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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.
| 1. |
The function to evaluate the value of a polynomial,l for a constant value of the independent variable(say a) in the polynomial is ______a) poly(p,a), p is a row vectorb) polyder(p)c) polyint(p)d) polyval(c, |
| A. | in the polynomial is ______a) poly(p,a), p is a row vector |
| B. | polyder(p) |
| C. | polyint(p) |
| D. | polyval(c,a), c is a row vector |
| Answer» E. | |
| 2. |
How can the formulation of polynomial be done from its roots? |
| A. | poly(r), r is a row vector, containing the roots of the polynomial |
| B. | poly([roots as a coloumn vector]) |
| C. | poly([roots as a row vector]) |
| D. | poly([roots in descending order as a coloumn vector]) |
| Answer» C. poly([roots as a row vector]) | |
| 3. |
Name the functions used, for multiplication and division of two polynomials in MATLAB. |
| A. | conv() and deconv() |
| B. | mult() and div() |
| C. | conv() and div() |
| D. | mult and div |
| Answer» B. mult() and div() | |
| 4. |
MATLAB sees a ________ ordered variable as a vector of dimension n*1. |
| A. | nth, (n+2)th |
| B. | nth, (n+3)th |
| C. | (n-1)th, nth |
| D. | nth, (n-1)th |
| Answer» D. nth, (n-1)th | |
| 5. |
What happens if we don’t assign a variable to an expression which evaluates a numerical value? |
| A. | MATLAB shows error |
| B. | Nothing happens |
| C. | The evaluated values are assigned to a variable ans automatically |
| D. | Depends on the numerical value |
| Answer» D. Depends on the numerical value | |
| 6. |
How would you simplify log(x20) – log(x13) – log(x7) in MATLAB? (Assume x is defined as a string variable) |
| A. | simplify(log(x20)-log(x13)–log(x7)); |
| B. | log(x20) – log(x13) – log(x7) |
| C. | simplify(log(x20)-log(x13)–log(x7),’IgnoreAnalyticConstraints’,true) |
| D. | simplify(log(x20)-log(x13)–log(x7)) |
| E. | simplify(log(x20)-log(x13)–log(x7));b) log(x20) – log(x13) – log(x7)c) simplify(log(x20)-log(x13)–log(x7),’IgnoreAnalyticConstraints’,true)d) simplify(log(x20)-log(x13)–log(x7)) |
| Answer» D. simplify(log(x20)-log(x13)–log(x7)) | |
| 7. |
In the function vpa(‘981’,10), why do we put 981 within inverted commas? |
| A. | We can choose to not put the value within a pair of single inverted comma |
| B. | We do it so that we don’t get an approximated value |
| C. | We do it to get the exact value as MATLAB computes exact values, of numerical expressions, when declared within a string |
| D. | We do it to get a floating-point approximated value, approximated to 14 digits |
| Answer» D. We do it to get a floating-point approximated value, approximated to 14 digits | |
| 8. |
What is the nature of the arrangement of the coefficients to store the following expression in MATLAB? |
| A. | y=[3,0,0,1,0,6] |
| B. | y=[3,1,6] |
| C. | y=[3;0;0;1;0;6] |
| D. | y=[6,0,1,0,0,3] View Answer |
| Answer» B. y=[3,1,6] | |
| 9. |
What is the difference between syms ‘x’ and sym ‘x’? |
| A. | there is no difference, they are the same functions |
| B. | they are equivalent |
| C. | syms ‘x’ makes the declaration long lasting while sym ‘x’ makes the declaration short lasting |
| D. | syms ‘x’ makes the symbol short lasting while sym ‘x’ makes the declaration long lasting |
| Answer» D. syms ‘x’ makes the symbol short lasting while sym ‘x’ makes the declaration long lasting | |
| 10. |
Find the inverse of \(\left( {\begin{array}{*{20}{c}}2&3\\4&5\end{array}} \right)\) |
| A. | \(\left( {\begin{array}{*{20}{c}}2&3\\4&5\end{array}} \right)\) |
| B. | \(\left( {\begin{array}{*{20}{c}}5&{ - 3}\\{ - 4}&2\end{array}} \right)\) |
| C. | \({1}{{ - 2}}\left( {\begin{array}{*{20}{c}}5&{ - 3}\\{ - 4}&2\end{array}} \right)\) |
| D. | Inverse not exists |
| Answer» D. Inverse not exists | |
| 11. |
If \({x^2} - 3\sqrt 2 x + 1 = 0\), then the value of \({x^3} + \frac{1}{{{x^3}}}\) is: |
| A. | \(45\sqrt 2 \) |
| B. | \(54\sqrt 2 \) |
| C. | \(24\sqrt 6 \) |
| D. | \(36\sqrt 6\) |
| Answer» B. \(54\sqrt 2 \) | |
| 12. |
If 4x2 – 6x + 1 = 0, then the value of 8x3 + (8x3)-1 is∶ |
| A. | 11 |
| B. | 13 |
| C. | 36 |
| D. | 18 |
| Answer» E. | |
| 13. |
Let \(\vec {a} = 3{\rm{\hat i}} + 2{\rm{\hat j}} + 2{\rm{\hat k\;and\;\vec b}} = {\rm{\hat i}} + 2{\rm{\hat j}} - 2{\rm{\hat k}}\) be two vectors. If a vector perpendicular to both the vectors \(\overrightarrow {a} + {\rm{\vec b\;and\;}}\overrightarrow {a} - {\rm{\vec b}}\) has the magnitude 12 then one such vector is: |
| A. | \(4\left( {2{\rm{\hat i}} + 2{\rm{\hat j}} + {\rm{\hat k}}} \right)\) |
| B. | \(4\left( {2{\rm{\hat i}} - 2{\rm{\hat j}} - {\rm{\hat k}}} \right)\) |
| C. | \(4\left( {2{\rm{\hat i}} + 2{\rm{\hat j}} - {\rm{\hat k}}} \right)\) |
| D. | \(4\left( { - 2{\rm{\hat i}} - 2{\rm{\hat j}} + {\rm{\hat k}}} \right)\) |
| Answer» C. \(4\left( {2{\rm{\hat i}} + 2{\rm{\hat j}} - {\rm{\hat k}}} \right)\) | |
| 14. |
If x = 2k - 1 and y = k is solution of the equation 3x - 5y - 7 = 0, find the value of K. |
| A. | 10 |
| B. | 8 |
| C. | 15 |
| D. | 4 |
| Answer» B. 8 | |
| 15. |
If x = 2 – p, then x3 + 6xp + p3 is equal to: |
| A. | 4 |
| B. | 8 |
| C. | 6 |
| D. | 12 |
| Answer» C. 6 | |
| 16. |
If a + b + c = 4 and ab + bc + ca = 1, then the value of a3 + b3 + c3 – 3abc is: |
| A. | 52 |
| B. | 47 |
| C. | 50 |
| D. | 60 |
| Answer» B. 47 | |
| 17. |
If roots of x2 – 4x + a = 0 are equal, then a = ? |
| A. | –4 |
| B. | 4 |
| C. | 8 |
| D. | –8 |
| Answer» C. 8 | |
| 18. |
If 24√3 x3 + 2√2 y3 = (2√3x + √2y)(Ax2 + Bxy + Cy2) then (2A + √6B – C) is equal to: |
| A. | 14 |
| B. | 10 |
| C. | 6 |
| D. | 8 |
| Answer» C. 6 | |
| 19. |
If \(\;X = \frac{{2 + \sqrt 3 }}{{2 - \sqrt 3 }}\) then what is the value of \(X + \frac{1}{X}\) |
| A. | 14 |
| B. | 8√3 |
| C. | 0 |
| D. | 18 |
| Answer» B. 8√3 | |
| 20. |
Let k be a constant. The equations kx + y = 3 and 4x + ky = 4 have a unique solution if and only if |
| A. | k ≠ 2 |
| B. | |k| = 2 |
| C. | k = 2 |
| D. | |k| ≠ 2 |
| Answer» B. |k| = 2 | |
| 21. |
p(x) = ax3 + bx + c and q(x) = a1x2 + b1x + c1, where a ≠ 0, if the product of p(x)and q(x) is r(x), then what kind of polynomial is r(x)? |
| A. | Polynomial of degree one |
| B. | Polynomial of degree four |
| C. | Polynomial of degree five |
| D. | Not possible to say |
| Answer» D. Not possible to say | |
| 22. |
3 chairs and 2 tables cost Rs. 700 and 5 chairs and 3 tables cost Rs. 1100. What is the cost of 1 chair and 2 tables? |
| A. | Rs. 350 |
| B. | Rs. 400 |
| C. | Rs. 500 |
| D. | Rs. 550 |
| Answer» D. Rs. 550 | |
| 23. |
If x/(y + z) = y/(x + z) = z/(x + y) = K, The possible value of K is _________. |
| A. | -2 |
| B. | 1/2 and -1 |
| C. | -1/2 and 1 |
| D. | -1 |
| Answer» C. -1/2 and 1 | |
| 24. |
If a - 1/a = 1, then a2 + 1/a2 = ? |
| A. | 1 |
| B. | 3 |
| C. | 2 |
| D. | 4 |
| Answer» C. 2 | |
| 25. |
Find the value of k, for which the system of equations kx + 3y = 26 and 21x + (k + 2)y = 71 + k has infinitely many solutions. |
| A. | k = 9 |
| B. | k = 7 |
| C. | k = 6 |
| D. | k = 0 |
| Answer» C. k = 6 | |
| 26. |
If \({x^{2n}}\; + \;\frac{1}{{{x^{2n}}}}\; = \;k\), then find the value of \({x^n} - \frac{1}{{{x^n}}}.\) |
| A. | \(\sqrt {k - 2} \) |
| B. | \(\sqrt {k\; + \;2}\) |
| C. | k – 2 |
| D. | k + 2 |
| Answer» B. \(\sqrt {k\; + \;2}\) | |
| 27. |
If x = 2 + √3, then find the value of x4 – 8x3 + 16x2 |
| A. | 1 |
| B. | -1 |
| C. | 2 |
| D. | 0 |
| Answer» B. -1 | |
| 28. |
If the roots of the equation (q – r)x2 + (r – p)x + (p – q) = 0 are equal, then which of the following is true? |
| A. | p + q = 2r |
| B. | p + r = 2q |
| C. | p + q + r = 0 |
| D. | p – q – r = 0 |
| Answer» C. p + q + r = 0 | |
| 29. |
500 is divided into two parts in such a way that one-third of one part is 72 less than the other. Find both the numbers. |
| A. | 321,176 |
| B. | 321, 179 |
| C. | 394,106 |
| D. | 372,128 |
| Answer» C. 394,106 | |
| 30. |
If x + y + z = 0, then (x + y - z)3 + (y + z - x)3 + (z + x - y)3 = k(xyz), where k is equal to: |
| A. | -3 |
| B. | 3 |
| C. | -24 |
| D. | 9 |
| Answer» D. 9 | |
| 31. |
If λ is eigenvalues of A, and A is idempotent matrix, then |
| A. | λ ≠ 0 |
| B. | λ ≠ 1 |
| C. | Either λ = 0 or λ = 1 |
| D. | λ ≠ 0 and λ = 1 |
| Answer» D. λ ≠ 0 and λ = 1 | |
| 32. |
A’s share is 2 times that of B whose share is 3 times that of C. Rs. 1800/ - is to be given to them in that ratio. Find the B’s share. |
| A. | Rs. 1080 |
| B. | Rs. 540 |
| C. | Rs. 180 |
| D. | Rs. 900 |
| Answer» C. Rs. 180 | |
| 33. |
If x – y – √18 = -1 and x + y – 3√2 = 1, what is the value of 12xy(x2 – y2)? |
| A. | 0 |
| B. | 1 |
| C. | 512√2 |
| D. | 612√2 |
| Answer» E. | |
| 34. |
If x + y = 3, xy = 2, find the value of x3 – y3. |
| A. | 13 |
| B. | 11 |
| C. | 5 |
| D. | 7 |
| Answer» E. | |
| 35. |
If A = 125 and B = 8, then what is the value of (A + B)3 - (A - B)3 - 6B(A2 - B2)? |
| A. | 4096 |
| B. | 4608 |
| C. | 4224 |
| D. | 3456 |
| Answer» B. 4608 | |
| 36. |
If t2 - 4t + 1 = 0, then the value of \(t^3+\frac{1}{t^3}\)is |
| A. | 44 |
| B. | 48 |
| C. | 52 |
| D. | 64 |
| Answer» D. 64 | |
| 37. |
If 5x + 4(1 - x) > 3x - 4 > 5x/3 - x/3 then x can take which of the following values? |
| A. | 2 |
| B. | 1 |
| C. | 3 |
| D. | -1 |
| Answer» D. -1 | |
| 38. |
If x + [1/(4x)] = 5/2, then what is the value of (64x6 + 1)/8x3? |
| A. | 110 |
| B. | 115 |
| C. | 125 |
| D. | 140 |
| Answer» B. 115 | |
| 39. |
Let u and v be two vectors in R2 whose Euclidean norms satisfy \(\parallel u\parallel = 2\parallel v\parallel .\) What is the value of α such that w = u + αv bisects the angle between u and v? |
| A. | 2 |
| B. | 1 |
| C. | 1/2 |
| D. | -1/2 |
| Answer» B. 1 | |
| 40. |
If x = y + z then x3– y3– z3 is: |
| A. | 0 |
| B. | 3xyz |
| C. | – 3xyz |
| D. | 1 |
| Answer» C. – 3xyz | |
| 41. |
Let \(A = \left( {\begin{array}{*{20}{c}} 0&0&{ - 1}\\ 0&{ - 1}&0\\ { - 1}&0&0 \end{array}} \right).\) The only correct statement about the matrix A is |
| A. | A is a zero matrix |
| B. | A2 = I |
| C. | A-1 does not exist |
| D. | A = (-1)I, where I is a unit matrix |
| Answer» C. A-1 does not exist | |
| 42. |
If x2 - x - 42 is divided by x + 6, the remainder will be |
| A. | 7 |
| B. | -6 |
| C. | 0 |
| D. | none of these |
| Answer» D. none of these | |
| 43. |
If a3 + b3 = 110 and a + b = 5, then (a + b)2 - 3ab is equal to: |
| A. | 52 |
| B. | 32 |
| C. | 22 |
| D. | 42 |
| Answer» D. 42 | |
| 44. |
If (135√5 x3 – 2√2 y3) ÷ (3√5 x – √2 y) = Ax2 + By2 + √10 Cxy, then the value of (A + B – 9C) is: |
| A. | 20 |
| B. | 10 |
| C. | 18 |
| D. | 12 |
| Answer» B. 10 | |
| 45. |
If a − b = − 5 and a2 + b2 = 73, then find ab. |
| A. | 35 |
| B. | 14 |
| C. | 50 |
| D. | 24 |
| Answer» E. | |
| 46. |
if x3 - 6x2 + ax + b is divisible by (x2 - 3x + 2), then the values of a and b are: |
| A. | a = -6 and b = -11 |
| B. | a = -11 and b = 6 |
| C. | a= 11 and b = -6 |
| D. | a = 6 and b = 11 |
| Answer» D. a = 6 and b = 11 | |
| 47. |
A number is greater than 10 times its reciprocal by 3. What is the number? |
| A. | 5 |
| B. | 6 |
| C. | 7 |
| D. | 8 |
| Answer» B. 6 | |
| 48. |
If a + b = 10 and ab = 24, then what is the value of a3 + b3? |
| A. | 280 |
| B. | 152 |
| C. | 140 |
| D. | 72 |
| Answer» B. 152 | |
| 49. |
If a – b = 5 and ab = 2, then a3 – b3 is equal to: |
| A. | 95 |
| B. | 155 |
| C. | 125 |
| D. | 145 |
| Answer» C. 125 | |
| 50. |
For any square matrix P, defined matrices Q = P + PT, R = P - PT, then |
| A. | both Q and R are anti-symmetric |
| B. | R is anti-symmetric and Q is symmetric |
| C. | both are symmetric |
| D. | None of the above is true |
| Answer» C. both are symmetric | |