MCQOPTIONS
Saved Bookmarks
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.
| 1151. |
If \({x^2} - x + 1 = 0\), then the value of \({x^9} + {x^6} + {x^3} + 1\) is |
| A. | 1 |
| B. | -1 |
| C. | 0 |
| D. | None of the above |
| Answer» D. None of the above | |
| 1152. |
At least one eigenvalue of a singular matrix is |
| A. | Positive |
| B. | Zero |
| C. | Negative |
| D. | Imaginary |
| Answer» C. Negative | |
| 1153. |
If \(x=\frac{{\sqrt 3 }}{2}\), then the value of \(\frac{{\sqrt {1 + x} + \sqrt {1 - x} }}{{\sqrt {1 + x} - \sqrt {1 - x} }}\) is equal to: |
| A. | √2 |
| B. | √3 |
| C. | 3 |
| D. | 2 |
| Answer» C. 3 | |
| 1154. |
If x ≠ -1, 2 and 5, then the simplified value of \(\frac{{2\left( {{x^3} - 8} \right)}}{{{x^2} - x - 2}}\; \times \;\frac{{{x^2}\; + \;2x\; + \;1}}{{{x^2} - 4x - 5}} \div \;\frac{{{x^2}\; + \;2x\; + \;4}}{{3x - 15}}\) is equal to: |
| A. | 16 |
| B. | 6 |
| C. | 32 |
| D. | 23 |
| Answer» C. 32 | |
| 1155. |
Directions: In the following question, two equations are given. You have to solve both the equations and find the relation between ‘x’ and ‘y’ and mark the correct answer.I. y2 – 18y + 65 = 0II. x2 – 26x + 169 = 0 |
| A. | if x > y |
| B. | if x ≥ y |
| C. | if x < y |
| D. | if x ≤ y |
| E. | if x = y or the relationship cannot be established |
| Answer» C. if x < y | |
| 1156. |
If x + y + z = 17, xy + yz + zx = 85, then what is the value of \(\sqrt {{x^3} + {y^3} + {z^3} - 3xyz}\)? |
| A. | 11√3 |
| B. | 17√2 |
| C. | 17√3 |
| D. | 11√2 |
| Answer» C. 17√3 | |
| 1157. |
If (x - 1/3)2 + (y - 4)2 = 0, then what is the value of (y + x)/(y - x)? |
| A. | 11/13 |
| B. | 13/11 |
| C. | 16/9 |
| D. | 9/16 |
| Answer» C. 16/9 | |
| 1158. |
Direction: In the given question, two equations numbered l and II are given. You have to solve both the equations and mark the appropriate answer.I. 2x2 + 5x + 3 = 0II. 2y2 – 7y + 6 = 0 |
| A. | if x > y |
| B. | if x ≥ y |
| C. | if x < y |
| D. | if x ≤ y |
| E. | if x = y or the relationship cannot be established. |
| Answer» D. if x ≤ y | |
| 1159. |
If x - 11, then the value of x5 - 12x4 + 12x3 - 12x2 + 12x - 1 is? |
| A. | 1 |
| B. | 0 |
| C. | 2 |
| D. | 10 |
| Answer» C. 2 | |
| 1160. |
If $${x^2} + \frac{1}{{{x^2}}} = 98{\text{,}}$$$$\left( {x > 0} \right){\text{,}}$$then the value of $$x^3 + \frac{1}{{{x^3}}}$$is? |
| A. | 70 |
| B. | 030 |
| C. | 970 |
| D. | 1030 |
| Answer» B. 030 | |
| 1161. |
If $$a + \frac{1}{b}$$= $$b + \frac{1}{c}$$= $$c + \frac{1}{a}$$(where a ≠ b ≠ c), then abc is equal to? |
| A. | 1 |
| B. | 1 |
| C. | 1 & -1 |
| D. | one of these |
| Answer» D. one of these | |
| 1162. |
If a = 2, b = -3, then the value of 27a3 - 54a2b + 36ab2 - 8b3 is? |
| A. | 562 |
| B. | 616 |
| C. | 676 |
| D. | 728 |
| Answer» E. | |
| 1163. |
If $$x + \frac{1}{{9x}} = 4{\text{,}}$$then $${\text{9}}{x^2} + \frac{1}{{9{x^2}}}$$is? |
| A. | 40 |
| B. | 42 |
| C. | 44 |
| D. | 46 |
| Answer» C. 44 | |
| 1164. |
If ab = 21 and $$\frac{{{{\left( {a + b} \right)}^2}}}{{{{\left( {a - b} \right)}^2}}}$$= $$\frac{{25}}{4}{\text{,}}$$then the value of a2 + b2 + 3ab is? |
| A. | 15 |
| B. | 21 |
| C. | 25 |
| D. | 27 |
| Answer» C. 25 | |
| 1165. |
If a + b + c = 0, then the value of a3 + b3 + c3 is? |
| A. | bc |
| B. | abc |
| C. | abc |
| Answer» D. | |
| 1166. |
If x = 222, y = 223, z = 225, then the value of x3 + y3 + z3 is? |
| A. | 590 |
| B. | 690 |
| C. | 950 |
| D. | 960 |
| Answer» C. 950 | |
| 1167. |
If $$4x + \frac{1}{x} = 5,$$$$x \ne 0{\text{,}}$$then the value of $$\frac{{5x}}{{4{x^2} + 10x + 1}}$$is? |
| A. | $\frac{1}{2}$$ |
| B. | $\frac{1}{3}$$ |
| C. | $\frac{2}{3}$$ |
| Answer» C. $\frac{2}{3}$$ | |
| 1168. |
If a + b = 10 and ab = 21, then the value of (a - b)2 is? |
| A. | 5 |
| B. | 6 |
| C. | 7 |
| D. | 8 |
| Answer» C. 7 | |
| 1169. |
If $$2x + \frac{1}{{3x}} = 5{\text{,}}$$then the value of $$\frac{{5x}}{{6{x^2} + 20x + 1}}$$is? |
| A. | $\frac{1}{4}$$ |
| B. | $\frac{1}{6}$$ |
| C. | $\frac{1}{5}$$ |
| D. | $\frac{1}{7}$$ |
| Answer» E. | |
| 1170. |
If x, y and z are real numbers such that (x - 3)2 + (y - 4)2 + (z - 5)2 = 0, then (x + y + z) is equal to? |
| A. | 0 |
| B. | 4 |
| C. | 1 |
| D. | 2 |
| Answer» E. | |
| 1171. |
The third proportional of the following numbers (x - y)2, (x2 - y2) = ? |
| A. | x + y3) (x + y4) |
| B. | x + y)4 (x - y)2 |
| C. | x + y) (x - y)2 |
| D. | x + y)2 (x - y)3 |
| Answer» D. x + y)2 (x - y)3 | |
| 1172. |
If $$x = \sqrt a+ \frac{1}{{\sqrt a }}{\text{,}}$$$$y = \sqrt a- \frac{1}{{\sqrt a }}{\text{,}}$$$$\left( {a > 0} \right)$$then the value of x4 + y4 - 2x2y2 is? |
| A. | 6 |
| B. | 0 |
| C. | 0 |
| Answer» B. 0 | |
| 1173. |
If $$\sqrt 3+ \frac{1}{{\sqrt 3 }}{\text{,}}$$then the value of $$\left( {x - \frac{{\sqrt {126} }}{{\sqrt {42} }}} \right)$$$$\left( {x - \frac{1}{{x - \frac{{2\sqrt 3 }}{3}}}} \right)$$is? |
| A. | ${\text{5}}\frac{{\sqrt 3 }}{6}$$ |
| B. | $\frac{{2\sqrt 3 }}{3}$$ |
| C. | $\frac{5}{6}$$ |
| D. | $\frac{2}{3}$$ |
| Answer» D. $\frac{2}{3}$$ | |
| 1174. |
If $$\sqrt x $$- $$\sqrt y $$= 1, $$\sqrt x $$+ $$\sqrt y $$= 17, then $$\sqrt {xy} $$= ? |
| A. | $\sqrt {72} $$ |
| B. | 2 |
| C. | 2 |
| D. | 4 |
| Answer» C. 2 | |
| 1175. |
If a(x + y) = b(x - y) = 2ab, then the value of 2(x2 + y2) is? |
| A. | (a2 - b2) |
| B. | (a2 + b2) |
| C. | (a2 - b2) |
| D. | (a2 + b2) |
| Answer» E. | |
| 1176. |
If (x - 5)2 + (y - 2)2 + (z - 9)2 = 0, then the value of (x + y - z) is? |
| A. | 6 |
| B. | 1 |
| C. | 2 |
| D. | 2 |
| Answer» D. 2 | |
| 1177. |
If $$x + \frac{1}{x} = 5{\text{,}}$$then the value of $$\frac{{5x}}{{{x^2} + 5x + 1}}$$is? |
| A. | $\frac{1}{3}$$ |
| B. | $\frac{1}{4}$$ |
| C. | $\frac{1}{2}$$ |
| D. | $\frac{1}{5}$$ |
| Answer» D. $\frac{1}{5}$$ | |
| 1178. |
If $${\text{2}}x - \frac{1}{{2x}} = 5{\text{,}}$$$${\text{x}} \ne {\text{0,}}$$then find the value of $${x^2} + \frac{1}{{16{x^2}}} - 2$$= ? |
| A. | $\frac{{19}}{4}$$ |
| B. | $\frac{{23}}{4}$$ |
| C. | $\frac{{27}}{4}$$ |
| D. | $\frac{{31}}{4}$$ |
| Answer» B. $\frac{{23}}{4}$$ | |
| 1179. |
A complete factorisation of x4 + 64 is? |
| A. | x2 + 8)2 |
| B. | x2 + 8)(x2 - 8) |
| C. | x2 - 4x + 8)(x2 - 4x - 8) |
| D. | x2 + 4x + 8)(x2 - 4x + 8) |
| Answer» E. | |
| 1180. |
If the sum of square of two real numbers is 41, and their sum is 9. Then the sum of cubes of these two numbers is ? |
| A. | 69 |
| B. | 09 |
| C. | 89 |
| D. | 98 |
| Answer» D. 98 | |
| 1181. |
If p = 99, then the value of p(p2 + 3p + 3) is? |
| A. | 999 |
| B. | 99999 |
| C. | 9999 |
| D. | 99 |
| Answer» C. 9999 | |
| 1182. |
When a number x is divided by a divisor it is seen that the divisor = 4 times the quotient = double of remainder. If the remainder is 80, then the value of x is? |
| A. | 480 |
| B. | 680 |
| C. | 460 |
| D. | 680 |
| Answer» B. 680 | |
| 1183. |
If a2 + b2 + c2 = 16, x2 + y2 + z2 = 25 and ax + by + cz = 20 then the value of $$\frac{{a + b + c}}{{x + y + z}}$$= ? |
| A. | $\frac{3}{5}$$ |
| B. | $\frac{4}{5}$$ |
| C. | $\frac{5}{3}$$ |
| D. | $\frac{5}{4}$$ |
| Answer» C. $\frac{5}{3}$$ | |
| 1184. |
If x4 + 2x3 + ax2 + bx + 9 is a perfect square where a and b are positive real numbers, then the value of a and b is? |
| A. | = 5, b = 6 |
| B. | = 6, b = 7 |
| C. | = 7, b = 7 |
| D. | = 7, b = 8 |
| Answer» C. = 7, b = 7 | |
| 1185. |
If $$x = \frac{{\sqrt 5+ 1}}{{\sqrt 5- 1}}$$and $${\text{y}} = \frac{{\sqrt 5- 1}}{{\sqrt 5+ 1}}{\text{,}}$$then the value of $$\frac{{{x^2} + xy + {y^2}}}{{{x^2} - xy + {y^2}}}$$is? |
| A. | $\frac{3}{4}$$ |
| B. | $\frac{5}{3}$$ |
| C. | $\frac{4}{3}$$ |
| D. | $\frac{3}{5}$$ |
| Answer» D. $\frac{3}{5}$$ | |
| 1186. |
The simplified value of $$\left( {1 - \frac{{2xy}}{{{x^2} + {y^2}}}} \right)$$$$ ÷ $$ $$\left( {\frac{{{x^3} - {y^3}}}{{x - y}} - 3xy} \right)$$is? |
| A. | $\frac{1}{{{x^2} - {y^2}}}$$ |
| B. | $\frac{1}{{{x^2} + {y^2}}}$$ |
| C. | $\frac{1}{{x - y}}$$ |
| D. | $\frac{1}{{x + y}}$$ |
| Answer» C. $\frac{1}{{x - y}}$$ | |
| 1187. |
If $$\left( {x + \frac{1}{x}} \right)$$: $$\left( {x - \frac{1}{x}} \right)$$= 5 : 3 the value of x is/are ? |
| A. | 1 |
| B. | 2 |
| C. | 3` |
| Answer» C. 3` | |
| 1188. |
$$p + \frac{1}{{p + 2}} = 1{\text{,}}$$Find the value of $${\left( {p + 2} \right)^3}$$$$+$$ $$\frac{1}{{{{\left( {p + 2} \right)}^3}}}$$$$-$$ 3 = ? |
| A. | 2 |
| B. | 6 |
| C. | 8 |
| D. | 5 |
| Answer» E. | |
| 1189. |
If xy(x + y) = m, then the value of x3 + y3 + 3m is? |
| A. | $\frac{{{m^3}}}{{xy}}$$ |
| B. | $\frac{{{m^3}}}{{{{\left( {x + y} \right)}^2}}}$$ |
| C. | $\frac{{{m^3}}}{{{x^3}{y^3}}}$$ |
| D. | $\frac{m}{{{x^3}{y^3}}}$$ |
| Answer» D. $\frac{m}{{{x^3}{y^3}}}$$ | |
| 1190. |
If $${x^2} + {y^2} = 29$$and xy = 10 where x > 0, y > 0, x > y, then the value of $$\frac{{x + y}}{{x - y}}$$is? |
| A. | $ - \frac{7}{3}$$ |
| B. | $\frac{7}{3}$$ |
| C. | $\frac{3}{7}$$ |
| D. | $ - \frac{3}{7}$$ |
| Answer» C. $\frac{3}{7}$$ | |
| 1191. |
If $$x = {\left( {0.25} \right)^{\frac{1}{2}}},$$$$y = {\left( {0.4} \right)^2},$$$$z = {\left( {0.216} \right)^{\frac{1}{2}}}$$then- |
| A. | > x > z |
| B. | > y > z |
| C. | > x > y |
| D. | > z > y |
| Answer» E. | |
| 1192. |
If $$2x + \frac{2}{{9x}} = 4{\text{,}}$$then the value of $$27{x^3} + \frac{1}{{27{x^3}}}$$is? |
| A. | 80 |
| B. | 98 |
| C. | 34 |
| D. | 52 |
| Answer» C. 34 | |
| 1193. |
If a + b = 5 and a - b = 3, then the value of (a2 + b2) is? |
| A. | 7 |
| B. | 8 |
| C. | 9 |
| D. | 0 |
| Answer» B. 8 | |
| 1194. |
If $${x^2} + 5x + 6 = 0{\text{,}}$$then the value of $$\frac{{2x}}{{{x^2} - 7x + 6}}$$is? |
| A. | $\frac{1}{6}$$ |
| B. | $\frac{1}{3}$$ |
| C. | $ - \frac{1}{6}$$ |
| D. | $ - \frac{1}{3}$$ |
| Answer» D. $ - \frac{1}{3}$$ | |
| 1195. |
If a - b = 1 and a3 - b3 = 61, then the value of ab will be? |
| A. | 20 |
| B. | 0 |
| C. | 0 |
| D. | 0 |
| Answer» C. 0 | |
| 1196. |
If p = 99, then the value of p(p2 + 3p + 3) will be? |
| A. | 000000 |
| B. | 99999 |
| C. | 99998 |
| D. | 99997 |
| Answer» C. 99998 | |
| 1197. |
If x + y = 4, x2 + y2 = 14 and x > y. Then the correct value of x and y is? |
| A. | $2 - \sqrt 2 ,\sqrt 3 $$ |
| B. | $3,1$$ |
| C. | $2 + \sqrt 3 ,2 - \sqrt 3 $$ |
| D. | $2 + \sqrt 3 ,2\sqrt 2 $$ |
| Answer» D. $2 + \sqrt 3 ,2\sqrt 2 $$ | |
| 1198. |
If x(x + y + z) = 20, y = (x + y + z) = 30 & z(x + y + z) = 50, then the value of 2(x + y + z) is? |
| A. | 0 |
| B. | 0 |
| C. | 5 |
| D. | 8 |
| Answer» B. 0 | |
| 1199. |
If $$\frac{x}{y}{\text{ = }}\frac{{a + 2}}{{a - 2}}{\text{,}}$$then the value of $$\frac{{{x^2} - {y^2}}}{{{x^2} + {y^2}}}$$= ? |
| A. | $\frac{{2a}}{{{a^2} + 2}}$$ |
| B. | $\frac{{4a}}{{{a^2} + 4}}$$ |
| C. | $\frac{{2a}}{{{a^2} + 4}}$$ |
| D. | $\frac{{4a}}{{{a^2} + 2}}$$ |
| Answer» C. $\frac{{2a}}{{{a^2} + 4}}$$ | |
| 1200. |
The sum of $$\frac{1}{{x + y}}$$and $$\frac{1}{{x - y}}$$is? |
| A. | $\frac{{2y}}{{{x^2} - {y^2}}}$$ |
| B. | $\frac{{2x}}{{{x^2} - {y^2}}}$$ |
| C. | $\frac{{ - 2y}}{{{x^2} - {y^2}}}$$ |
| D. | $\frac{{2x}}{{{y^2} - {x^2}}}$$ |
| Answer» C. $\frac{{ - 2y}}{{{x^2} - {y^2}}}$$ | |