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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.
| 151. |
If ab + bc + ca = 8 and a2 + b2 + c2 = 20, then a possible value of 1/2 × (a + b + c)[(a – b)2 + (b – c)2 + (c – a)2] is: |
| A. | 72 |
| B. | 56 |
| C. | 820 |
| D. | 84 |
| Answer» B. 56 | |
| 152. |
If \(a-\dfrac{1}{a}=7\), then \(a^3 - \dfrac{1}{a^3}= \ ?\) |
| A. | 322 |
| B. | 364 |
| C. | 357 |
| D. | 343 |
| Answer» C. 357 | |
| 153. |
If \(\sqrt{11 - 3 \sqrt{8}} = a + b \sqrt{2}\), then what is the value of (2a + 3b)? |
| A. | 7 |
| B. | 9 |
| C. | 3 |
| D. | 5 |
| Answer» D. 5 | |
| 154. |
A cricket ball weighs 160g. What is the weight of a pack containing 12 balls? |
| A. | 1920g |
| B. | 1600g |
| C. | 1200g |
| D. | 1620g |
| Answer» B. 1600g | |
| 155. |
If the difference between two numbers is 6 and the difference between their squares is 60, what is the sum of their cubes ? |
| A. | 894 |
| B. | 945 |
| C. | 678 |
| D. | 520 |
| Answer» E. | |
| 156. |
In a fraction, twice the numerator is two more than the denominator. If 3 is added to the numerator and the denominator each, then the resultant fraction will be 2/3. What was the original fraction? |
| A. | 5/18 |
| B. | 6/13 |
| C. | 13/6 |
| D. | 7/12 |
| Answer» E. | |
| 157. |
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. x2 - 18x - 63 = 0II. y2 - 8y - 48 = 0 |
| A. | x > y |
| B. | x < y |
| C. | x ≥ y |
| D. | x ≤ y |
| E. | Either x = y or Relationship between x and y cannot be established |
| Answer» F. | |
| 158. |
If a + b + c = 0, then which of the following are correct?1. a3 + b3 + c3 = 3abc2. a2 + b2 + c2 = -2(ab + bc + ca)3. a3 + b3 + c3 = -3ab(a + b)Select the correct answer using the code given below. |
| A. | 1 and 2 only |
| B. | 2 and 3 only |
| C. | 1 and 3 only |
| D. | 1, 2 and 3 |
| Answer» E. | |
| 159. |
If two cows and three horses cost Rs. 4,000 and three cows and two horses cost Rs. 3,500, how much does a cow cost ? |
| A. | Rs. 1,500 |
| B. | Rs. 1,000 |
| C. | Rs. 500 |
| D. | Rs. 2,000 |
| Answer» D. Rs. 2,000 | |
| 160. |
If x - 1/x = 4, then x3 - 1/x3 is equal to∶ |
| A. | 72 |
| B. | 68 |
| C. | 76 |
| D. | 64 |
| Answer» D. 64 | |
| 161. |
If ab + bc + ca = 0, then what is the value of a2/(a2 – bc) + b2/(b2 – ca) + c2/(c2 – ab)? |
| A. | 3 |
| B. | 0 |
| C. | -1 |
| D. | 1 |
| Answer» E. | |
| 162. |
a2 + b2 = 100 and ab = 48, find the value of (a + b)/(a - b). |
| A. | 7 |
| B. | 49 |
| C. | 2401 |
| D. | 343 |
| Answer» B. 49 | |
| 163. |
If \(\sqrt x - \frac{1}{{\sqrt x }}{\rm{\;}} = {\rm{\;}}4\), then \({x^2}{\rm{\;}} + {\rm{\;}}\frac{1}{{{x^2}}}\) is equal to: |
| A. | 322 |
| B. | 326 |
| C. | 256 |
| D. | 192 |
| Answer» B. 326 | |
| 164. |
If \(\frac{{7x + 9y}}{{3x - 4y}} = \frac{{19}}{8}\), then the value of x/y is __________. |
| A. | 148/1 |
| B. | 1/148 |
| C. | 145/1 |
| D. | 1/145 |
| Answer» B. 1/148 | |
| 165. |
If \(\dfrac{a}{3}=\dfrac{b}{5}=\dfrac{c}{7}\), then the value of \(\dfrac{a+b+c}{b}\) is - |
| A. | 3 |
| B. | 5 |
| C. | 1/3 |
| D. | 1/5 |
| Answer» B. 5 | |
| 166. |
If 40x2 = 7342 – 2342, then find the value of x.A) 110B) 121C) 11D) 144 |
| A. | C |
| B. | D |
| C. | B |
| D. | A |
| Answer» E. | |
| 167. |
Directions: In the following questions two equations numbered I and II are given. You have to solve both the equations and Give answer:I. 2x2 – 9x + 9 = 0II. 2y2 – 9y + 10 = 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» F. | |
| 168. |
If a3 + b3 = -117 and ab = -10, then what is the value of a + b? |
| A. | 7 |
| B. | 10 |
| C. | 1 |
| D. | -3 |
| Answer» E. | |
| 169. |
A determinant (Δ) of 3 rows (R1, R2, R3) and 3 columns (C1, C2, C3) has a value Δ = 15. If two columns C2 and C3 of determinant (Δ) are interchanged, then the value of determinant will be |
| A. | 15 |
| B. | -15 |
| C. | 45 |
| D. | -45 |
| Answer» C. 45 | |
| 170. |
If a + b + c = 2s, then [(s – a)2 + (s – b)2 + (s – c)2 + s2] = ? |
| A. | (s2 – a2 – b2 – c2) |
| B. | (s2 + a2 + b2 + c2) |
| C. | (a2 + b2 + c2) |
| D. | (4s2 – a2 – b2 – c2) |
| Answer» D. (4s2 – a2 – b2 – c2) | |
| 171. |
If x – 3 + [1/(x – 3)] = 4, what is the value of (x – 3)3 + [1/(x – 3)]3? |
| A. | 14 |
| B. | 18 |
| C. | 52 |
| D. | 76 |
| Answer» D. 76 | |
| 172. |
If \(\frac{{{{\rm{x}}^{32}} - 1}}{{{{\rm{x}}^{16}}}}{\rm{}} = {\rm{}}5\) then find the value of \(\frac{{{{\rm{x}}^{96}} - 1}}{{{{\rm{x}}^{48}}}}\) |
| A. | 40 |
| B. | 70 |
| C. | 140 |
| D. | 180 |
| Answer» D. 180 | |
| 173. |
If the roots of the quadratic equation x2 - 4x - log10 N = 0 are real, then what is the minimum value of N ? |
| A. | 1 |
| B. | \(\frac{1}{10}\) |
| C. | \(\frac{1}{1000}\) |
| D. | \(\frac{1}{10000}\) |
| Answer» E. | |
| 174. |
If a + b + c = 0, then the value of \(\frac{{{a^3}\; + \; {b^3}\; + \;{c^3}}}{{abc}}\) is: |
| A. | 1 |
| B. | 0 |
| C. | -1 |
| D. | 3 |
| Answer» E. | |
| 175. |
If the sum of the roots of ax2 + bx + c = 0 is equal to the sum of the squares of their reciprocals, then which one of the following relation is correct? |
| A. | ab2 + bc2 = 2a2c |
| B. | ac2 + bc2 = 2b2a |
| C. | ab2 + bc2 = a2c |
| D. | a2 + b2 + c2 = 1 |
| Answer» B. ac2 + bc2 = 2b2a | |
| 176. |
In the given question, two equations numbered l and II are given. You have to solve both the equations and mark the appropriate answerI. 16a2 - 52a + 22 = 0II. 30b2 + 56b + 10 = 0 |
| A. | a < b |
| B. | a > b |
| C. | a ≤ b |
| D. | a ≥ b |
| E. | a = b or the relationship cannot be determined |
| Answer» C. a ≤ b | |
| 177. |
A boat travels at a speed of 18 km per hour and brings 540 kg of fish in one trip. The number of trips required to catch 43,200 kg of fish is_____. |
| A. | 80 |
| B. | 300 |
| C. | 2400 |
| D. | 30 |
| Answer» B. 300 | |
| 178. |
If x + y + z = 6, xyz = - 10 and x2 + y2 + z2 = 30, then what is the value of (x3 + y3 + z3)? |
| A. | 135 |
| B. | 132 |
| C. | 130 |
| D. | 127 |
| Answer» C. 130 | |
| 179. |
If r + s = -8, rs = -12, then r2 + s2 =? |
| A. | 74 |
| B. | 78 |
| C. | 64 |
| D. | 88 |
| Answer» E. | |
| 180. |
If x + y = 4, xy = 2, y + z = 5, yz = 3, z + x = 6 and zx = 4, then find the value of \(x^3 + y^3 + z^3 — 3xyz\). |
| A. | 151.75 |
| B. | 152.75 |
| C. | 153.75 |
| D. | 150.75 |
| Answer» D. 150.75 | |
| 181. |
2 tables and 3 chairs together cost Rs. 2000 whereas 3 tables and 2 chairs together cost Rs. 2500. What will be the total cost of 1 table and 5 chairs? |
| A. | Rs. 1700 |
| B. | Rs. 1900 |
| C. | Rs. 1500 |
| D. | Rs. 800 |
| Answer» B. Rs. 1900 | |
| 182. |
99 × 99 = ?A. 9791B. 9801C. 9881D. 9901 |
| A. | A |
| B. | B |
| C. | C |
| D. | D |
| Answer» C. C | |
| 183. |
A quadratic equation has two origins \(x = \frac 1 {11}\) and \(x = \frac {-1} {9}\). How can the equation be written in the following way? |
| A. | (11x - 1)(9x - 1) = 0 |
| B. | (11x - 1)(9x + 1) = 0 |
| C. | (11x + 1)(9x - 1) = 0 |
| D. | (11x + 1)(9x + 1) = 0 |
| Answer» C. (11x + 1)(9x - 1) = 0 | |
| 184. |
Given that 0.8 is one root of the equation, x3 - 0.6x2 - 1.84x + 1.344 = 0. The other roots of this equation will be |
| A. | 1.1 and - 1.4 |
| B. | - 1.2 and - 1.4 |
| C. | 1.2 and -1.4 |
| D. | -1.1 and - 1.4 |
| Answer» D. -1.1 and - 1.4 | |
| 185. |
If \({x^2} - 2\sqrt {10} x + 1 = 0\), then what is the value of \(x - \frac{1}{x}?\) |
| A. | 4 |
| B. | 6 |
| C. | 3 |
| D. | 5 |
| Answer» C. 3 | |
| 186. |
If \(3\sqrt {\frac{{1{\rm{\;}} - {\rm{\;}}a}}{a}} + 9 = 19 - 3\sqrt {\frac{a}{{1{\rm{\;}} - {\rm{\;}}a}}} \), then what is the value of a? |
| A. | 3/10, 7/10 |
| B. | 1/10, 9/10 |
| C. | 2/5, 3/5 |
| D. | 1/5, 4/5 |
| Answer» C. 2/5, 3/5 | |
| 187. |
74 books and 106 pens together cost Rs. 1910 while 106 books and 74 pens together cost Rs. 2230. The cost of a book and a pen is: |
| A. | Rs. 30 |
| B. | Rs. 37 |
| C. | Rs. 25 |
| D. | Rs. 23 |
| Answer» E. | |
| 188. |
If 3√3 x3 – 2√2 y3 = (x √3 – y √2)(Ax2 + By2 + Cxy) then the value of (A × B) ÷ C is: |
| A. | 6√6 |
| B. | 6√3 |
| C. | √6 |
| D. | √3 |
| Answer» D. √3 | |
| 189. |
How many distinct positive integer-valued solutions exist to the equation(x2 - 7x + 11)(x2- 13x + 42) = 1? |
| A. | 4 |
| B. | 6 |
| C. | 8 |
| D. | 2 |
| Answer» C. 8 | |
| 190. |
If x = 3, y = 2, then the value of (x + y)(x - y) is? |
| A. | 5 |
| B. | 6 |
| C. | 4 |
| D. | 0 |
| Answer» B. 6 | |
| 191. |
Cost of 4 pens, 6 notebooks and 9 files is Rs. 305. Cost of 3 pens, 4 notebooks and 2 files is Rs. 145. What is the cost (in Rs) of 5 pens, 8 notebooks and 16 files? |
| A. | 415 |
| B. | 465 |
| C. | 440 |
| D. | Cannot be determined |
| Answer» C. 440 | |
| 192. |
Compute of 54367 × 9999 = ?A. 546315633B. 543655633C. 543651633D. 543615633 |
| A. | A |
| B. | B |
| C. | C |
| D. | D |
| Answer» E. | |
| 193. |
If 250√2 x3 – 5√5 y3 = (5√2 x - √5 y) × (Ax2 + Bxy + Cy2), then the value of A + C - √10 B is: |
| A. | 10 |
| B. | 5 |
| C. | 5√2 |
| D. | 2√5 |
| Answer» C. 5√2 | |
| 194. |
If (x + 1/x) = 10, then (x3 + 1/x3) is equal to: |
| A. | 970 |
| B. | 1100 |
| C. | 1000 |
| D. | 1030 |
| Answer» B. 1100 | |
| 195. |
If 6(a - b) = 216 and 6(a + b) = 7,776, what is the value b? |
| A. | 630 |
| B. | 480 |
| C. | 390 |
| D. | 210 |
| Answer» B. 480 | |
| 196. |
If (x/5) + (5/x) = – 2, then what is the value of x3? |
| A. | -125 |
| B. | 5 |
| C. | 1/125 |
| D. | 625 |
| Answer» B. 5 | |
| 197. |
If a = 299, b = 298, c = 297 then the value of 2a3 + 2b3 + 2c3 – 6abc is: |
| A. | 5154 |
| B. | 5267 |
| C. | 5364 |
| D. | 5456 |
| Answer» D. 5456 | |
| 198. |
If 3x - 10 = - (2x + 5), then the numerical value of (x - 4)3 is |
| A. | 27 |
| B. | 125 |
| C. | -125 |
| D. | -27 |
| Answer» E. | |
| 199. |
If \(\vec a = \hat i - \hat j + \hat k,\;\vec b = 2\hat i + 3\hat j + 2\hat k\) and \(\vec c = \hat i + m\hat j + n\hat k\) are three coplanar vectors and \(\left| {\vec c} \right| = \sqrt 6\), then which one of the following is correct? |
| A. | m = 2 and n = ± 1 |
| B. | m = ± 2 and n = -1 |
| C. | m = 2 and n = -1 |
| D. | m = ± 2 and n = 1 |
| Answer» E. | |
| 200. |
Find \(|\vec a \times \vec b|\) if \(\vec a = 4\hat i + 3\hat j + 4\hat k \ and\ \vec b = 6\hat i + 7\hat j + 8 \hat k\) ? |
| A. | 5 |
| B. | \(2\sqrt{5}\) |
| C. | \(6\sqrt{5}\) |
| D. | 6 |
| Answer» D. 6 | |