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.
| 1201. |
If x = 5, then the value of the expression $${x^2} - 2 + \frac{1}{{{x^2}}}$$is? |
| A. | $\frac{{576}}{{25}}$$ |
| B. | $\frac{{24}}{{25}}$$ |
| C. | $\frac{{24}}{5}$$ |
| D. | $\frac{{625}}{{24}}$$ |
| Answer» B. $\frac{{24}}{{25}}$$ | |
| 1202. |
The area (in sq. unit) of the triangle formed by the graphs of the equations x = 4, y = 3 and 3x + 4y = 12 is? |
| A. | 4 sq. units |
| B. | sq. units |
| C. | 2 sq. units |
| D. | sq. units |
| Answer» C. 2 sq. units | |
| 1203. |
If x = a(b - c), y = b(c - a), z = c(a - b), then the value of $${\left( {\frac{x}{a}} \right)^3}$$+ $${\left( {\frac{y}{b}} \right)^3}$$+ $${\left( {\frac{z}{c}} \right)^3}$$is? |
| A. | $\frac{{xyz}}{{abc}}$$ |
| B. | $\frac{{2xyz}}{{abc}}$$ |
| C. | $\frac{{3xyz}}{{abc}}$$ |
| Answer» D. | |
| 1204. |
If a2 + b2 + c2 - ab - bc - ca = 0 then a : b : c is? |
| A. | : 2 : 1 |
| B. | : 1 : 1 |
| C. | : 1 : 2 |
| D. | : 1 : 1 |
| Answer» E. | |
| 1205. |
If $$\frac{{x + 1}}{{x - 1}} = \frac{a}{b}$$and $$\frac{{1 - y}}{{1 + y}} = \frac{b}{a}{\text{,}}$$then the value of $$\frac{{x - y}}{{1 + xy}}$$is? |
| A. | $\frac{{{a^2} - {b^2}}}{{ab}}$$ |
| B. | $\frac{{{a^2} + {b^2}}}{{2ab}}$$ |
| C. | $\frac{{{a^2} - {b^2}}}{{2ab}}$$ |
| D. | $\frac{{2ab}}{{{a^2} - {b^2}}}$$ |
| Answer» E. | |
| 1206. |
If x + y + z = 6 and xy + yz + zx = 10, then the value of x3 + y3 + z3 - 3xyz is? |
| A. | 6 |
| B. | 0 |
| C. | 2 |
| D. | 8 |
| Answer» B. 0 | |
| 1207. |
When xm is multiplied by xn, product is 1. The relation between m and n is? |
| A. | n = 1 |
| B. | + n = 1 |
| C. | = n |
| D. | = -n |
| Answer» E. | |
| 1208. |
If $$m = \sqrt {5 + \sqrt {5 + \sqrt {5.....} } } $$and $$n = \sqrt {5 - \sqrt {5 - \sqrt {5.....} } } $$then among the following the relation between m & n holds is? |
| A. | - n + 1 = 0 |
| B. | + n + 1 = 0 |
| C. | + n - 1 = 0 |
| D. | - n - 1 = 0 |
| Answer» E. | |
| 1209. |
3(a2 + b2 + c2) = (a + b + c)2 then the relation between a, b and c is ? |
| A. | = b ≠ c |
| B. | ≠ b ≠ c |
| C. | ≠ b = c |
| D. | = b = c |
| Answer» E. | |
| 1210. |
If $$x + \left( {\frac{1}{x}} \right) = 2{\text{,}}$$then the value of $${x^7}{\text{ + }}\left( {\frac{1}{{{x^5}}}} \right)$$is? |
| A. | 5 |
| B. | 12 |
| C. | |
| Answer» D. | |
| 1211. |
If $$x + \frac{1}{x} = 1{\text{,}}$$then the value of $$\frac{{{x^2} + 3x + 1}}{{{x^2} + 7x + 1}}$$is? |
| A. | $\frac{1}{2}$$ |
| B. | $\frac{3}{7}$$ |
| Answer» B. $\frac{3}{7}$$ | |
| 1212. |
$$\frac{{m - {a^2}}}{{{b^2} + {c^2}}}$$+ $$\frac{{m - {b^2}}}{{{c^2} + {a^2}}}$$+ $$\frac{{m - {c^2}}}{{{a^2} + {b^2}}}$$= 3, then the value of m is? |
| A. | 2 + b2 |
| B. | 2 + b2 + c2 |
| C. | 2 - b2 - c2 |
| D. | 2 + b2 - c2 |
| Answer» C. 2 - b2 - c2 | |
| 1213. |
If x = 332, y = 333, z = 335, then the value of x3 + y3 + z3 - 3xyz is? |
| A. | 000 |
| B. | 000 |
| C. | 000 |
| D. | 0000 |
| Answer» B. 000 | |
| 1214. |
If m = -4, n = -2,then the value of m3 - 3m2 + 3m + 3n + 3n2 + n3 is? |
| A. | 24 |
| B. | 124 |
| C. | 26 |
| D. | 126 |
| Answer» E. | |
| 1215. |
If $${x^2} + x = 5{\text{,}}$$then the value of $${\left( {x + 3} \right)^3} + \frac{1}{{{{\left( {x + 3} \right)}^3}}} = ?$$ |
| A. | 40 |
| B. | 10 |
| C. | 30 |
| D. | 20 |
| Answer» C. 30 | |
| 1216. |
If x = z = 225 and y = 226, then the value of x3 + y3 + z3 - 3xyz = ? |
| A. | 65 |
| B. | 76 |
| C. | 74 |
| D. | 76 |
| Answer» C. 74 | |
| 1217. |
Simplified value of $$\left[ {\,\left( {1 + \frac{1}{{10 + \frac{1}{{10}}}}} \right)\,\left( {1 + \frac{1}{{10 + \frac{1}{{10}}}}} \right)\,\, - \,\,\left( {1 - \frac{1}{{10 + \frac{1}{{10}}}}} \right)\,\left( {1 - \frac{1}{{10 + \frac{1}{{10}}}}} \right)\,} \right]$$$$ ÷ $$$$\left[ {\,\left( {1 + \frac{1}{{10 + \frac{1}{{10}}}}} \right)\,\, + \,\,\left( {1 - \frac{1}{{10 + \frac{1}{{10}}}}} \right)\,} \right]$$= ? |
| A. | $\frac{{20}}{{101}}$$ |
| B. | $\frac{{100}}{{101}}$$ |
| C. | |
| Answer» B. $\frac{{100}}{{101}}$$ | |
| 1218. |
If $$x = \frac{{\sqrt 5- \sqrt 3 }}{{\sqrt 5+ \sqrt 3 }}$$and $$y = \frac{{\sqrt 5+ \sqrt 3 }}{{\sqrt 5- \sqrt 3 }}$$then the value of $$\frac{{{x^2} + xy + {y^2}}}{{{x^2} - xy + {y^2}}} = ?$$ |
| A. | $\frac{{65}}{{63}}$$ |
| B. | $\frac{{67}}{{65}}$$ |
| C. | $\frac{{69}}{{67}}$$ |
| D. | $\frac{{63}}{{61}}$$ |
| Answer» E. | |
| 1219. |
If 5x + 9y = 5 and 125x3 + 729y3 = 120, then the value of the product of x and y is? |
| A. | 5 |
| B. | $\frac{1}{9}$$ |
| C. | $\frac{1}{{135}}$$ |
| D. | 35 |
| Answer» D. 35 | |
| 1220. |
If $$x = \sqrt {a\root 3 \of {ab\sqrt {a\root 3 \of {ab} } } } .... \propto $$then the value of x is? |
| A. | $\root 5 \of {{a^2}b} $$ |
| B. | $\root 5 \of {{a^4}{b^4}} $$ |
| C. | $\root 6 \of {{a^5}b} $$ |
| D. | $\root 5 \of {{a^4}b} $$ |
| Answer» E. | |
| 1221. |
If $$a + \frac{1}{a} = 3,$$then the value of $${a^3} + \frac{1}{{{a^3}}}$$is? |
| A. | 7 |
| B. | 4 |
| C. | 9 |
| D. | 8 |
| Answer» E. | |
| 1222. |
If a + b + c = m and $$\frac{1}{a}$$ + $$\frac{1}{b}$$ + $$\frac{1}{c}{\text{,}}$$ then average ofa2, b2, c2 is? |
| A. | ${m^2}$$ |
| B. | $\frac{{{m^2}}}{3}$$ |
| C. | $\frac{{{m^2}}}{9}$$ |
| D. | $\frac{{{m^2}}}{{27}}$$ |
| Answer» C. $\frac{{{m^2}}}{9}$$ | |
| 1223. |
If for a non - zero x, 3x2 + 5x + 3 = 0, then the value of $${x^3} + \frac{1}{{{x^3}}}$$is? |
| A. | $\frac{{10}}{{27}}$$ |
| B. | $ - \left( {\frac{{10}}{{27}}} \right)$$ |
| C. | $\frac{2}{3}$$ |
| D. | $ - \left( {\frac{2}{3}} \right)$$ |
| Answer» B. $ - \left( {\frac{{10}}{{27}}} \right)$$ | |
| 1224. |
If $$\frac{a}{b} = \frac{1}{2},$$find the value of the expression $$\frac{{\left( {2a - 5b} \right)}}{{\left( {5a + 3b} \right)}}$$= ? |
| A. | 32 |
| B. | 1 |
| C. | $\frac{{ - 8}}{{11}}$$ |
| D. | 7 |
| Answer» D. 7 | |
| 1225. |
If $$\frac{{m - 3{a^3}}}{{{b^3} + {c^3}}}$$$$+$$ $$\frac{{m - 3{b^3}}}{{{c^3} + {a^3}}}$$$$+$$ $$\frac{{m - 3{c^3}}}{{{a^3} + {b^3}}}$$= 9, then the value of m is? |
| A. | ${a^2} + {b^2} + {c^2}$$ |
| B. | ${\text{2}}{a^2} + 2{b^2} + 2{c^2}$$ |
| C. | ${\text{3}}{a^2} + 3{b^2} + 3{c^2}$$ |
| Answer» D. | |
| 1226. |
If p(x + y)2 = 5 and q(x - y)2 = 3, then the simplified value of p2(x + y)2 + 4pqxy - q2(x - y)2 is? |
| A. | (p + q) |
| B. | (p + q) |
| C. | 2(p + q) |
| D. | + q |
| Answer» B. (p + q) | |
| 1227. |
The graph of linear equation y = x passes throughout the point ? |
| A. | $\left( {\frac{3}{2}, - \frac{3}{2}} \right)$$ |
| B. | $\left( {0, - \frac{3}{2}} \right)$$ |
| C. | $\left( {1,1} \right)$$ |
| D. | $\left( { - \frac{1}{2},\frac{1}{2}} \right)$$ |
| Answer» D. $\left( { - \frac{1}{2},\frac{1}{2}} \right)$$ | |
| 1228. |
If $$\frac{a}{b} = \frac{{25}}{6}{\text{,}}$$then the value of $$\frac{{{a^2} - {b^2}}}{{{a^2} + {b^2}}}$$is? |
| A. | $\frac{{589}}{{651}}$$ |
| B. | $\frac{{589}}{{661}}$$ |
| C. | $\frac{{661}}{{589}}$$ |
| D. | $\frac{{625}}{{36}}$$ |
| Answer» C. $\frac{{661}}{{589}}$$ | |
| 1229. |
If $$a = \frac{{\sqrt 3- \sqrt 2 }}{{\sqrt 3+ \sqrt 2 }}$$and $$b = \frac{{\sqrt 3+ \sqrt 2 }}{{\sqrt 3- \sqrt 2 }}{\text{,}}$$then the value of $$\frac{{{a^2}}}{b}$$+ $$\frac{{{b^2}}}{a}$$= ? |
| A. | 030 |
| B. | 70 |
| C. | 025 |
| D. | 30 |
| Answer» C. 025 | |
| 1230. |
The simplified value of following is: $$\left( {\frac{3}{{15}}{a^5}{b^6}{c^3} \times \frac{5}{9}a{b^5}{c^4}} \right)$$$$ ÷ $$ $$\frac{{10}}{{27}}{a^2}b{c^3}$$ |
| A. | $\frac{3}{{10}}a{b^4}{c^3}$$ |
| B. | $\frac{9}{{10}}{a^2}b{c^4}$$ |
| C. | $\frac{3}{{10}}{a^4}{b^{10}}{c^4}$$ |
| D. | $\frac{1}{{10}}{a^4}{b^4}{c^{10}}$$ |
| Answer» D. $\frac{1}{{10}}{a^4}{b^4}{c^{10}}$$ | |
| 1231. |
If a + b + c = 26 and ab + bc + ca = 109, find the value of a2 + b2 + c2 = ? |
| A. | 58 |
| B. | 72 |
| C. | 52 |
| D. | 76 |
| Answer» B. 72 | |
| 1232. |
Find the value of a and b if (x - 1) and (x + 1) are factors of x4 + ax3 - 3x2 + 2x + b = ? |
| A. | , -1 |
| B. | 2, 1 |
| C. | 2, 2 |
| D. | , -1 |
| Answer» D. , -1 | |
| 1233. |
The term to be added to 121a2 + 64b2 to make a perfect square is? |
| A. | 76 ab |
| B. | 76 a2b |
| C. | 78 ab |
| D. | 88 b2a |
| Answer» B. 76 a2b | |
| 1234. |
The graph of 2x + 1 = 0 and 3y - 9 = 0 intersect at the point? |
| A. | $\left( { - \frac{1}{2}, - 3} \right)$$ |
| B. | $\left( { - \frac{1}{2},3} \right)$$ |
| C. | $\left( {\frac{1}{2}, - 3} \right)$$ |
| D. | one of these |
| Answer» C. $\left( {\frac{1}{2}, - 3} \right)$$ | |
| 1235. |
If the equation 2x2 - 7x + 12 = 0 has two roots $$\alpha$$ and $$\beta$$, then the value of $$\frac{\alpha }{\beta }{\text{ + }}\frac{\beta }{\alpha }\,{\text{is?}}$$ |
| A. | $\frac{7}{2}$$ |
| B. | $\frac{1}{{24}}$$ |
| C. | $\frac{7}{{24}}$$ |
| D. | $\frac{{97}}{{24}}$$ |
| Answer» C. $\frac{7}{{24}}$$ | |
| 1236. |
If x = 2 then the value of x3 + 27x2 + 243x + 631 = ? |
| A. | 321 |
| B. | 233 |
| C. | 231 |
| D. | 211 |
| Answer» C. 231 | |
| 1237. |
If $$\frac{{{x^{24}} + 1}}{{{x^{12}}}} = 7,$$then the value of $$\frac{{{x^{72}} + 1}}{{{x^{36}}}} = \,?$$ |
| A. | 43 |
| B. | 33 |
| C. | 32 |
| D. | 22 |
| Answer» E. | |
| 1238. |
If t2 - 4t + 1 = 0, then the value of $${t^3} + \frac{1}{{{t^3}}}$$is? |
| A. | 4 |
| B. | 8 |
| C. | 2 |
| D. | 4 |
| Answer» D. 4 | |
| 1239. |
If a + b = 12, ab = 22, then (a2 + b2) is equal to? |
| A. | 88 |
| B. | 44 |
| C. | 4 |
| D. | 00 |
| Answer» E. | |
| 1240. |
If $$a + \frac{1}{b}$$= $$b + \frac{1}{c}$$= $$c + \frac{1}{a}$$ $$\left( {a \ne b \ne c} \right)$$then the value of abc is? |
| A. | $ \pm {\text{1}}$$ |
| B. | $ \pm {\text{2}}$$ |
| C. | |
| Answer» B. $ \pm {\text{2}}$$ | |
| 1241. |
The reciprocal of $$x + \frac{1}{x}$$is? |
| A. | $\frac{x}{{{x^2} + 1}}$$ |
| B. | $\frac{x}{{x + 1}}$$ |
| C. | $x - \frac{1}{x}$$ |
| D. | $\frac{1}{x} + x$$ |
| Answer» B. $\frac{x}{{x + 1}}$$ | |
| 1242. |
If $$\frac{{b - c}}{a}$$+ $$\frac{{a + c}}{b}$$+ $$\frac{{a - b}}{c}$$= 1 and a - b + c ≠ 0 then which one of the following relations is true ? |
| A. | $\frac{1}{c} = \frac{1}{a} + \frac{1}{b}$$ |
| B. | $\frac{1}{a} = \frac{1}{b} + \frac{1}{c}$$ |
| C. | $\frac{1}{b} = \frac{1}{a} - \frac{1}{c}$$ |
| D. | $\frac{1}{b} = \frac{1}{a} + \frac{1}{c}$$ |
| Answer» C. $\frac{1}{b} = \frac{1}{a} - \frac{1}{c}$$ | |
| 1243. |
If $$a = 2 + \sqrt 3 {\text{,}}$$then the value of $$\left( {{a^2} + \frac{1}{{{a^2}}}} \right) = \,?$$ |
| A. | 2 |
| B. | 4 |
| C. | 6 |
| D. | 0 |
| Answer» C. 6 | |
| 1244. |
The simplest form of the expression $$\frac{{{p^2} - p}}{{2{p^3} + {p^2}}}$$+ $$\frac{{{p^2} - 1}}{{{p^2} + 3p}}$$+ $$\frac{{{p^2}}}{{p + 1}}$$   = ? |
| A. | p3 |
| B. | $\frac{1}{{2{p^2}}}$$ |
| C. | + 3 |
| D. | $\frac{1}{{p + 3}}$$ |
| Answer» C. + 3 | |
| 1245. |
If a + b + c = 0, then a3 + b3 + c3 is equal to? |
| A. | + b + c |
| B. | bc |
| C. | abc |
| D. | abc |
| Answer» E. | |
| 1246. |
If a + b + c = 15 and a2 + b2 + c2 = 83 then the value of a3 + b3 + c3 - 3abc = ? |
| A. | 00 |
| B. | 80 |
| C. | 90 |
| D. | 10 |
| Answer» C. 90 | |
| 1247. |
If $$2x + \frac{2}{x} = 3{\text{,}}$$then the value of $${x^3} + \frac{1}{{{x^3}}} + 2$$is? |
| A. | $ - \frac{9}{8}$$ |
| B. | $ - \frac{{25}}{8}$$ |
| C. | $\frac{7}{8}$$ |
| D. | 1 |
| Answer» D. 1 | |
| 1248. |
If (x - 1) and (x + 3) are the factors of x2 + k1x + k2 then- |
| A. | 1 = -2, k2 = -3 |
| B. | 1 = 2, k2 = -3 |
| C. | 1 = -2, k2 = 3 |
| D. | 1 = 2, k2 = 3 |
| Answer» C. 1 = -2, k2 = 3 | |
| 1249. |
If $${x^2} + \frac{1}{5}x + {a^2}$$is a perfect square, then a is? |
| A. | $\frac{1}{{100}}$$ |
| B. | $ \pm \frac{1}{{10}}$$ |
| C. | $\frac{1}{{10}}$$ |
| D. | $ - \frac{1}{{10}}$$ |
| Answer» D. $ - \frac{1}{{10}}$$ | |
| 1250. |
If a + b = 1, c + d = 1 and a - b = $$\frac{d}{c}{\text{,}}$$then the value of c2 - d2 = ? |
| A. | $\frac{a}{b}$$ |
| B. | $\frac{b}{a}$$ |
| C. | |
| Answer» C. | |