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.
| 1251. |
If $$x \ne 0,$$$$y \ne 0$$and $$z \ne 0$$and $$\frac{1}{{{x^2}}}$$+ $$\frac{1}{{{y^2}}}$$+ $$\frac{1}{{{z^2}}}$$= $$\frac{1}{{xy}}$$+ $$\frac{1}{{yz}}$$+ $$\frac{1}{{zx}}$$then the relation among x, y, z is? |
| A. | + y + y = 0 |
| B. | + y = z |
| C. | $\frac{1}{x} + \frac{1}{y} + \frac{1}{z} = 0$$ |
| D. | = y = z |
| Answer» E. | |
| 1252. |
If $$\frac{a}{b} = \frac{4}{5}$$and $$\frac{b}{c} = \frac{{15}}{{16}}{\text{,}}$$then $$\frac{{18{c^2} - 7{a^2}}}{{45{c^2} + 20{a^2}}}$$is equal to? |
| A. | $\frac{1}{3}$$ |
| B. | $\frac{2}{5}$$ |
| C. | $\frac{3}{4}$$ |
| D. | $\frac{1}{4}$$ |
| Answer» E. | |
| 1253. |
If $$\frac{{x - {a^2}}}{{b + c}}$$+ $$\frac{{x - {b^2}}}{{c + a}}$$+ $$\frac{{x - {c^2}}}{{a + b}}$$= 4(a + b + c), then x = ? |
| A. | a + b + c)2 |
| B. | 2 + b2 + c2 |
| C. | b + bc + ca |
| D. | 2 + b2 + c2 - ab - bc - ca |
| Answer» B. 2 + b2 + c2 | |
| 1254. |
If x + y + z = 6 and x2 + y2 + z2 = 20, then the value of x3 + y3 + z3 - 3xyz is? |
| A. | 4 |
| B. | 0 |
| C. | 2 |
| D. | 6 |
| Answer» D. 6 | |
| 1255. |
If $$x > 1$$and $${x^2} + \frac{1}{{{x^2}}} = 83,$$then the $${x^3} - \frac{1}{{{x^3}}}\,{\text{is?}}$$ |
| A. | 64 |
| B. | 50 |
| C. | 56 |
| D. | 60 |
| Answer» D. 60 | |
| 1256. |
The value of $$\frac{{4{x^3} - x}}{{\left( {2x + 1} \right)\left( {6x - 3} \right)}}$$when x = 9999 is? |
| A. | 111 |
| B. | 222 |
| C. | 333 |
| D. | 666 |
| Answer» D. 666 | |
| 1257. |
If $$x + \frac{1}{x} = 3{\text{,}}$$then the value of $$\frac{{3{x^2} - 4x + 3}}{{{x^2} - x + 1}}$$is? |
| A. | $\frac{4}{3}$$ |
| B. | $\frac{3}{2}$$ |
| C. | $\frac{5}{2}$$ |
| D. | $\frac{5}{3}$$ |
| Answer» D. $\frac{5}{3}$$ | |
| 1258. |
The factors of (a2 + 4b2 + 4b - 4ab - 2a - 8) are? |
| A. | a - 2b - 4)(a - 2b + 2) |
| B. | a - b - 2)(a + 2b + 2) |
| C. | a + 2b - 4)(a + 2b + 2) |
| D. | a + 2b - 4)(a - 2b + 2) |
| Answer» B. a - b - 2)(a + 2b + 2) | |
| 1259. |
If $$x = \sqrt 5+ 2{\text{,}}$$then the value of $$\frac{{2{x^2} - 3x - 2}}{{3{x^2} - 4x - 3}}$$is equal to? |
| A. | 0.1785 |
| B. | 0.525 |
| C. | 0.625 |
| D. | 0.785 |
| Answer» D. 0.785 | |
| 1260. |
If x2 - 3x + 1 = 0, then the value of $$\frac{{{x^6} + {x^4} + {x^2} + 1}}{{{x^3}}}$$will be? |
| A. | 8 |
| B. | 5 |
| C. | 1 |
| D. | 0 |
| Answer» D. 0 | |
| 1261. |
If $$x + \frac{1}{x} = 5{\text{,}}$$then $${x^6}{\text{ + }}\frac{1}{{{x^6}}}$$is? |
| A. | 2098 |
| B. | 2048 |
| C. | 4062 |
| D. | 2092 |
| Answer» B. 2048 | |
| 1262. |
If $${x^2} + \frac{1}{{{x^2}}} = 66{\text{,}}$$then the value of $$\frac{{{x^2} - 1 + 2x}}{x}$$= ? |
| A. | 8 |
| B. | 0, -6 |
| C. | , -10 |
| D. | 4 |
| Answer» C. , -10 | |
| 1263. |
If $$x - \frac{1}{x} = 1{\text{,}}$$then the value of $$\frac{{{x^4} - \frac{1}{{{x^2}}}}}{{3{x^2} + 5x - 3}}$$= ? |
| A. | $\frac{1}{4}$$ |
| B. | $\frac{1}{2}$$ |
| C. | $\frac{3}{4}$$ |
| Answer» C. $\frac{3}{4}$$ | |
| 1264. |
If $${a^{\frac{1}{3}}} + {b^{\frac{1}{3}}} + {c^{\frac{1}{3}}} = 0,$$then a relation among a, b, c is? |
| A. | + b + c = 0 |
| B. | a + b + c)3 = 27abc |
| C. | + b + c = 3abc |
| D. | 3 + b3 + c3 = 0 |
| Answer» C. + b + c = 3abc | |
| 1265. |
If $$x$$ = $$\sqrt 3- \frac{1}{{\sqrt 3 }}$$and $$y$$ = $$\sqrt 3+ \frac{1}{{\sqrt 3 }}$$then the value of $$\frac{{{x^2}}}{y} + \frac{{{y^2}}}{x}$$is? |
| A. | $\sqrt 3 $$ |
| B. | ${\text{3}}\sqrt 3 $$ |
| C. | ${\text{16}}\sqrt 3 $$ |
| D. | ${\text{2}}\sqrt 3 $$ |
| Answer» C. ${\text{16}}\sqrt 3 $$ | |
| 1266. |
If a2 + b2 = 5ab, then the value of $$\left( {\frac{{{a^2}}}{{{b^2}}}{\text{ + }}\frac{{{b^2}}}{{{a^2}}}} \right)$$is? |
| A. | 2 |
| B. | 6 |
| C. | 3 |
| D. | 23 |
| Answer» D. 23 | |
| 1267. |
If $$x\left( {3 - \frac{2}{x}} \right) = \frac{3}{x}{\text{,}}$$then the value of $${x^2}{\text{ + }}\frac{1}{{{x^2}}}$$is? |
| A. | ${\text{2}}\frac{1}{9}$$ |
| B. | ${\text{2}}\frac{4}{9}$$ |
| C. | ${\text{3}}\frac{1}{9}$$ |
| D. | ${\text{3}}\frac{4}{9}$$ |
| Answer» C. ${\text{3}}\frac{1}{9}$$ | |
| 1268. |
If $$x = 3 + 2\sqrt 2 {\text{,}}$$then the value of $${x^2}{\text{ + }}\frac{1}{{{x^2}}}{\text{ is?}}$$ |
| A. | 6 |
| B. | 0 |
| C. | 2 |
| D. | 4 |
| Answer» E. | |
| 1269. |
If $$x + \frac{1}{x} = 5{\text{,}}$$then the value of $$\frac{{{x^4} + 3{x^3} + 5{x^2} + 3x + 1}}{{{x^4} + 1}} = ?$$ |
| A. | $\frac{{43}}{{23}}$$ |
| B. | $\frac{{47}}{{21}}$$ |
| C. | $\frac{{41}}{{23}}$$ |
| D. | $\frac{{45}}{{21}}$$ |
| Answer» B. $\frac{{47}}{{21}}$$ | |
| 1270. |
If a3 - b3 = 56 and a - b = 2, then the value of a2 + b2 will be? |
| A. | 8 |
| B. | 0 |
| C. | 2 |
| Answer» C. 2 | |
| 1271. |
If the expression $$\frac{{{x^2}}}{{{y^2}}} + tx + \frac{{{y^2}}}{4}$$   is a perfect square, then the value of t is? |
| A. | 1 |
| B. | 2 |
| C. | |
| Answer» B. 2 | |
| 1272. |
If x - y = 2, xy = 24, then the value of (x2 + y2) is? |
| A. | 5 |
| B. | 6 |
| C. | 3 |
| D. | 2 |
| Answer» E. | |
| 1273. |
If x = 3 + 2$$\sqrt 2 $$ and xy = 1, then the value of $$\frac{{{x^2} + 3xy + {y^2}}}{{{x^2} - 3xy + {y^2}}}$$is? |
| A. | $\frac{{30}}{{31}}$$ |
| B. | $\frac{{70}}{{31}}$$ |
| C. | $\frac{{35}}{{31}}$$ |
| D. | $\frac{{37}}{{31}}$$ |
| Answer» E. | |
| 1274. |
If p + q = 10 and pq = 5, then the numerical value of $$\frac{p}{q}{\text{ + }}\frac{q}{p}$$will be? |
| A. | 6 |
| B. | 0 |
| C. | 2 |
| D. | 8 |
| Answer» E. | |
| 1275. |
If $$x = \sqrt 3+ \sqrt 2 {\text{,}}$$then the value of $$\left( {x + \frac{1}{x}} \right)\,{\text{is?}}$$ |
| A. | ${\text{2}}\sqrt 2 $$ |
| B. | ${\text{2}}\sqrt 3 $$ |
| Answer» C. | |
| 1276. |
If a3 - b3 - c3 - 3abc = 0, then - |
| A. | = b = c |
| B. | + b + c = 0 |
| C. | + c = b |
| D. | = b + c |
| Answer» E. | |
| 1277. |
If $$3x + \frac{1}{{2x}} = 5{\text{,}}$$then the value of$${\text{8}}{x^3}{\text{ + }}\frac{1}{{27{x^3}}}\,{\text{is?}}$$ |
| A. | ${\text{118}}\frac{1}{2}$$ |
| B. | ${\text{30}}\frac{{10}}{{27}}$$ |
| Answer» C. | |
| 1278. |
If $$x + \frac{1}{{4x}} = \frac{3}{2}{\text{,}}$$find the value of$${\text{8}}{x^3}{\text{ + }}\frac{1}{{8{x^3}}} = ?$$ |
| A. | 8 |
| B. | 6 |
| C. | 4 |
| D. | 6 |
| Answer» B. 6 | |
| 1279. |
If ax2 + bx + c = a(x - p)2, then the relation among a, b, c would be? |
| A. | bc = 1 |
| B. | 2 = ac |
| C. | 2 = 4ac |
| D. | b = a + c |
| Answer» D. b = a + c | |
| 1280. |
If x : y = 3 : 4, then the value of $$\frac{{5x - 2y}}{{7x + 2y}} = ?$$ |
| A. | $\frac{7}{{25}}$$ |
| B. | $\frac{7}{{23}}$$ |
| C. | $\frac{7}{{29}}$$ |
| D. | $\frac{7}{{17}}$$ |
| Answer» D. $\frac{7}{{17}}$$ | |
| 1281. |
If $${a^{\frac{1}{3}}} = 11,$$then the value of a2 - 331a is? |
| A. | 331331 |
| B. | 331000 |
| C. | 334331 |
| D. | 330030 |
| Answer» C. 334331 | |
| 1282. |
If x varies inversely as (y2 - 1) and x is equal to 24 when y = 10, then the value of x when y = 5 is? |
| A. | 9 |
| B. | 2 |
| C. | 4 |
| D. | 00 |
| Answer» B. 2 | |
| 1283. |
If $$\frac{x}{a} = \frac{1}{a} - \frac{1}{x}{\text{,}}$$then the value of x - x2 is? |
| A. | a |
| B. | $\frac{1}{a}$$ |
| C. | |
| Answer» D. | |
| 1284. |
If $$x = 5 - \sqrt {21} {\text{,}}$$then the value of $$\frac{{\sqrt x }}{{\sqrt {32 - 2x}- \sqrt {21} }}$$is? |
| A. | $\frac{1}{{\sqrt 2 }}\left( {\sqrt 3- \sqrt 7 } \right)$$ |
| B. | $\frac{1}{{\sqrt 2 }}\left( {\sqrt 7- \sqrt 3 } \right)$$ |
| C. | $\frac{1}{{\sqrt 2 }}\left( {\sqrt 7+ \sqrt 3 } \right)$$ |
| D. | $\frac{1}{{\sqrt 2 }}\left( {7 + \sqrt 3 } \right)$$ |
| Answer» C. $\frac{1}{{\sqrt 2 }}\left( {\sqrt 7+ \sqrt 3 } \right)$$ | |
| 1285. |
a = $$\sqrt 6 \,$$ - $$\sqrt 5 $$ , b = $$\sqrt 5 \,$$ - 2, c = 2 - $$\sqrt 3 $$then point out the correct alternative among the four alternatives given below ? |
| A. | < a < c |
| B. | < c < b |
| C. | < c < a |
| D. | < b < c |
| Answer» E. | |
| 1286. |
$${\text{The value of }}\frac{{4 + 3\sqrt 3 }}{{7 + 4\sqrt 3 }}{\text{ is?}}$$ |
| A. | $$\sqrt 3 $$ - 8 |
| B. | $$\sqrt 5 $$ + 8 |
| C. | $$\sqrt 3 $$ + 5 |
| D. | $$\sqrt 3 $$ - 5 |
| Answer» B. $$\sqrt 5 $$ + 8 | |
| 1287. |
If a2 - 4a - 1 = 0 then value of $${a^2} + \frac{1}{{{a^2}}} + 3a - \frac{3}{a}$$is? |
| A. | 5 |
| B. | 0 |
| C. | 5 |
| D. | 0 |
| Answer» C. 5 | |
| 1288. |
If $$\frac{{xy}}{{x + y}} = a,$$$$\frac{{xz}}{{x + z}} = b$$and $$\frac{{yz}}{{y + z}} = c{\text{,}}$$where a, b, c are all non - zero numbers, then x equals to? |
| A. | $\frac{{2abc}}{{ab + bc - ac}}$$ |
| B. | $\frac{{2abc}}{{ab - bc + ac}}$$ |
| C. | $\frac{{2abc}}{{bc + ac - ab}}$$ |
| D. | $\frac{{2abc}}{{ab + bc + ac}}$$ |
| Answer» D. $\frac{{2abc}}{{ab + bc + ac}}$$ | |
| 1289. |
If $$x + \frac{1}{x} = 99{\text{,}}$$find the value of$$\frac{{100x}}{{2{x^2} + 2 + 102x}}$$is? |
| A. | $\frac{1}{6}$$ |
| B. | $\frac{1}{2}$$ |
| C. | $\frac{1}{3}$$ |
| D. | $\frac{1}{4}$$ |
| Answer» D. $\frac{1}{4}$$ | |
| 1290. |
If x : y = 4 : 15 then the value of $$\left( {\frac{{x - y}}{{x + y}}} \right)$$is? |
| A. | $\frac{{11}}{{19}}$$ |
| B. | $\frac{{19}}{{11}}$$ |
| C. | $\frac{4}{{11}}$$ |
| D. | $\frac{{15}}{{19}}$$ |
| Answer» B. $\frac{{19}}{{11}}$$ | |
| 1291. |
The lines 2x + y = 5 and x + 2y = 4 intersect at the point? |
| A. | 1, 2) |
| B. | 2, 1) |
| C. | 2, 0) |
| D. | 0, 2) |
| Answer» C. 2, 0) | |
| 1292. |
If x + y + z = 6, then the value of (x - 1)3 + (y - 2)3 + (z - 3)3 is? |
| A. | (x - 1)(y + 2)(z - 3) |
| B. | (x + 1)(y - 2)(z - 3) |
| C. | (x - 1)(y - 2)(z + 3) |
| D. | (x - 1)(y - 2)(z - 3) |
| Answer» E. | |
| 1293. |
If $$x - \frac{1}{x} = 3{\text{,}}$$then the value of $${x^3} - \frac{1}{{{x^3}}}\,{\text{is?}}$$ |
| A. | 2 |
| B. | 6 |
| C. | 0 |
| D. | 9 |
| Answer» C. 0 | |
| 1294. |
If $$x + \frac{1}{x} = 3{\text{,}}$$then the value of $$\left( {{x^5} + \frac{1}{{{x^5}}}} \right)\,{\text{is?}}$$ |
| A. | 22 |
| B. | 26 |
| C. | 23 |
| D. | 13 |
| Answer» D. 13 | |
| 1295. |
If $$\sqrt {0.04 \times 0.4 \times a} $$= 0.004 × 0.4 × $$\sqrt b ,$$then the value of $$\frac{a}{b}\,{\text{is?}}$$ |
| A. | ${\text{16}} \times {\text{1}}{{\text{0}}^{ - 3}}$$ |
| B. | ${\text{16}} \times {\text{1}}{{\text{0}}^{ - 4}}$$ |
| C. | ${\text{16}} \times {\text{1}}{{\text{0}}^{ - 5}}$$ |
| D. | ${\text{16}} \times {\text{1}}{{\text{0}}^{ - 6}}$$ |
| Answer» D. ${\text{16}} \times {\text{1}}{{\text{0}}^{ - 6}}$$ | |
| 1296. |
$${\text{If }}\sqrt {1 + \frac{x}{{961}}}= \frac{{32}}{{31}}{\text{,}}$$then the value of x is? |
| A. | 3 |
| B. | 1 |
| C. | 5 |
| D. | 4 |
| Answer» B. 1 | |
| 1297. |
If x * y = (x + 3)2 (y - 1), then the value of 5 * 4 is? |
| A. | 92 |
| B. | 82 |
| C. | 80 |
| D. | 72 |
| Answer» B. 82 | |
| 1298. |
If $$\sqrt {0.03 \times 0.3a} $$= $${\text{0}}{\text{.3}} \times {\text{0}}{\text{.3}} \times \sqrt b {\text{,}}$$value of $$\frac{a}{b}\,{\text{is?}}$$ |
| A. | 0.009 |
| B. | 0.03 |
| C. | 0.9 |
| D. | 0.08 |
| Answer» D. 0.08 | |
| 1299. |
If (125)x = 3125, then the value of x is? |
| A. | $\frac{1}{5}$$ |
| B. | $\frac{3}{5}$$ |
| C. | $\frac{5}{3}$$ |
| D. | $\frac{5}{7}$$ |
| Answer» D. $\frac{5}{7}$$ | |
| 1300. |
If ⊗ is an operation such that a ⊗ b = 2a when a > b, a + b when a < b, a2 when a = b, then $$\left[ {\frac{{\left( {5 \otimes 7} \right) + \left( {4 \otimes 4} \right)}}{{3\left( {5 \otimes 5} \right) - \left( {15 \otimes 11} \right) - 3}}} \right]$$is equal to? |
| A. | $\frac{1}{3}$$ |
| B. | $\frac{{14}}{{23}}$$ |
| C. | $\frac{2}{3}$$ |
| D. | $\frac{{14}}{{13}}$$ |
| Answer» D. $\frac{{14}}{{13}}$$ | |