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.
| 251. |
If 5x = 30-y = 6z , then what is the value of (xy + yz + xz)/xyz? |
| A. | 0 |
| B. | 1 |
| C. | 2 |
| D. | 3 |
| Answer» B. 1 | |
| 252. |
Kiran had 85 currency notes in all some of which were of Rs. 100 denominations and the remaining of Rs. 50 denomination. The total amount of all these currency notes was Rs. 5000. How much amount did she have in the denomination of Rs. 50? |
| A. | Rs. 3500 |
| B. | Rs. 4000 |
| C. | Rs. 4200 |
| D. | Rs. 4500 |
| Answer» B. Rs. 4000 | |
| 253. |
In the following question, two equations numbered I and II are given. You have to solve both the equations and give answer:I. y2 = 49II. (x – y)2 = 0 |
| A. | x > y |
| B. | x ≥ y |
| C. | x < y |
| D. | x ≤ y |
| E. | x = y or the relation cannot be determined |
| Answer» F. | |
| 254. |
If a = 500, b = 502 and c = 504, then the value of a3 + b3 + c3 – 3abc |
| A. | 15060 |
| B. | 12048 |
| C. | 18072 |
| D. | 17040 |
| Answer» D. 17040 | |
| 255. |
If the sum of squares of two real numbers is 41 and their sum is 9. Then the sum of cubes of these two numbers is: |
| A. | 169 |
| B. | 209 |
| C. | 189 |
| D. | 198 |
| Answer» D. 198 | |
| 256. |
If a + a2 + a3 - 1 = 0, then what is the value of a3 + (1/a)? |
| A. | 1 |
| B. | 4 |
| C. | 2 |
| D. | 3 |
| Answer» D. 3 | |
| 257. |
If \(\frac{{6x}}{{\left( {2{x^2}{\rm{\;}} + {\rm{\;}}5x - 2{\rm{\;}}} \right)}}{\rm{}} = {\rm{}}1,{\rm{\;}}x > 0\), then the value of \({x^3}{\rm{}} + {\rm{}}\frac{1}{{{x^3}}}\) is : |
| A. | 5√17/16 |
| B. | 5√17/8 |
| C. | 3√17/4 |
| D. | 3√17/8 |
| Answer» C. 3√17/4 | |
| 258. |
Let S be a set of first 10 natural numbers. What is the possible number of pairs (a, b) where a, b ∈ S and a ≠ b such that the product ab (>12) leaves remainder 4 when divided by 12? |
| A. | 4 |
| B. | 6 |
| C. | 8 |
| D. | 10 |
| Answer» D. 10 | |
| 259. |
If x – x-1 = 6, then the value of x4 + x-4 is: |
| A. | 1158 |
| B. | 1154 |
| C. | 1440 |
| D. | 1442 |
| Answer» E. | |
| 260. |
If X + Y = 3, XY = 2, find the value of X3 – Y3 |
| A. | 7 |
| B. | 3 |
| C. | 5 |
| D. | 9 |
| Answer» B. 3 | |
| 261. |
If (5√5 x3 – 81√3 y3) ÷ (√5 x – 3√3 y) = (Ax2 + By2 + Cxy), then the value of (6A + B – √15 C) is: |
| A. | 12 |
| B. | 15 |
| C. | 9 |
| D. | 10 |
| Answer» B. 15 | |
| 262. |
Find the blank: - (212)2 = _______ |
| A. | 44410 |
| B. | 40406 |
| C. | 40404 |
| D. | 44944 |
| Answer» E. | |
| 263. |
1120 / √x = 80 then x = ? |
| A. | 125 |
| B. | 225 |
| C. | 336 |
| D. | 196 |
| Answer» E. | |
| 264. |
Calculate the value of \(\frac{{\left( {61681 \times 61681 - 31681 \times 31681} \right)}}{{30000}}\) |
| A. | 93352 |
| B. | 94362 |
| C. | 93362 |
| D. | 95362 |
| Answer» D. 95362 | |
| 265. |
If \(|\vec a|\) = 3, \(\left| {\vec b} \right| = 4\) and \(\left| {\vec a - \vec b} \right| = 5,\) then what is the value of \(\left| {\vec a + \vec b} \right|\)? |
| A. | 8 |
| B. | 6 |
| C. | 5√2 |
| D. | 5 |
| Answer» E. | |
| 266. |
A symbol having a fixed numerical value is called a ______ |
| A. | Variable |
| B. | Constant |
| C. | Expression |
| D. | Theorem |
| Answer» C. Expression | |
| 267. |
Nature of the roots of the quadratic equation x2 – 6x + 9 = 0 |
| A. | Infinite |
| B. | Two distinct real roots |
| C. | Two equal real roots |
| D. | Two complex roots |
| Answer» D. Two complex roots | |
| 268. |
If the sum of eigenvalues of matrix \(A = \left[ {\begin{array}{*{20}{c}} {16}&9&7\\ { - 9}&{{k^2}}&3\\ 5&{16}&9 \end{array}} \right]\) is 29, then the possible values of k will be: |
| A. | 3, -2 |
| B. | 2, -2 |
| C. | 3, -3 |
| D. | 2, 3 |
| Answer» C. 3, -3 | |
| 269. |
If the system of equations 2x + 3y = 4 and 6x + 9y = k has no solution, then the value (s) of k is (are) |
| A. | 12 |
| B. | ll real values except 6 |
| C. | all real values except 4 |
| D. | all real values except 12 |
| Answer» E. | |
| 270. |
If (x + y)2 – xy = 0, then find the value of (x3 – y3)/(x - y) ? |
| A. | 2 |
| B. | 3 |
| C. | 0 |
| D. | 5 |
| Answer» D. 5 | |
| 271. |
Find the number of solutions a pair of linear equation (4x – 9y + 13 = 0 and 2x + 3y – 13 = 0) have. |
| A. | 1 |
| B. | 2 |
| C. | 10 |
| D. | Infinite |
| Answer» B. 2 | |
| 272. |
Lata makes 20 kg paneer at home and sells it every morning. From one litre of milk, she makes 200 gms of paneer. The cost of a litre of milk is Rs. 40. How much money does she spend in procuring milk every day? |
| A. | Rs. 3,000 |
| B. | Rs. 4,000 |
| C. | Rs. 2,000 |
| D. | Rs. 2,500 |
| Answer» C. Rs. 2,000 | |
| 273. |
If x + (1/x) = 2, then what is the value of x21 + (1/x1331)? |
| A. | 0 |
| B. | 1 |
| C. | 2 |
| D. | 4 |
| Answer» D. 4 | |
| 274. |
For what value of b, the inequality b2 + 8b ≥ 9b + 14 is correct? |
| A. | b ≥ -5, b ≤ 4 |
| B. | b ≥ 5, b ≤ -4 |
| C. | -4 ≤ b ≤ 5 |
| D. | None of the above |
| Answer» C. -4 ≤ b ≤ 5 | |
| 275. |
If a + b + c = 7 and a3 + b3 + c3 - 3abc = 175, then what is the value of (ab + bc + ca)? |
| A. | 8 |
| B. | 7 |
| C. | 6 |
| D. | 9 |
| Answer» B. 7 | |
| 276. |
If x + 1/x = 17, then what is the value of \(\frac{{{x^4} + \frac{1}{{{x^2}}}}}{{{x^2} - 3x + 1}}?\) |
| A. | 2431/7 |
| B. | 3375/7 |
| C. | 3375/14 |
| D. | 3985/9 |
| Answer» B. 3375/7 | |
| 277. |
A gentleman left a sum of Rs. 39000 to be distributed among his widow, 5 sons and 4 daughters. If each son receives three times as much as a daughter receives, and each daughter receives twice as much as their mother receives, then what is the widow’s share? |
| A. | Rs. 1000 |
| B. | Rs. 1200 |
| C. | Rs. 1500 |
| D. | None of the above |
| Answer» B. Rs. 1200 | |
| 278. |
If one of the roots of the equation x2 + px + 12 = 0 is 4, while the equation x2 + px + q = 0 has equal roots, then find the value of q. |
| A. | 49/4 |
| B. | 4 |
| C. | 29/7 |
| D. | 6 |
| Answer» B. 4 | |
| 279. |
If (x - 3)3 + (2x - 5)3 + (x - 4)3 = (3x - 9) (2x - 5) (x - 4), then what is the value of x? |
| A. | 5 |
| B. | 4 |
| C. | 2 |
| D. | 3 |
| Answer» E. | |
| 280. |
If x + 1/x = 5, then x3 + 1/x3 is equal to: |
| A. | 125 |
| B. | 130 |
| C. | 110 |
| D. | 145 |
| Answer» D. 145 | |
| 281. |
How many numbers are there between 99 and 1000 such that the digit 8 occupies the units place? |
| A. | 64 |
| B. | 80 |
| C. | 90 |
| D. | 104 |
| Answer» D. 104 | |
| 282. |
If the value of 2x - \(\frac{1}{2x} = 6\), then the value of 4x2+ \(\frac{1}{4x^2}\) is |
| A. | 38 |
| B. | 39 |
| C. | 40 |
| D. | 42 |
| Answer» B. 39 | |
| 283. |
If 3x = 4y = 12-z, find the value of \(\frac{3}{x} + \frac{3}{y} + \frac{3}{z}\).A. 1B. 6C. 4D. 0 |
| A. | D |
| B. | B |
| C. | C |
| D. | A |
| Answer» B. B | |
| 284. |
If (2x – 5y)3 – (2x + 5y)3 = y[Ax2 + By2], then what is the value of (2A – B)? |
| A. | 10 |
| B. | 15 |
| C. | 40 |
| D. | 25 |
| Answer» B. 15 | |
| 285. |
If α and β are two roots of the quadratic equation ax2 - bx + c = 0 where a, b, c are constants and a ≠ 0, then the value of \(\frac{1}{α}+\frac{1}{\beta}\) is |
| A. | \(\frac{c}{b}\) |
| B. | \(\frac{c}{a}\) |
| C. | \(\frac{-b}{c}\) |
| D. | \(\frac{b}{c}\) |
| Answer» E. | |
| 286. |
If the linear factors of ax2 - (a2 + 1) x + a are p and q, then p + q is equal to |
| A. | (x - 1) (a + 1) |
| B. | (x + 1) (a + 1) |
| C. | (x - 1) (a - 1) |
| D. | (x + 1) (a - 1) |
| Answer» B. (x + 1) (a + 1) | |
| 287. |
If a3 + 1/a3 = 52, then the value of 2 (a + 1/a) is: |
| A. | 4 |
| B. | 6 |
| C. | 8 |
| D. | 2 |
| Answer» D. 2 | |
| 288. |
If price of oranges is increased by 30%, then a person can buy 12 oranges less for Rs. 208. What is the original price (in Rs.) of an orange? |
| A. | 2 |
| B. | 4 |
| C. | 8 |
| D. | 3 |
| Answer» C. 8 | |
| 289. |
If a2 + b2 + c2 + 84 = 4(a - 2b + 4c), then \(\sqrt {ab - bc + ca} \) is equal to: |
| A. | \(4\sqrt {10} \) |
| B. | \(5\sqrt {10} \) |
| C. | \(2\sqrt {10} \) |
| D. | \(\sqrt {10} \) |
| Answer» D. \(\sqrt {10} \) | |
| 290. |
If \(x = \sqrt {15\sqrt {15\sqrt {15\sqrt {15\sqrt {15} } } } } \ldots .\infty \) and x > 0, then find the value of x2 + 4 |
| A. | 125 |
| B. | 179 |
| C. | 200 |
| D. | 229 |
| Answer» E. | |
| 291. |
p ∝ q when ‘r’ remains unchanged and p ∝ 1/r when q remains unchanged. If r = 4 when p = 10 and q = 8, what is the value of r when p = 15 and q = 9? |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| D. | 6 |
| Answer» D. 6 | |
| 292. |
If one of the roots of quadratic having rational coefficients is √7 - 4, then the quadratic equation is: |
| A. | x2 - 2√7x - 9 = 0 |
| B. | x2 - 8x + 9 = 0 |
| C. | x2 + 8x + 9 = 0 |
| D. | x2 - 2√7x + 9 = 0 |
| Answer» B. x2 - 8x + 9 = 0 | |
| 293. |
For any real, square and non-singular matrix B , the det B-1 is |
| A. | Zero |
| B. | (det B)-1 |
| C. | -(det B) |
| D. | det B |
| Answer» C. -(det B) | |
| 294. |
Find the zeros of the polynominal -x3 - 24x2 + 191x - 504 |
| A. | 5, 6, 8 |
| B. | 7, 8, 9 |
| C. | 6, 7, 8 |
| D. | 4, 6, 8 |
| Answer» C. 6, 7, 8 | |
| 295. |
If y = 3 + 2√2, find the value of √2(y2 - y-2). (approximately) |
| A. | 96 |
| B. | 24 |
| C. | 48 |
| D. | 28 |
| Answer» D. 28 | |
| 296. |
Commutative means |
| A. | a + c = b + a |
| B. | a + b = b + c |
| C. | a + b = b + a |
| D. | a + (b + 3) = (a + 2) + c |
| Answer» D. a + (b + 3) = (a + 2) + c | |
| 297. |
If x + y + z = 19, xyz = 216 and xy + yz + zx = 114, then the value of \(\sqrt {{x^3} + {y^3} + {z^3} + xyz}\) is: |
| A. | 32 |
| B. | 28 |
| C. | 30 |
| D. | 35 |
| Answer» E. | |
| 298. |
Let a and b be two positive real numbers such that a√a + b√b = 32 and a√b + b√a = 31. What is the value of 5(a + b)/7? |
| A. | 5 |
| B. | 7 |
| C. | 9 |
| D. | Cannot be determined |
| Answer» D. Cannot be determined | |
| 299. |
For the inequation x2 - 7x + 12 > 0, which one of the following is correct? |
| A. | 3 < x < 4 |
| B. | - ∞ < x < 3 only |
| C. | 4 < x < ∞ only |
| D. | -∞ < x < 3 or 4 < x < ∞ |
| Answer» E. | |
| 300. |
If x = 21/3 + 2-1/3, then the value of 2x3 - 6x - 5 is equal to |
| A. | 0 |
| B. | 1 |
| C. | 2 |
| D. | 3 |
| Answer» B. 1 | |