$\frac{5}{{12}} \times $$ . . . . .$$ \times \frac{{31}}{{64}}$$$$ = \frac{1}{{{2^x}}}$$then the value of x is? |
| A. | 1 |
| B. | 2 |
| C. | 6 |
| D. | 7 |
| Answer» D. 7 | |
| 1319. |
If x * y = x2 + y2 - xy, then the value of 9 * 11 is? |
| A. | 3 |
| B. | 03 |
| C. | 13 |
| D. | 21 |
| Answer» C. 13 | |
| 1320. |
If 47.2506 = 4A + 7B + 2C + $$\frac{5}{{\text{D}}}$$ + 6E, then the value of 5A + 3B + 6C + D + 3E is? |
| A. | 3.6003 |
| B. | 3.603 |
| C. | 53.6003 |
| D. | 13.0003 |
| Answer» D. 13.0003 | |
| 1321. |
Given that 100.48 = x, 100.70 = y and xz = y2, then the value of z is close to? |
| A. | 0.45 |
| B. | 0.88 |
| C. | 0.9 |
| D. | 0.7 |
| Answer» D. 0.7 | |
| 1322. |
If a ⊕ b = (a × b) + b, then 5 ⊕ 7 equals to? |
| A. | 2 |
| B. | 5 |
| C. | 2 |
| D. | 0 |
| Answer» D. 0 | |
| 1323. |
If $$\frac{{144}}{{0.144}} = \frac{{14.4}}{x}{\text{,}}$$then the value of x is? |
| A. | 44 |
| B. | 4.4 |
| C. | 0.44 |
| D. | 0.0144 |
| Answer» E. | |
| 1324. |
If A : B : C = 2 : 3 : 4, then $$\frac{{\text{A}}}{{\text{B}}}{\text{:}}\frac{{\text{B}}}{{\text{C}}}{\text{:}}\frac{{\text{C}}}{{\text{A}}}$$is equal to? |
| A. | : 9 : 16 |
| B. | : 9 : 12 |
| C. | : 9 : 24 |
| D. | : 9 : 16 |
| Answer» D. : 9 : 16 | |
| 1325. |
If $${\text{A}}:{\text{B}} = \frac{1}{2}:\frac{3}{8}{\text{,}}$$$${\text{B}}:{\text{C}} = \frac{1}{3}:\frac{5}{9}$$and$${\text{C}}:{\text{D}} = \frac{5}{6}:\frac{3}{4}{\text{,}}$$then find the ratio of A : B : C : D = ? |
| A. | : 4 : 8 : 10 |
| B. | : 8 : 9 : 10 |
| C. | : 6 : 10 : 9 |
| D. | : 6 : 8 : 10 |
| Answer» D. : 6 : 8 : 10 | |
| 1326. |
If a : b = 2 : 3 and b : c = 4 : 5, find a2 : b2 : bc = ? |
| A. | : 9 : 45 |
| B. | 6 : 36 : 45 |
| C. | 6 : 36 : 20 |
| D. | : 36 : 40 |
| Answer» C. 6 : 36 : 20 | |
| 1327. |
$${\text{If }}\frac{{4\sqrt 3+ 5\sqrt 2 }}{{\sqrt {48}+ \sqrt {18} }} = a + b\sqrt 6 {\text{,}}$$then the value of a and b are respectively? |
| A. | $\frac{9}{{15}}, - \frac{4}{{15}}$$ |
| B. | $\frac{3}{{11}},\frac{4}{{33}}$$ |
| C. | $\frac{9}{{10}},\frac{2}{5}$$ |
| D. | $\frac{3}{5},\frac{4}{{15}}$$ |
| Answer» E. | |
| 1328. |
$${\text{If }}\,\sqrt {1 + \frac{x}{9}}= \frac{{13}}{3}{\text{,}}$$then the value of x is? |
| A. | $\frac{{1439}}{9}$$ |
| B. | 60 |
| C. | $\frac{{1443}}{9}$$ |
| D. | 69 |
| Answer» C. $\frac{{1443}}{9}$$ | |
| 1329. |
If $$\frac{{2x - y}}{{x + 2y}} = \frac{1}{2}{\text{,}}$$then value of $$\frac{{3x - y}}{{3x + y}}\,{\text{is?}}$$ |
| A. | $\frac{1}{5}$$ |
| B. | $\frac{3}{5}$$ |
| C. | $\frac{4}{5}$$ |
| Answer» C. $\frac{4}{5}$$ | |
| 1330. |
If $$\frac{a}{3} = \frac{b}{2}{\text{,}}$$then the value of $$\frac{{2a + 3b}}{{3a - 2b}}\,{\text{is?}}$$ |
| A. | $\frac{{12}}{5}$$ |
| B. | $\frac{5}{{12}}$$ |
| C. | |
| Answer» B. $\frac{5}{{12}}$$ | |
| 1331. |
If x : y = 2 : 1, then (5x2 - 13xy + 6y2) is equal to ? |
| A. | $\frac{3}{4}$$ |
| B. | $\frac{4}{3}$$ |
| C. | |
| Answer» D. | |
| 1332. |
If 50% of (p - q) = 30% of (p + q), then p : q is equal to? |
| A. | : 3 |
| B. | : 1 |
| C. | : 5 |
| D. | : 4 |
| Answer» C. : 5 | |
| 1333. |
If p = 101, then the value of $$\root 3 \of {p\left( {{p^2} - 3p + 3} \right) - 1} $$is? |
| A. | 00 |
| B. | 01 |
| C. | 02 |
| D. | 000 |
| Answer» B. 01 | |
| 1334. |
If $$x = a + \frac{1}{a}$$and $$y = a - \frac{1}{a},$$   then the value of x4 + y4 - 2x2y2 is? |
| A. | 4 |
| B. | 8 |
| C. | 6 |
| D. | 2 |
| Answer» D. 2 | |
| 1335. |
If $$\frac{{2a + b}}{{a + 4b}} = 3{\text{,}}$$then find the value of $$\frac{{a + b}}{{a + 2b}} = ?$$ |
| A. | $\frac{5}{9}$$ |
| B. | $\frac{2}{7}$$ |
| C. | $\frac{{10}}{9}$$ |
| D. | $\frac{{10}}{7}$$ |
| Answer» D. $\frac{{10}}{7}$$ | |
| 1336. |
If $$\frac{a}{b}{\text{ = }}\frac{2}{3}$$and $$\frac{b}{c}{\text{ = }}\frac{4}{5}{\text{,}}$$then the ration $$\frac{{a + b}}{{b + c}}$$equal to? |
| A. | $\frac{{20}}{{27}}$$ |
| B. | $\frac{{27}}{{20}}$$ |
| C. | $\frac{6}{8}$$ |
| D. | $\frac{8}{6}$$ |
| Answer» B. $\frac{{27}}{{20}}$$ | |
| 1337. |
The value of $$\left( {{\text{1 + }}\frac{1}{x}} \right)$$ $$\left( {{\text{1 + }}\frac{1}{{x + 1}}} \right)$$$$\left( {{\text{1 + }}\frac{1}{{x + 2}}} \right)$$$$\left( {{\text{1 + }}\frac{1}{{x + 3}}} \right)$$is? |
| A. | $1 + \frac{1}{{x + 4}}$$ |
| B. | + 4 |
| C. | $\frac{1}{x}$$ |
| D. | $\frac{{x + 4}}{x}$$ |
| Answer» E. | |
| 1338. |
If a * b = 2a - 3b + ab, then 3 * 5 + 5 * 3 is equal to? |
| A. | 2 |
| B. | 4 |
| C. | 6 |
| D. | 8 |
| Answer» B. 4 | |
| 1339. |
If $$x + \frac{1}{x} = 3{\text{,}}$$then the value of $$\frac{{{x^3} + \frac{1}{x}}}{{{x^2} - x + 1}}\,{\text{is?}}$$ |
| A. | $\frac{3}{2}$$ |
| B. | $\frac{5}{2}$$ |
| C. | $\frac{7}{2}$$ |
| D. | $\frac{{11}}{2}$$ |
| Answer» D. $\frac{{11}}{2}$$ | |
| 1340. |
If $$x = 5 + 2\sqrt 6 {\text{,}}$$then the value of $$\left( {\sqrt x+ \frac{1}{{\sqrt x }}} \right)\,{\text{is?}}$$ |
| A. | ${\text{2}}\sqrt 2 $$ |
| B. | ${\text{3}}\sqrt 2 $$ |
| C. | ${\text{2}}\sqrt 3 $$ |
| D. | ${\text{3}}\sqrt 3 $$ |
| Answer» D. ${\text{3}}\sqrt 3 $$ | |
| 1341. |
If $$x = 3 + \sqrt 8 {\text{,}}$$then $${x^2} + \frac{1}{{{x^2}}}$$is equal to? |
| A. | 8 |
| B. | 6 |
| C. | 4 |
| D. | 0 |
| Answer» D. 0 | |
| 1342. |
If 1.5a = 0.04b then $$\frac{{b - a}}{{b + a}}$$is equal to? |
| A. | $\frac{{73}}{{77}}$$ |
| B. | $\frac{{77}}{{33}}$$ |
| C. | $\frac{2}{{75}}$$ |
| D. | $\frac{{75}}{2}$$ |
| Answer» B. $\frac{{77}}{{33}}$$ | |
| 1343. |
If $${4^{4x + 1}} = \frac{1}{{64}}{\text{,}}$$then the value of x is? |
| A. | $\frac{1}{2}$$ |
| B. | 1 |
| C. | $ - \frac{1}{2}$$ |
| D. | $ - \frac{1}{6}$$ |
| Answer» C. $ - \frac{1}{2}$$ | |
| 1344. |
$$\frac{{\sqrt {3 + x}+ \sqrt {3 - x} }}{{\sqrt {3 + x}- \sqrt {3 - x} }} = 2{\text{,}}$$then x is equal to? |
| A. | $\frac{5}{{12}}$$ |
| B. | $\frac{{12}}{5}$$ |
| C. | $\frac{5}{7}$$ |
| D. | $\frac{7}{5}$$ |
| Answer» C. $\frac{5}{7}$$ | |
| 1345. |
If $$x - \frac{1}{x} = 4{\text{,}}$$then $$\left( {x + \frac{1}{x}} \right)$$is equal to? |
| A. | ${\text{5}}\sqrt 2 $$ |
| B. | ${\text{2}}\sqrt 5 $$ |
| C. | ${\text{4}}\sqrt 2 $$ |
| D. | ${\text{4}}\sqrt 5 $$ |
| Answer» C. ${\text{4}}\sqrt 2 $$ | |
| 1346. |
If $$n + \frac{2}{3}n + \frac{1}{2}n + \frac{1}{7}n = 97{\text{,}}$$then the value of n is? |
| A. | 0 |
| B. | 2 |
| C. | 4 |
| D. | 6 |
| Answer» C. 4 | |
| 1347. |
For what values of k, the roots of 9x2 + 8kx + 16 = 0 are real and equal? |
| A. | 0 |
| B. | -2,2 |
| C. | -3,3 |
| D. | -4, 4 |
| Answer» D. -4, 4 | |
| 1348. |
If x4 + x-4 = 2599, then one of the values of x – x-1, where x > 0, is equal to: |
| A. | 9 |
| B. | 7 |
| C. | 5 |
| D. | 8 |
| Answer» C. 5 | |
| 1349. |
Expand (a - 4)3? |
| A. | a3 – 12a2 + 48a + 64 |
| B. | a3 – 48a2 + 12a – 64 |
| C. | a3 + 12a2 – 48a – 64 |
| D. | a3 – 12a2 + 48a – 64 |
| Answer» E. | |
| 1350. |
If \(\vec{a}, \vec{b}\) and \(\vec{c}\) are unit vectors, then \(|{a - b}|^2 + |{b - c}|^2 + |{c - a}|^2\) does not exceed |
| A. | 4 |
| B. | 9 |
| C. | 8 |
| D. | 6 |
| Answer» C. 8 | |