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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.
| 1351. |
If x = 11, the value of x5– 12x4 + 12x3– 12x2 + 12x – 1 is |
| A. | 11 |
| B. | 10 |
| C. | 12 |
| D. | – 10 |
| Answer» C. 12 | |
| 1352. |
ab(a – b) + bc(b – c) + ca(c – a) is equal to : |
| A. | (a + b)(b – c)(c – a) |
| B. | (b – a)(b – c)(c – a) |
| C. | (a –b)(b – c)(c – a) |
| D. | (a –b)(b + c)(c – a) |
| Answer» C. (a –b)(b – c)(c – a) | |
| 1353. |
In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer.I. x2 – 11x + 30 = 0II. y2 + 12y + 36 = 0 |
| A. | x > y |
| B. | x < y |
| C. | x ≥ y |
| D. | x ≤ y |
| E. | x = y or the relationship between x and y cannot be established. |
| Answer» B. x < y | |
| 1354. |
A bag contains 25 paise, 50 paise, and Rs. 1 coins. There are 220 coins in all and the total amount in the bag is 160. If there are thrice as many 1 rupee coins as there are 25 paise coins, then what is the number of 50 paise coins? |
| A. | 60 |
| B. | 40 |
| C. | 120 |
| D. | 80 |
| Answer» B. 40 | |
| 1355. |
If the set of the triplets (x1, x2, x3) of the real number R form a vector space V3 then a subspace denoted by a vertical plane y = x can be obtained by a linear combination of sets: |
| A. | (1, 1, 0) and (0, 0, 1) |
| B. | (1, 0, 1) and (0, 0, 1) |
| C. | (1, 0, 0) and (0, 1, 0) |
| D. | (1, 1, 0) and (1, 0, 0) |
| Answer» B. (1, 0, 1) and (0, 0, 1) | |
| 1356. |
If a3 = 117 + b3 and a = 3 + b, then the value of a + b is: |
| A. | 7 |
| B. | 49 |
| C. | 13 |
| D. | 0 |
| Answer» B. 49 | |
| 1357. |
If xy + z = 1, yx + z = 1024 and zx + y = 729 (x, y and z are natural numbers), then what is the value of (z + 1)y + x + 1 ? |
| A. | 6561 |
| B. | 10000 |
| C. | 4096 |
| D. | 14641 |
| Answer» C. 4096 | |
| 1358. |
Given: If w = –2, x = 3, y = 0, and z = –1/2, then Find the value of \(\ x\sqrt{(x+wz)}\) A. ± 6B. -6C. 6D. 5 |
| A. | A |
| B. | B |
| C. | C |
| D. | D |
| Answer» D. D | |
| 1359. |
If [a + (1/a)]2 – 2[a – (1/a)] = 12, then which of the following is a value of 'a'? |
| A. | -8 + √ 3 |
| B. | -8 – √3 |
| C. | -8 + √5 |
| D. | None of these |
| Answer» E. | |
| 1360. |
If x – 1/x = 3√2, then x2 + 1/x2 is equal to∶ |
| A. | 52 |
| B. | 56 |
| C. | 20 |
| D. | 46 |
| Answer» D. 46 | |
| 1361. |
If (c - d) = (c + d)/5 = (cd)/3 and c, d ≠ 0, then what is the value of cd? |
| A. | 1/2 |
| B. | 3/2 |
| C. | 5/2 |
| D. | 5/4 |
| Answer» C. 5/2 | |
| 1362. |
If the difference between the roots of the equation Ax2 - Bx + C = 0 is 4, then which of the following is TRUE? |
| A. | B2 - 16A2 = 4AC + 4B2 |
| B. | B2 - 10A2 = 4AC + 6A2 |
| C. | B2 - 8A2 = 4AC + 10A2 |
| D. | B2 - 16A2 = 4AC + 8B2 |
| Answer» C. B2 - 8A2 = 4AC + 10A2 | |
| 1363. |
If x2 + kx + k = 0 has no solution, then the value of k will satisfy: |
| A. | k > 4 |
| B. | 0 < k < 4 |
| C. | k < 4 |
| D. | k > -4 |
| Answer» C. k < 4 | |
| 1364. |
(ax + by) is a factor of: |
| A. | a2x2 + 2ab + b2y2 |
| B. | a2x2 + 2ab + b2y2x |
| C. | a2x2 + 2abxy + b2y2 |
| D. | a2x2 + 2ab - b2y2 |
| Answer» D. a2x2 + 2ab - b2y2 | |
| 1365. |
If a3 + b3 = 62 and a + b = 2, then the value of ab is: |
| A. | -6 |
| B. | 9 |
| C. | 6 |
| D. | -9 |
| Answer» E. | |
| 1366. |
If a point R(4, y, z)t lies on the line segment joining the points P(2,-3, 4) and Q(8, 0, 10), then the distance of R from the origin is: |
| A. | \(2\sqrt {14}\) |
| B. | \(2\sqrt {21}\) |
| C. | 6 |
| D. | \(\sqrt {53}\) |
| Answer» B. \(2\sqrt {21}\) | |
| 1367. |
If x + [1/(x + 7)] = 0, then what is the value of x – [1/(x + 7)]? |
| A. | 3√5 |
| B. | 3√5 – 7 |
| C. | 3√5 + 7 |
| D. | 8 |
| Answer» C. 3√5 + 7 | |
| 1368. |
If \(\left( {{x^8} + \frac{1}{{{x^8}}}} \right) = 47\) , what is the value of \(\left( {{x^6} + \frac{1}{{{x^6}}}} \right)?\) |
| A. | 36 |
| B. | 27 |
| C. | 18 |
| D. | 9 |
| Answer» D. 9 | |
| 1369. |
If A and B are symmetric matrices, then AB are symmetric if: |
| A. | AB = BA |
| B. | AB < BA |
| C. | AB > BA |
| D. | AB ≠ BA |
| Answer» B. AB < BA | |
| 1370. |
If the roots of the quadratic equation x2 + kx + 9 are equal, then find the value of K? |
| A. | 81 |
| B. | ± 8 |
| C. | ± 6 |
| D. | \(\frac{1}{{81}}\) |
| Answer» D. \(\frac{1}{{81}}\) | |
| 1371. |
If a3 – b3 = 416 and a – b = 8, then (a + b)2 – ab is equal to∶ |
| A. | 38 |
| B. | 52 |
| C. | 42 |
| D. | 32 |
| Answer» C. 42 | |
| 1372. |
If \(2r=h+\sqrt{{{r}^{2}}+{{h}^{2}}}\) then the ratio r : h (r ≠ 0) is: |
| A. | 1 : 2 |
| B. | 2 : 3 |
| C. | 4 : 3 |
| D. | 3 : 5 |
| Answer» D. 3 : 5 | |
| 1373. |
For which value of ‘g’ the linear graph of 6x + 12y +9 = 0 and 2x + gy + 3 = 0 has infinite number of solutions? |
| A. | 3 |
| B. | 4 |
| C. | 6 |
| D. | 9 |
| Answer» C. 6 | |
| 1374. |
Consider the following statements:1. x + 3 is a factor of x3 + 2x2 + 3x + 82. x – 2 is a factor of x3 + 2x2 + 3x + 8Which of the statements given above is/are correct? |
| A. | Only 1 |
| B. | Only 2 |
| C. | Both 1 and 2 |
| D. | Neither 1 nor 2 |
| Answer» E. | |
| 1375. |
Cramer's rule is an explicit formula for the solution of a system of |
| A. | nonlinear equation |
| B. | quadratic equation |
| C. | variable equation |
| D. | linear equations |
| Answer» E. | |
| 1376. |
If (x – 5)3 + (x – 6)3 + (x – 7)3 = 3(x – 5)(x – 6)(x – 7), then what is the value of x? |
| A. | 7 |
| B. | 6 |
| C. | 5 |
| D. | 18 |
| Answer» C. 5 | |
| 1377. |
If a, b, c positive number such that a + b + c = 4, then a3 + b3 + c3 is: |
| A. | Less than of equal to \(\dfrac{16}{19}\) |
| B. | Greater than or equal to \(\dfrac{16}{19}\) |
| C. | Less than or equal to \(\dfrac{64}{9}\) |
| D. | Greater than or equal to \(\dfrac{64}{9}\) |
| Answer» E. | |
| 1378. |
If x + y + z = 5, x2 + y2 + z2 = 21 and y2 = zx, then the value of y is: |
| A. | 1/5 |
| B. | 2/5 |
| C. | 1/2 |
| D. | 1/4 |
| Answer» C. 1/2 | |
| 1379. |
\(\frac{0.41 \times 0.41 \times 0.41 + 0.69 \times 0.69 \times 0.69}{0.41 \times 0.41 - 0.41 \times 0.69 + 0.69 \times 0.69}\) is equal to |
| A. | 0.28 |
| B. | 11 |
| C. | 1.10 |
| D. | 2.8 |
| Answer» D. 2.8 | |
| 1380. |
If (x/a) + (y/b) = 3 and (x/b) – (y/a) = 9, then what is the value of x/y? |
| A. | (b + 3a) / (a – 3b) |
| B. | (a + 3b) / (b – 3a) |
| C. | (1 + 3a) / (a + 3b) |
| D. | (a + 3b2) / (b – 3a2) |
| Answer» B. (a + 3b) / (b – 3a) | |
| 1381. |
Let \(A\) be a \(4 \times 3\) real matrix with rank 2. Which one of the following statement is TRUE? |
| A. | Rank of \({A^T}A\) is less than 2. |
| B. | Rank of \({A^T}A\) is equal to 2. |
| C. | Rank of \({A^T}A\) is greater than 2. |
| D. | Rank of \({A^T}A\) can be any number between 1 and 3. |
| Answer» C. Rank of \({A^T}A\) is greater than 2. | |
| 1382. |
If \(= P = \left[ {\begin{array}{*{20}{c}} 1&2\\ 3&4 \end{array}} \right]\) and \(= Q = \left[ {\begin{array}{*{20}{c}} 0&1\\ 1&0 \end{array}} \right]\) then QT PT is |
| A. | \(\left[ {\begin{array}{*{20}{c}} 1&2\\ 3&4 \end{array}} \right]\) |
| B. | \(\left[ {\begin{array}{*{20}{c}} 2&4\\ 1&3 \end{array}} \right]\) |
| C. | \(\left[ {\begin{array}{*{20}{c}} 2&1\\ 4&3 \end{array}} \right]\) |
| D. | \(\left[ {\begin{array}{*{20}{c}} 1&3\\ 2&4 \end{array}} \right]\) |
| Answer» C. \(\left[ {\begin{array}{*{20}{c}} 2&1\\ 4&3 \end{array}} \right]\) | |
| 1383. |
If the vectors \(2\hat i - \hat j + \hat k,\;3\hat i + p\hat k\;and\;4\hat j - 5\hat k\) are coplanar then value of p is ? |
| A. | 2 |
| B. | 3/8 |
| C. | - 3/8 |
| D. | - 2 |
| Answer» D. - 2 | |
| 1384. |
If â and b̂ are two unit vectors, then the vector (â + b̂) × (â × b̂) is parallel to |
| A. | (â - b̂) |
| B. | (â + b̂) |
| C. | (2â - b̂) |
| D. | (2â + b̂) |
| Answer» B. (â + b̂) | |
| 1385. |
For three numbers sum of the first two is 56, the sum of the second and third is 64 and the sum of the third and first is 70. What is the largest number? |
| A. | 26 |
| B. | 48 |
| C. | 39 |
| D. | 34 |
| Answer» D. 34 | |
| 1386. |
For the equation (x -1)2 + (x - 2)2 + (x - 3)2 = 0 |
| A. | values of x are 1, 2, 3 |
| B. | values of x are -1, -2, -3 |
| C. | there is no real value of x |
| D. | None of the above |
| Answer» B. values of x are -1, -2, -3 | |
| 1387. |
Find the zeros of the function f(x) = (x - 3)(x- 2). |
| A. | 3, 2 |
| B. | 0, -2 |
| C. | -3, -2 |
| D. | 0 |
| Answer» B. 0, -2 | |
| 1388. |
If x = 2 then the value of x3 + 27x2 + 243x + 631. |
| A. | 1233 |
| B. | 1231 |
| C. | 1321 |
| D. | 1211 |
| Answer» B. 1231 | |
| 1389. |
If (x - 1/x) = 10, then (x3 - 1/x3) is equal to: |
| A. | 970 |
| B. | 1000 |
| C. | 1030 |
| D. | 1100 |
| Answer» D. 1100 | |
| 1390. |
If x and y are positive integers which satisfy the equation x2 - y2 = 11, then the value of x2 + y2 is |
| A. | 11 |
| B. | 31 |
| C. | 61 |
| D. | 91 |
| Answer» D. 91 | |
| 1391. |
If x4 + x-4 = 2207, (x > 0) then the value of x + x-1 is: |
| A. | 19 |
| B. | 7 |
| C. | 11 |
| D. | 9 |
| Answer» C. 11 | |
| 1392. |
Coefficient of x in (x + 8)(6 - 3x) is? |
| A. | 18 |
| B. | 30 |
| C. | -18 |
| D. | -30 |
| Answer» D. -30 | |
| 1393. |
If the number of male graduates in village B is 1200 and the number of male graduates in village A is equal to the number of male graduates in village B. Ratio of male graduates and male population of village A is 2 : 3 then find out the number of total graduate males is what percent of the total population of both the village ? |
| A. | 25% |
| B. | 33.33% |
| C. | 23.53% |
| D. | 50% |
| E. | 30% |
| Answer» D. 50% | |
| 1394. |
Expand : (s + 2)3A. s3 + 2s2 + 12s + 8B. s3 + 3s2 + 6s + 8C. s3 + 6s2 + 12s + 8D. s3 + 6s2 + 6s + 8 |
| A. | D |
| B. | B |
| C. | C |
| D. | A |
| Answer» D. A | |
| 1395. |
If the following system has non-trivial solution,px + qy + rz = 0qx + ry + pz = 0rx + py + qz = 0,then which one of the following options is TRUE? |
| A. | p – q + r = 0 or p = q = -r |
| B. | p + q – r = 0 or p = -q = r |
| C. | p + q + r = 0 or p = q = r |
| D. | p – q + r = 0 or p = -q = -r |
| Answer» D. p – q + r = 0 or p = -q = -r | |
| 1396. |
If (x + 7)3 + (2x + 8)3 + (2x + 3)3 = 3 (x + 7) (2x + 8) (2x + 3), then what is the value of x? |
| A. | 3.6 |
| B. | -3.6 |
| C. | 2.4 |
| D. | -2.4 |
| Answer» C. 2.4 | |
| 1397. |
If \(y = \frac{{2x - 1}}{{x + 3}},\) find x when y = 1A. 4B. -4C. 3/2D. 4/3 |
| A. | C |
| B. | D |
| C. | A |
| D. | B |
| Answer» D. B | |
| 1398. |
Consider p( |
| A. | 0 |
| B. | 1 |
| C. | 2 |
| D. | 3 |
| Answer» C. 2 | |
| 1399. |
If 12x2 – 21x + 1 = 0, then what is the value of 9x2 + (16x2)–1? |
| A. | 429/8 |
| B. | 417/16 |
| C. | 453/8 |
| D. | 465/16 |
| Answer» C. 453/8 | |
| 1400. |
If x3 - y3 = 81 and x - y = 3, then what is the value of x2 + y2? |
| A. | 18 |
| B. | 21 |
| C. | 27 |
| D. | 36 |
| Answer» C. 27 | |